VITAE

EDUCATION

EMPLOYMENT

GRANTS

PUBLICATIONS

POSTDOCS and STUDENTS

 

EDUCATION

Postdoctoral Fellow Department of Mathematics, University of Houston, 05/1998 - 07/1999
Under Marty Golubitsky
Postdoctoral Fellow Department of Physics, University of Houston, 05/1996 - 04/1998
Under Michael Gorman
Ph.D. Applied Mathematics Arizona State University, May 1995
Specialization: Nonlinear Dynamical Systems, Bifurcation Theory in Systems with Symmetry, Mathematical Biology
M.S. Computer Science Arizona State University, May 1994
Specialization: Scientific Visualization, Computer Graphics
M.S. Applied Mathematics Arizona State University, May 1990
Specialization: Numerical Methods, Mathematical Modeling
B.S. Computer Science La Salle University, June 1986
Summa Cum Laude


EMPLOYMENT HISTORY

Professor Department of Mathematics, San Diego State University, 2008-Present
Associate Professor Department of Mathematics, San Diego State University, 2004-2008
Assistant Professor Department of Mathematics, San Diego State University, 1999-2004
Research Scientist Computer Graphics Laboratory, Hewlett-Packard Co., 05/95 - 05/96



GRANTS

Date
Agency
Project Title
Amount
       
01/16 - 12/18 ONR N00016-12013222 Complexity and Scaling Laws of Phase
Drift in Symmetric Networks of Crystal Oscillators for Precision Timing
PI A. Palacios
$300,000
1/16 - 12/16 ONR N00016-12-1-0464 4th International Conference on Theory and Applications in Nonlinear Dynamics
August 2012, Seattle, Washington
PI A. Palacios
$25,000
12/15 - 12/16 DoD - SPAWAR Command N66001-15-D-0099 Synchronization
of Nonlinear Oscillators and Nonlinear Signal reconstruction
PI A. Palacios
$30,000
6/12 - 12/15 ARO W911NF-07-R-003-4 Exploiting Symmetry to Study Coherent Self-Sustaining Dynamics in High Dimensional
Nonlinear Systems
PI A. Palacios
$320,000
7/12 - 12/12 DoD - SPAWAR Command N66001-08-D-0154 Modeling and Simulation of SQIF Devices IV $70,000
6/12 - 12/12 ARO 3rd International Conference on Theory and Applications in Nonlinear Dynamics
August 2012, Seattle, Washington
PI A. Palacios
$25,000
6/12 - 12/12 ONR N00014-12-1-0464 3rd International Conference on Theory and Applications in Nonlinear Dynamics
August 2012, Seattle, Washington
PI A. Palacios
$25,000
9/1 - 3/30/12 STTR/ONR QUASAR-SDSU Compact Broadband Geolocation Systems
PI A. Palacios
$80,000
7/11 - 7/12 DoD - SPAWAR Command N66001-08-D-0154 Modeling and Simulation of SQIF Devices III
PI A. Palacios
$98,966
9/11 - 8/14 NSF CMMI-1068831 DynSyst Special Topics: Spin Torque Nano-Oscillators for Microwave Signal Generation
PI A. Palacios
$250,731
4/10 - 1/11 DoD - SPAWAR Command N66001-08-D-0154 Modeling and Simulation of SQIF Devices II
PI A. Palacios
$99,154
7/09 - 8/10 NSF DMS-0923278 Acquisition of a Computational Mathematics Cluster
co-PI A. Palacios
$91,065
8/09 - 9/10 ONR N00014-10-1-0087 2nd International Conference on Applications in Nonlinear Dynamics
September 2010, Lake Louise, CANADA
PI A. Palacios
$30,000
6/09 - 05/10 DoD - SPAWAR Command N66001-08-D-0154 Bifurcation Analysis of Coupled Gyroscopes
PI A. Palacios
$64,962
8/09 - 7/12 NSF CMMI-0923803 Coupled Inertial Navigation System
PI A. Palacios
$250,000
6/09 - 12/09 DoD - SPAWAR Command N66001-08-D-0154 Modeling and Simulation of SQIF Devices
PI A. Palacios
$93,683
6/08 - 12/08 DoD - SPAWAR Command N66001-03-D-0042 Theoretical Analysis of Coupled Gyroscope Sensors
PI A. Palacios
$49,889
4/07 - 5/08 DoD Office of Naval Research - N00014-07-1-0605 1st International Conference on Applications of Nonlinear Dynamics
October 2007, Kauai, Hawaii
PI A. Palacios
$25,000
8/06 - 8/08 NSF CMS-0625427 Intelligent Magnetic Sensor Networks for Surveillance and Detection of Improvised Explosive Devices
PI A. Palacios
$247,621
8/06 - 8/09 NSF CMS-0638814 A Dynamical Systems Paradigm to Design and Operate Intelligent Magnetic Sensor Networks
PI A. Palacios
$239,875
1/05 - 8/05 DoD - SPAWAR Command N66001-06-M-1008 Advanced Dynamical Magnetic sensors for Defense Applications
PI A. Palacios
$35,000
08/05-07/08 NSF DMS-0504150
A Dynamical Systems Approach to Study Cellular Flame Instability
PI A. Palacios
$225,000
1/17/05 - 7/17/06 SDSU/Grant-in-Aid
Advanced Dynamic Magnetic Sensors
PI A. Palacios
$2,100
07/03-08/04 The San Diego Foundation C-2003-00307
Frequency switching in communications for homeland security.
PI A. Palacios
$60,000
9/00-8/03 DOE DE-PS26-00FT40759
Reduced order models of heat transfer in fluidized beds
co-PI A. Palacios
$323,279
05/03-05/04 Control Dynamics, Inc.
Multi-frequency synthesis by symmetry-based methods. PI A. Palacios
$40,000
05/02-05/03 SPAWAR
Student grant contract. PI’s: A. Palacios and J. Neff (SPAWAR)
$17,000
10/02 SPAWAR
Computer equipment contract for nonlinear dynamics laboratory.
PI A. Palacios
$20,000
12/01 SDSU/Faculty Development Program
Modulated rotating wave patterns. Invited talk presented in Sorrento, Italy, 2002.
PI A. Palacios.
$2,000
11/99 SDSU/RSCA
Analysis and visualization of flame patterns
PI A. Palacios
$4,000
12/99 SDSU/Grant-in-Aid
Analysis of networks of coupled neurons
PI A. Palacios
$2,400

Milk Splash



PATENTS

   
2015 U.S. Patent # 9097751.
Linear Voltage Response of Non-Uniform Arrays of Bi-SQUIDS.
2015 U.S. Patent # 8994461.
Sensor Signal Processing Using Cascade Coupled Oscillators.
2012 U.S. Patent # 8212569.
Coupled Bistable Circuit for Ultra-Sensitive Electric Field Sensing Utilizing Differential Transistors Pairs.
2012 U.S. Patent # 8049570.
Coupled Bistable Microcircuit for Ultra-Sensitive Electric and Magnetic Field Sensing.
2011 U.S. Patent # 8049486.
Coupled Electric Field Sensors for DC Target Electric Field Detection.
2011 U.S. Patent # 7898250.
Coupled Fluxgate Magnetometers for DC and Time-Dependent (AC) Target Magnetic Field Detection
.
2009 U.S. Patent # 7528606.
Coupled Nonlinear Sensor System for Sensing a Time-Dependent Target Signal and Method of Assembling the System.
2008 U.S. Patent # 7420366.
Coupled Nonlinear Sensor System.
2007 U.S. Patent # 7196590.
Multi-Frequency Synthesis Using Symmetry Methods in Arrays of Coupled Nonlinear Oscillators.
2016 Navy Case 101427
Under Review by US Patent Office.
Enhanced Performance in Coupled Gyroscopes
and Elimination of Biasing Signal in a Drive-free Gyroscope. Navy Case 101427.
2016 Navy Case 101950
Under Review by US Patent Office.
Arrays of Superconducting Quantum Interference Devices with Self Adjusting Transfer to Convert Electromagnetic Radiation into a Proportionate Electrical Signal to Avoid Saturation.
2016 Navy Case 102297.
Under Review by US Patent Office.
2D Arrays of Diamond Shaped Cells Having Multiple Josephson Junctions
2016 Navy Case 103829
Under Review by US Patent Office.
Network of Coupled Crystal Oscillators for Precision Timing


BOOKS
  1. V. In, P. Longhini, and A. Palacios. International Conference on Theory and Applications in Nonlinear Dynamics (ICAND 2012). Springer-Verlag 2014.
  1. V. In, P. Longhini, and A. Palacios. Proceedings from the International Conference in Applications in Nonlinear Dynamics. AIP 2011.
  1. V. In, P. Longhini, and A. Palacios. Applications of Nonlinear Dynamics. Springer-Verlag 2009.
  1. V. In and A. Palacios. Symmetry in Complex Systems: A Unifying Approach to Developing Novel Sensor Devices. Under contract with Springer-Verlag.


PUBLICATIONS

 
  1. B. Chan, P.L. Buono and A. Palacios. Topology and bifurcations in Hamiltonian coupled cell systems. Dynamical Systems: An International Journal. Submitted (2015).
  1. P.L. Buono, B. Chan, J. Ferreira, A. Palacios, S. Reeves, P. Longhini and V. In. Collective patterns of oscillations in networks of crystal oscillators for precision timing. SIAM J. Applied Dynamical Systems. Submitted (2015).
  1. V. Berardi, R. Carretero-Gonzalez, M.F. Hovell, N.E. Kepleis, A. Palacios, J. Belletiere and S. Hughes. Proper Orthogonal Decomposition Methods for Air Particle Time-Series in Residences: Exploring Peak Clustering by Occupant Behavior Patterns. Journal of Computational Science, 11, 102–111 (2015).
  1. P.L. Buono, B. Chan, A. Palacios and V. In. A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters. Praman Journal of Physics, 85, no. 5, 929-945 (2015).
  1. P.L. Buono, C. Dabrowski, A. Palacios, J. Turtle, V. In. Collective behavior of an array of spin-torque nano oscillators. Nanotech 2014: MEMS, Fluiics, BioSystems, Medical, Computational & Photonics 2, 391-394 (2015).
  1. K. Beauvais, A. Palacios, R. Shaffer, J. Turtle, V. In and P. Longhini. Coupled spin-torque nano oscillators: stability of synchronization. Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Springer Proceedings in Mathmeatics and Statistics. M.G. Cojocaru, I. Kotsirea, R.N. Makarov, R. Melnik and H. Shodiev, 177, 43-48 (2015).
  1. A. Matus-Vargas, H.G. Gonzalez-Hernadez, B. Chan, A. Palacios, P.L. Buono, S. Naik, A. Phipps, V. In and P. Longhini. Dynamics, Bifurcations and Normal Forms in Arrays of Magnetostrictive Energy Harvesters with All-to-All Coupling. International Journal of Bifurcation and Chaos 25, no. 2, 1550026 (2015).
  1. P.L. Buono, B. Chan, A. Palacios and V. In. Dynamics and Bifurcations in a Dn Symmetric Hamiltonian Network with Applications to Coupled Gyroscopes. Physica D 290, 8-23 (2015).
  1. S. Naik, A. Phipps , V. In, P. Cavaroc, A. Matus-Vargas, A. Palacios, H.G. Gonzalez-Hernadez. Energy harvesting with coupled magnetostrictive resonators. SPIE Proceedings. Active and Passive Smart Structures and Integrated Systems, 9057 (2014).
  1. S. Berggren and A. Palacios. Analytical approximation to the dynamics of an array of coupled DC SQUIDs. The European Physical Journal B, 87:83 (2014).
  1. D. Lyons, J. Mahaffy, S. Wang, A. Palacios and V. In. Geometry of Basins of Attraction and Heteroclinic Connections in Coupled Bistable Systems. International Journal of Bifurcation and Chaos 24, no. 10, 1430029 (2014).
  1. S. Berggren, P. Longhini, A. Palacios, O. Mukhanov, A.L. de Escobar and G. Prokopenko. Modeling the effects of fabrication spreads and noise on series coupled arrays of bi-squids. In Superconductive Electronics Conference (ISEC), pages 1–3, (2013).
  1. J. Turtle, A. Palacios, V. In, and P. Longhini. The dynamics of coupled spin-torque nano-oscillators: An Initial Exploration. International Conference on Theory and Application in Nonlinear Dynamics. 285-291, Springer (2013).
  1. J. Turtle, K. Beauvais, R. Shaffer, A. Palacios, T. Emery, V. In and P. Longhini. Gluing bifurcations in coupled spin torque nano-oscillators. Journal of Applied Physics, 113, no. 11, 114901-114901-10 (2013).
  1. G. Prokopenko, O. Mukhanov, A.L. de Escobar, B. Taylor, M.C. de Andrade, S. Berggren, P. Longhini, A. Palacios, and M. Nisenoff. Dc and rf measurements of wideband serial bi-squid arrays. IEEE Transactions on Applied Superconductivity, 23, no. 3, 1400208 (2013).
  1. S. Berggren, G. Prokopenko, P. Longhini, A. Palacios, O. Mukhanov, A.L. de Escobar, B. Taylor,
    M.C. de Andrade, M. Nisenoff, and R.L. Fagaly.
    Development of 2d bi-squid arrays with high
    linearity. IEEE Transactions on Applied Superconductivity, 23(3):1400208–1400208 (2013).
  1. N. Davies, H. Vu, , A. Palacios, V. In and P. Longhini. Collective behavior of a coupled gyroscope system with coupling along the drive and sense modes. Int. J. Bifurcation and Chaos 23, no. 1, 1350006 (2013).
  1. P. Longhini, S. Berggren, A. Palacios, V. In and A.L. de Escobar. Coupled Non-Uniform bi-SQUID: A Numerical Investigation. AIP Conference Proceedings, Advances on Cryogenic Engineering: Transactions of the Cryogenic Conference (CEC/ICMC) 1434, 1167-1174 (2012).
  1. A. Palacios, V. In, P. Longhini, and A. Kho. Symmetry Induced Heteroclinic Cycles in Coupled Sensor Devices. IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical. Kyoto, Japan. Procedia IUTAM 5, 144-150 (2012).
  1. V. In, P. Longhini,A. Kho, J.D. Neff, D. Leung, N .Liu, B.K. Meadows, F. Gordon and A. Palacios. Nonlinear Channelizer. Chaos, Special Focus Issue: "Fifty Years of Chaos: Applied and Theoretical", Chaos 22, 047514 (2012).
  1. V. In, A. Kho, P. Longhini, and A. Palacios. Coupled overdamped bistable systems with applications to sensor devices. Focus Issue of Nonlinear Theory and its Applications, IEICE, 3(4), 477–496, 2012.
  1. P. J.D. Kelley, G.H. Gunaratne, A. Palacios and J. Shulman. Modal decomposition and normal form for hydrodynamic flows: examples from cellular flame patterns. The European Physical Journal Special Topics 204, 119-131 (2012).
  1. P. Longhini, S. Berggren, A.L. de Escobar, A. Palacios, S. Rice, B. Taylor, V. In, O. Mukhanov, G. Prokopenko, E. Wong, M. de Andrade, and M. Nisenoff. Array of coupled nonuniform bi-SQUIDs. Journal of Applied Physics, 111 093920 (2012).
  1. A. Palacios, H. Vu, V. In, and P. Longhini. Symmetry-based design and fabrication of novel sensor systems. Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology and Society. AIP Conference Proceedings, Vol. 1368, 97-100, Waterloo, Canada (2011).
  1. S. Naik, T. Hikihara, A. Palacios, V. In, H. Vu, P. Longhini. Characterization of Synchronization in a Unidirectionally Coupled System of Nonlinear Michromechanical Resonators. Sensors and Actuators A, 171, no. 2, 361-369 (2011).
  1. P. Longhini, S. Berggren, A. Palacios, V. In, A.L. de Escobar. Modeling Non-Locally Coupled DC SQUID Arrays. IEEE Transactions on Applied Superconductivity 21, no. 3, 391-393 (2011).
  1. P. Longhini, S. Berggren, A. Palacios, A.L. de Escobar and V. In. Coupled Serial and Parallel Non- uniform SQUIDs. AIP Conference Proceedings: International Conference on Applications in Nonlinear Dynamics (ICAND 2010). Volume 1339, pp. 254-259. Lake Louis, CANADA, April 2011.
  1. S. Naik, T. Hikihara, H. Vu, A. Palacios, V. In, P. Longhini. Local Bifurcations of Synchronization in Self-excited and Forced Unidirectionally Coupled Micromechanical Resonators. Journal of Sound and Vibration 331, no. 5, 1127-1142 (2011).
  1. H. Vu, A. Palacios, V. In, P. Longhini, J. Neff. A drive-free vibratory gyroscope. Chaos 21, 013103 (2011).
  1. P. Blomgren, J.M. Martinez, and A. Palacios. Intermittency near a co-dimension three steady-state bifurcation. International Journal of Bifurcation and Chaos 21, no. 1, 287-304 (2011).
  1. S. Baglio, B. Ando, S. Malfa, V. Marletta, C. Trigona, A. Bulsara, P. Longhini, A. Kho, V. In, J. Neff, G. Anderson, C. Obra, N. Liu, B. Meadows, A. Palacios. . Exploiting nonlinear dynamics in novel measurement strategies and devices: From theoretical models to experiments and applications. IEEE Transactions on Instrumentation and Measurement 60, no. 3, 667-695 (2011).
  1. V. In, P. Longhini, A. Kho, N. Liu, S. Naik, A. Palacios, and J. Neff . Frequency down-conversion using cascading arrays of coupled nonlinear oscillators. Physica D 240, 701-708 (2011).
  1. L. Demasi and A. Palacios. A Reduced-order nonlinear aeroelastic analysis of joined wings based on the proper orthogonal decomposition. Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Orlando, FL 2010-2722 (2010).
  1. D. Lyons, J. Mahaffy, A. Palacios, V. In, P. Longhini, A. Kho . Basins of Attraction in a Ring of Overdamped Bistable Systems with Delayed Coupling. Physics Letters A, 374, 2709-2722 (2010).
  1. H. Vu, A. Palacios, V. In, P. Longhini, J. Neff. Two-time scale analysis of a ring of coupled vibratory gyroscopes. Physical Review E 81, 031108 (2010).
  1. V. In, P. Longhini, N. Liu, A. Kho, J. Neff, A. Palacios, A. Bulsara. A bistable microelectronic circuit for sensing extremely low electric field. Journal of Applied Physics 107, 014506 (2010).
  1. A. Bulsara, V. In, A. Kho, G. Anderson, C. Obra, P. Longhini, J. Neff, S. Baglio, B. Ando, A. Palacios. . Time domain quantification of the performance of a nonlinear dynamic device in the presence of a noise floor. Eur. Phys. J. B 69, 109-118 (2009).
  1. P. Blomgren, A. Palacios, and S. Gasner. Recent Advances in 2+1 Dimensional Simulations of the
    Pattern-Forming Kuramoto-Sivashinsky Equation. Mathematics and Computers in Simulations 79, no. 6, 1810-1823 (2009)
  1. A. Kho, V. In, A. Bulsara, P. Longhini, A. Palacios, S. Baglio, and B. Ando. Coupled Fluxgate Magnetometer . Proceedings of the 2nd International Conference on Applications in Nonlinear Dynamics. Kauai, Hawaii (2009) 37-45.
  1. J. Neff, V. In, C. Obra, and A. Palacios. Applications of Nonlinear and Reconfigurable Electronic Circuits. Proceedings of the 2nd International Conference on Applications in Nonlinear Dynamics. Kauai, Hawaii (2009) 119-132.
  1. M. Hernandez, V. In, P. Longhini, A. Palacios, A. Bulsara, and A. Kho . Coupling-induced Oscillations in Nonhomogeneous, Overdamped, Bistable Systems. Physics Letters A, 372, no. 24, 4381-4387 (2008).
  1. A. Bulsara, V. In, A. Kho, A. Palacios, P. Longhini, S. Baglio, and B. Ando. Exploiting nonlinear dynamics in a coupled core fluxgate magnetometer. Measurement Science and Technology 19, 075203 (2008).
  1. P. Longhini, A. Palacios, V. In, J. Neff, A. Kho, and A. Bulsara. Exploiting dynamical symmetry in coupled nonlinear elements for efficient frequency down-conversion Physical Review E 76, 026201 (2007).
  1. A. Palacios, P. Blomgren, and S. Gasner. Bifurcation analysis of hopping behavior in cellular pattern-forming systems. International Journal of Bifurcation and Chaos 17, no. 2, 509-520 (2007).
  1. A. Palacios, J. Aven,V. In, P. Longhini, A. Kho, J. Neff, and A. Bulsara. Coupled-core fluxgate magnetometer: Novel configuration scheme and the effects of a noise-contaminated external signal. Physics Letters A 367, 25-34 (2007)
  1. P. Blomgren, A. Palacios, B. Zhu, S. Daw, C. Finney, J. Halow, and S. Pannala. Bifurcation analysis of bubble dynamics in fluidized beds. Chaos 17, 013120 (2007).
  1. S. Gasner, P. Blomgren, and A. Palacios. Noise-induced intermittency in cellular pattern-forming systems. International Journal of Bifurcation and Chaos 17, no. 8, 1-15 (2007).
  1. A. Palacios. Heteroclinic cycles. Scholarpedia, 8163 (2007).
  1. V. In, A. Bulsara, A. Kho, A. Palacios, S. Baglio, B. Ando and V. Sacco. Exploiting dynamic cooperative behavior in a coupled-core fluxgate magnetometer. Proceedings of the first Conference of Device Applications of Nonlinear Dynamics. Catania, Italy, 67-82 (2006).
  1. A. Palacios, J. Aven, P. Longhini, V. In, A. Bulsara. Cooperative dynamics in coupled noisy dynamical systems near a critical point; the dc SQUID as a case study. Physical Review E 74, 021122 (2006).
  1. V. In, A. Palacios, A. Bulsara, P. Longhini, A. Kho, Joseph Neff, Salvatore Baglio, and Bruno Ando . Complex behavior in driven unidirectionally coupled overdamped Duffing elements. Physical Review E 73, no. 6, 066121 (2006).
  1. P. Blomgren, S. Gasner, and A. Palacios. Noise-induced intermittent cellular patterns on circular domains.Physical Review E (Rapid. Comm) 74, 045202(R) (2006).
  1. V. In, A. Bulsara, A. Kho, A. Palacios, S. Baglio, B. Ando and V. Sacco. Reconfigurable pattern generators using nonlinear electronic circuits. Proceedings of the first Conference of Device Applications of Nonlinear Dynamics. Catania, Italy, 245-252 (2006).
  1. V. In, A. Kho, A. Bulsara, J. Neff, S. Baglio, V. Sacco, A. Palacios, and P. Longhini. Coupling nonlinear sensors for enhanced sensitivity: A prototype using the three coupled-core fluxgate magnetometer. Proceedings of the 4th IEEE Conference on Sensors. Irvine, CA, March (2006) 57-60
  1. A. Bulsara, J.F. Lindner, V. In, A. Kho, S. Baglio, V. Sacco, B. Ando, P. Longhini, A. Palacios, and W.J. Rappel. Coupling-Induced cooperative behavior in dynamic ferromagnetic cores in the presence of noise. Phsyics Letters A 353 (2006) 4-10.
  1. V. In, A. Bulsara, A. Palacios, P. Longhini, and A. Kho. Complex dynamics in unidirectionally coupled overdamped bistable systems subject to a time-periodic external signalt. Physical Review E 72, no. 4, Rapid Communications 045104 (2005).
  1. P. Blomgren, S. Gasner, and A. Palacios. Stable second-order scheme for integrating the Kuramoto-Sivashinky equation in polar coordinates. Physical Review E 72, no. 3, 036701 (2005).
  1. A. Palacios, R. Carretero-Gonzalez, P. Longhini, N. Renz, V. In, A. Kho, J. Neff, B. Meadows, and A. Bulsara. Multifrequency synthesis using two coupled nonlinear oscillator arrays. Physical Review E 72, 026211 (2005).
  1. P. Blomgren, S. Gasner, and A. Palacios. Hopping behavior in the kuramoto-sivashinsky equation. Chaos 15, 013706 (2005).
  1. V. In, A. Bulsara, A. Placios, S. Baglio, B. Ando, P. Longhini, J. Neff, B. Meadows, and A. Bulsara. Self-induced oscillations in coupled fluxgate magnetometers: a novel approach to operating the magnetic sensors. Proceedings of the 2004 International Symposium on Circuit and Systems, 4, (2004) 736-739.
  1. A. Bulsara, V. In, A. Kho, P. Longhini, A. Palacios, W-J. Rappel, J. Acebron, S. Baglio, and B. Ando. Emergent oscillations in unidirectionally coupled overdamped bistable systems. Phys. Rev. E 70, 036103-1-12 (2004).
  1. V. In, A. Bulsara, A. Kho, A. Palacios, P. Longhini, J. Acebron, S. Baglio, and B. Ando. Self-induced oscillations in electronically coupled fluxgate magnetometers. Proceedings of the 8th Experimental Chaos Conference, Florence, Italy (2004) 57-62.
  1. A. Palacios, C. Finney, P. Cizmas, S. Daw, T. O'Brien. Experimental analysis and visualization of spatio-temporal bubble patterns in fluidized beds. Chaos 14, no. 2, (2004).499-509.
  1. P.-L. Buono and A. Palacios. A mathematical model of motorneuron dynamics in the heartbeat of the leech. Physica D 188 (2004) 292-313.
  1. V. In, A. Kho, J. Neff, A. Palacios, P. Longhini, and B. Meadows. Experimental observation of multi-frequency patterns in arrays of coupled nonlinear oscillators. Physical Review Letters 91, no. 24, (2003) 244101-244101-4.
  1. V. In, A. Bulsara, A. Palacios, P. Longhini, A. Kho, and J. Neff. Coupling-induced oscillations in overdamped bistable systems. Physical Review E 68, Rapid Communication (2003) 045102-1.
  1. A. Palacios, P. Longhini. Cycling behavior in near-identical cell systems. International. Journal of Bifurcation and Chaos, 13, no. 9 (2003) 2719-2732.
  1. P. Cizmas, A. Palacios, T. O'Brien, M. Syamlal. Proper orthogonal decomposition of spatio-temporal patterns in fluidized beds. Chemical Engineering Science 58, no. 19, (2003) 4417-4427.
  1. P.-L. Buono and A. Palacios. Heart Motorneuron Dynamics of Leeches. Proceedings of the 7th Experimental Chaos Conference, vol. 676, Melville, NY, (2003) 257-262.
  1. P. Cizmas, A. Palacios. Proper orthogonal decomposition of turbine rotor-stator interaction. Journal of Propulsion and Power 19, no. 2, (2003) 268-281.
  1. A. Palacios, H. Juarez. Cryptography with cycling chaos. Physics Letters A, 303, (2002) 345-351.
  1. A. Palacios. Heteroclinic cycles in coupled systems of diference equations. Special issue of Journal of Difference Equations and Applications 9, no. 7, (2002) 671-686.
  1. A. Palacios. Cycling chaos in one-dimensional coupled iterated maps. International Journal of Bifurcation and Chaos 12, no. 8, (2002) 1859-1868.
  1. A. Palacios. Symmetry-breaking bifurcations in simulations of the Kuramoto-Sivashinky equation, (2000). Proceedings of the First Compaq-Sponsored Conference on Computational Science. San Diego, CA.
  1. A. Palacios. Identification of modulated rotating waves in pattern-forming systems with O(2) symmetry. Discrete and Continuous Dynamical Systems B 2, no. 1, (2002) 129-47.
  1. L. Buono, M. Golubitsky, A. Palacios. Heteroclinic cycles in rings of coupled cells. Physica D 143 (2000) 74-108.
  1. L. Buono, M. Golubitsky, A. Palacios. Heteroclinic cycles in systems with Dn symmetry. In Bifurcation Theory & Its Numerical Analysis. Z. Chen, S. Chow, and K. Li (Editors). (1999) 13-27.
  1. A. Palacios, G. Gunaratne, M. Gorman. Modal decomposition of hopping motion in cellular flame patterns, Chaos 9, (1999) 755-767. ( PDF / Postscript )
  1. D. Zhang, G. Wei, D. Kouri, D. Hoffmann, M. Gorman, G. Gunaratne, A. Palacios. Integrating the Kuramoto-Sivashinsky equation in a circular domain, Phys. Rev. E. 60, no. 3, (1999) 3353-3360.
  1. L. Buono, M. Golubitsky, A. Palacios. Heteroclinic cycles in mode interactions with Dn symmetry, (1998). Proceedings of the Second International Conference on Bifurcation Theory and its Numerical Analysis, Xi'an.
  1. A. Palacios, G. Gunaratne, M. Gorman, K. Robbins. A Karhunen-Loève analysis of spatiotemporal flame patterns, Physical Review E. 57, no. 5, (1998) 5958-5971.
  1. K. Robbins, A. Palacios, M. Gorman, K. Robbins. Visualization, animation and KL decomposition of spatiotemporal dynamics in a pattern-forming system, Proc. 4th Experimental Chaos Conference, (1997) 31-36.
  1. A. Palacios, G. Gunaratne, M. Gorman, K. Robbins. Cellular pattern formation in circular domains, Chaos 7, no. 3, (1997) 463-475.
  1. A. Palacios, L. Gross, A. Rockwood. Dynamics and chaos: the spherical pendulum, Comp. Graphics Forum 15, no. 4, (1996) 263-270.
  1. A. Palacios, D. Armbruster, E. Kostelich, E. Stone. Analyzing the dynamics of cellular flames, Physica D 60 (1996) 132-161.

 

STUDENTS


Postdocs
2012 - 2015 Bernard Chan
Coupled Networks of Hamiltonian Systems, Supported by ARO Grant.
2015 - 2016 Jocirei Dias Ferreira
Feedforward Networks, Supported by Research Grant from the Government of Brazil.
 


Ph.D. STUDENTS
  1. Patrick Longhini
    Computational Science and Engineering Program, May 2005
    Thesis: Emergent Oscillations in Coupled Fluxgate Magnetometer
    (Current Position: Research Scientist at the Space and Naval
    Warfare Center, San Diego).

  2. Scott Gasner
    Computational Science and Engineering Program, June 2006
    Co-chaired with Peter Blomgren
    Thesis: Noise-Induced Cellular Flame Patterns
    (Current Position: Research Associate, Financial Firm)


  3. Bing Zhu
    Computational Science and Engineering Program, May 2008
    Thesis: Dynamics of Gas-Fluid Bubbles
    (Current Position: Research Scientist at San Diego Supercomputer Center)

  4. John Aven
    Computational Science and Engineering Program, Fall 2009
    Thesis: Effects of Noise on Coupled Sensor Systems
    (Current Position: Postdoctoral Fellow at the Cielo Institute, NIH).


  5. Huy Vu
    Computational Science Program, March 2011
    Ring of Vibratory Gyroscopes with Coupling along the Drive Axis.

  6. Susan Berggren
    Computational Science and Engineering Program, Fall 2012
    Thesis: Computational and Mathematical Modeling of Coupled Superconducting Quantum Interference Devices.

  7. Daniel Lyons
    Computational Science and Engineering Program, Fall 2014
    Thesis: Dynamics and Bifurcations in Coupled Bistable Systems with Applications to Engineering Devices.

  8. James Turtle
    Computational Science and Engineering Program, Spring 2016
    Thesis: Coupled Spin-Torque Nano Oscillators
M.S. STUDENTS
  1. Patrick Longhini                     
    Applied Mathematics, Summer 2002
    Thesis: Coupled Cell Systems

  2. Kichol Lee                  
    Computational Science and Engineering Program, Spring 2003
    Thesis: Reduced Order Models for Fluidized Beds

  3. Scott Gasner              
    Computational Science and Engineering Program, Summer 2004
    Co-chaired with Peter Blomgren
    Thesis: A Novel Algorithm for High-Dimensional Simulations of Cellular Flames


  4. Norbert Renz                           
    Applied Mathematics, Summer 2004
    Thesis: Bifurcation Analysis of Multi-Frequency Rhythms


  5. John Aven
    Nonlinear Dynamics Program/Applied Mathematics, Fall 2006
    Thesis: Advanced Magnetic SQUID Sensors

  6. Mayra Hernandez
    Applied Mathematics, Summer 2008
    Thesis: Non-homogeneous Coupled Fluxgate Sensors

  7. Susan Guyler
    Applied Mathematics, May 2009
    Thesis: Stochastic Networks of SQUID Sensors

  8. Jeremy Banning
    Applied Mathematics, March 2011
    Dynamics of Rings of Almost-Identical Oscillators

  9. Nathan Davies
    Applied Mathematics, March 2011
    Ring of VIbratory Gyroscopes with Coupling Along the Drive and Sense Axes.

  10. Daniel Lyons
    Applied Mathematics, Fall 2011
    Thesis: Effects of Delay on Coupled Sensor Systems

  11. James Turtle
    Applied Mathematics, March 2012
    Numerical Exploration of the Dynamics of Coupled Spin-Torque Nano-oscillators

  12. Katie Beauvais
    Computational Science and Engineering, Fall 2013
    Series Arrays of Spin-Torque Nano-oscillators

  13. Richard Shaffer
    Applied Mathematics, Spring 2013
    Stability Analysis of Coupled Spin-Torque Nano-oscillators

  14. Tyler Levaseur
    Applied Mathematics, In-progress
    Arrays of Energy Harvesters

  15. Steven Reeves
    Applied Mathematics, In-progress
    Coupled Crystal Oscillators for Precision Timing

  16. Ericka Negrotti
    Applied Mathematics, In-progress
    Parallel Arrays of Spin Torque Nano-Oscillators

  17. Greg Behm
    Applied Mathematics, In-progress
    Effects of Noise on Coupled Crystal Oscillators for Precision Timing

  18. Loni Olander
    Applied Mathematics, In-progress
    2D Networks of Hopfield Neurodynamics

 


PRESENTATIONS
   
2015 International Symposium on Nonlinear Theory and its Applications (NOLTA2015), Hong Kong, CHINA
Complex Networks of Coupled Gyroscopes

University of California San Diego, Center for Computational Mathematics
Complex Networks. Connecting Equivariant Bifurcation Theory with Engineering Applications

Instituto Technologico de Estudios Superiores de Monterrey, Campus Puebla, MEXICO
Complex Networks of Crystal Oscillators for Precision Timing

MBI Workshop on Applied Dynamical Systems, Ohio State University
Complex Networks. Connecting Equivariant Bifurcation Theory with Engineering Applications
2014 Bharathidasan University, Trichy, INDIA
Symmetry in Complex Systems: Linking Applied Mathematics with Engineering Applications.
2013 Instituto Technologico de Estudios Superiores de Monterrey, Campus Puebla, MEXICO,
Energy Harvesting Systems.

Laurier Centennial Conference on Applied Mathematics, Modeling and Com- putational Science, Waterloo, CANADA,
Collective Behavior of a Network of Spin Torque Nano-Oscillators.

SIAM Annual Meeting, USA, Attributing Tropospheric Ozone Formation to Precursor Spurces.
2012 Instituto Technologico de Estudios Superiores de Monterrey, Campus Puebla, MEXICO,
Coupled Nonlinear Oscillators: Linking Dynamical Systems Theory with Engineering
Applications.

State University of New York, Buffalo, USA,
Coupled Nonlinear Oscillators: Linking Dynamical Systems Theory with Engineering Applications.

University of Toronto, Toronto, CANADA,
Coupled Nonlinear Oscillators: Linking Dynamical Systems Theory with Engineering Applications.

University of California, Santa Barbara, USA,
Coupled Nonlinear Oscillators: Linking Dynamical Systems Theory with Engineering Applications.

Harvard University, Cambridge, MA, USA,
Linking Applied Mathematics with Social Science Research.

9th AIMS International Conference on Dynamical Systems, Orlando, FL, USA,
Bifurcation and Asymptotic Analysis of a Coupled Gyroscope Systems.

CCS2012 Chaos Symposium on Chaos and Complexity, TURKEY,
Synchronization and Chaos in Coupled Gyroscope Systems.
2011 IUTAM Symposium on 50 Years of Chaos, Kyoto JAPAN,
Heteroclinic Cycles in Coupled Systems with Applications to Sensor Devices.

Superconductivity Centennial Conference, The Hague, THE NETHERLANDS,
Nonuniform Arrays of Superconductive Loops.

Laurier Centennial Conference on Applied Mathematics, Modeling and Computational
Science, Waterloo, CANADA,
Symmetry-based Design of Novel Sensor Systems.
2010 2nd International Conference on Applications in Nonlinear Dynamics, Lake Louis, CANADA, Nonuniform Arrays of Superconducting Quantum Loops.
2009 Applied Math Seminar, University of Ontario Institute of Technology, Ontario, CANADA,
Symmetry in Complex Systems.

International Symposium on Nonlinear Theory and its Applications, Sapporo, JAPAN,
Bistable Micro-Circuit for the Combined Electric Field and Magnetic Field Sensor.
2008 SIAM Annual Meeting, San Diego, CA, USA,
A Dynamical Systems Approach to Design and Operate Dynamic Sensors.
2007 International Congress on Industrial And Applied Mathematics, Zurich, SWITZERLAND,
Coupled Cell Systems: A Paradigm for Designing Advanced Magnetic Sensors.

SIAM Conference on Applications of Dynamical Systems, Utah, USA,
Coupled Cell Systems: A Paradigm for Designing Advanced Magnetic Sensors.

1st International Conference on Applications in Nonlinear Dynamics, Hawaii, USA,
Applications of Nonlinear and Reconfigurable Electronic Circuits.
2006 VI PanAmerican Workshop on Applied and Computational Mathematics, Oaxaca,
MEXICO, Recent Advances in 2 Dimensional Simulations of the Pattern-
Forming Kuramoto-Sivashinsky Equation.
2005 SIAM Annual Meeting, San Diego, CA, USA, Pattern Formation and Hopping
Behavior in the Kuramoto-Sivashinsky Equation.
2004 8th Experimental Chaos Conference, Florence, ITALY,
Self-induced Oscillations in Electronically Coupled Fluxgate Magnetometers.
2003 7th Experimental Chaos Conference, San Diego, CA, USA,
Motorneuron dynamics in the heartbeat of leeches.

SIAM Conference on Computational Science and Engineering, San Diego, California, USA,
Description of fluidized beds using proper orthogonal decomposition.
2002 SIAM Conference on Numerical Combustion, Sorrento, ITALY,
Modulated Rotating Wave Patterns in Combustion Experiments with Circular Symmetry.
2001 PIMS-MITACS Workshop on Computational Fuel Cell Dynamics, Vancouver, CANADA,
Symmetry-breaking bifurcations in cellular flame patterns.

Applied Mathematics Workshop, University of California at Irvine, USA,
Heteroclinic cycles in coupled cell systems.
2000 SIAM Conference on Numerical Combustion, Amelia Island, Florida, USA,
Analysis and visualization of symmetry-breaking bifurcations in cellular flame patterns.
1999 SIAM Conference on Applications of Dynamical Systems, Utah, USA,
Modal decomposition of hopping motion in cellular flame patterns.
 


PROFESSIONAL ACTIVITIES
 
2012 Cluster Chair for Committee of Visitors (COV) to review NSF / Division of Civil, Mechanical and Manufacturing Innovation (CMMI).
Proposal Reviewer for NSF, CAREER NSF, NIH, DOE, CRDF.
Associate Editor, International Journal of Modern Nonlinear Theory and Application.

Invited Guest Editor, Symmetry. An Open Access Journal.
Chair of Applied Mathematics Hiring Committee, San Diego State University.

Reappointment, Tenure, and Promotion Committee, San Diego State University.

Graduate Advisor, Program in Dynamical Systems, San Diego State University.

Executive Committee, Computational Science and Engineering Program, San Diego State University.

Graduate Development Committee, Mathematics Department, San Diego State University.
Co-organizer of 3rd International Conference on Applications in Nonlinear Dy- namics, Seattle, WA, 2012.

Co-organizer of 2nd International Conference on Applications in Nonlinear Dynamics, Lake Louis, CANADA, 2011.

Co-organizer of 1st International Conference on Applications in Nonlinear Dy- namics, Kauai, Hawaii, 2007.
Referee:
Bulletin of Mathematical Biology, Biophysics, Chaos, Combustion Theory and Modeling, Communications in Mathematical Sciences, Discrete and Continuous Dynamical Systems, Series B, IEEE Transactions on Sensors, Journal of Differential Equations, Journal of Physics A, Mathematics and Computers in Simulation, Non- linearity, Nonlinear Analysis Series B, Physica D, Physical Review E, Physics Letters A, Scholarpedia, SIAM Journal on Applied Dynamical Systems, Studies in Nonlinear Dynamics and Econometrics.