VITAE

EDUCATION

EMPLOYMENT

GRANTS

PUBLICATIONS

STUDENTS

 

Education

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
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
Research Scientist Computer Graphics Laboratory, Hewlett-Packard Co., 05/95 - 05/96



Grants

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

Milk Splash


Patents

  1. U.S. Patent # 7196590, 2007. Multi-Frequency Synthesis Using Symmetry Methods in Arrays of Coupled Nonlinear Oscillators.
  1. U.S. Patent # 7420366, 2008. Coupled Nonlinear Sensor System.
  1. U.S. Patent # 7528606, 2009. Coupled Nonlinear Sensor System for Sensing a Time-Dependent Target Signal and Method of Assembling the System.
  1. U.S. Patent # 7898250, 2011. Coupled Fluxgate Magnetometers for DC and Time-Dependent (AC) Target Magnetic Field Detection.
  1. U.S. Patent # 8049486, 2011. Coupled Electric Field Sensors for DC Target Electric Field Detection.
  1. U.S. Patent # 8049570, 2012. Coupled Bistable Microcircuit for Ultra-Sensitive Electric and Magnetic Field Sensing.
  1. U.S. Patent # 8212569, 2012. Coupled Bistable Ccircuit for Ultra-Sensitive Electric Field Sensing Utilizing Differential Transistors Pairs.
  1. Under Review by US Patent Office, Enhanced Performance in Coupled Gyroscopes
    and Elimination of Biasing Signal in a Drive-free Gyroscope. Submitted 2012, Navy Case 101427.
  1. Under Review by US Patent Office, Linear Voltage Response of Non-Uniform Arrays of Bi-SQUIDS Submitted 2012, Navy Case 101302.
  1. Under Review by US Patent Office, Arrays of Superconducting Quantum Interfer- ence Devices with Self Adjusting Transfer to Convert Electromagnetic Radiation into a Proportionate Electrical Signal to Avoid Saturation. Submitted 2012, Navy Case 101950.
  1. Under Review by US Patent Office, Sensor Signal Processing Using Cascade Coupled Oscillators. Submitted 2012, Navy Case 102215.
  1. Under Review by US Patent Office, 2D Arrays of Diamond Shaped Cells Having Multiple Josephson Junctions. Submitted 2013, Navy Case 102297.


Books
  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. P.L. Buono, B. Chan and A. Palacios. A network of symmetrically coupled gyroscopes. Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology and Society. I. Kotsireas and R. Melnik and B. West Eds. In Print (2014).
  1. K. Beauvais, A. Palacios, R. Shaffer, J. Turtle, V. In and P. Longhini. Coherence in arrays of spin-torque nano oscillators. Nanotech 2014 Conference Proceedings. In Print (2014).
  1. K. Beauvais, A. Palacios, R. Shaffer, J. Turtle, V. In and P. Longhini. Coupled spin-torque nano oscillators: stability of synchronization. Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology and Society. I. Kotsireas and R. Melnik and B. West Eds. In Print (2014).
  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. A. Matus-Vargas, H.G. Gonzalez-Hernadez, B. Chan, A. Palacios, 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. Submitted (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. In Print (2014).
  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. Submitted to Physica D (2014).
  1. J. Turtle, A. Palacios, V. In, and P. Longhini. 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, (2013) In Print.
  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


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. James Turtle
    Computational Science and Engineering Program, Fall 2011 - Present
    Thesis: Coupled Spin-Torque Nano Oscillators

  7. Susan Guyler
    Computational Science and Engineering Program, Fall 2009 - Present
    Thesis: SQIF Devices

  8. Daniel Lyons
    Computational Science and Engineering Program, Fall 2010 - Present
    Thesis: Geolocation Systems
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. James Turtle
    Applied Mathematics, March 2012
    Numerical Exploration of the Dynamics of Coupled Spin-Torque Nano-oscillators

  11. Katie Beauvais
    Computational Science and Engineering, In-progress
    Coupled Spin-Torque Nano-oscillators

  12. Richard Shaffer
    Computational Science and Engineering, In-progress
    Coupled Spin-Torque Nano-oscillators

 


Presentations
   
   
2013  
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.