

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, 2008Present 
Associate Professor 
Department of Mathematics,
San Diego State University, 20042008 
Assistant Professor 
Department of Mathematics,
San Diego State University, 19992004 
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, HewlettPackard Co., 05/95  05/96 
Grants
Agency 
Date 
Project
Title 
Amount 
DoD  SPAWAR Command
N6600108D0154 
7/12  12/12 
Modeling and Simulation of SQIF Devices
IV 
$70,000 
ARO W911NF07R0034 
6/12  12/15 
Exploiting Symmetry to Study Coherent
SelfSustaining 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 N000141210464 
6/12  12/12 
3rd International Conference on Theory
and Applications in Nonlinear Dynamics
August 2012, Seattle, Washington 
$25,000 
STTR/ONR QUASARSDSU 
9/1  3/30/12 
Compact Broadband Geolocation Systems 
$80,000 
DoD  SPAWAR Command N6600108D0154 
7/11  7/12 
Modeling and Simulation of SQIF Devices
III 
$98,966 
NSF CMMI1068831 
9/11  8/14 
DynSyst Special Topics: Spin Torque NanoOscillators
for Microwave Signal Generation 
$250,731 
DoD  SPAWAR Command
N6600108D0154 
4/10
 1/11 
Modeling and Simulation
of SQIF Devices II 
$99,154 
NSF DMS0923278 
7/09  8/10 
Acquisition of a Computational Mathematics
Cluster 
$91,065 
ONR N000141010087 
8/09
 9/10 
2nd International Conference
on Applications in Nonlinear Dynamics
September 2010, Lake Louise, CANADA 
$30,000 
DoD  SPAWAR Command
N6600108D0154 
6/09
 05/10 
Bifurcation Analysis
of Coupled Gyroscopes 
$64,962 
NSF CMMI0923803 
8/09
 7/12 
Coupled Inertial
Navigation System 
$250,000 
DoD  SPAWAR Command
N6600108D0154 
6/09
 12/09 
Modeling and Simulation
of SQIF Devices 
$93,683 
DoD  SPAWAR Command N6600103D0042 
6/08  12/08 
Theoretical Analysis of Coupled Gyroscope
Sensors 
$49,889 
DoD Office of Naval Research
 N000140710605 
4/07  5/08 
1st International Conference on Applications
of Nonlinear Dynamics
October 2007, Kauai, Hawaii 
$25,000 
NSF CMS0625427 
8/06  8/08 
Intelligent Magnetic Sensor Networks
for Surveillance and Detection of Improvised Explosive Devices 
$247,621 
NSF CMS0638814 
8/06  8/09 
A Dynamical Systems Paradigm to Design
and Operate Intelligent Magnetic Sensor Networks 
$239,875 
DoD  SPAWAR Command N6600106M1008 
1/05  8/05 
Advanced Dynamical Magnetic sensors for
Defense Applications 
$35,000 
NSF DMS0504150 
08/0507/08 
A Dynamical Systems Approach to Study
Cellular Flame Instability 
$225,000 
SDSU/GrantinAid 
1/17/05  7/17/06 
Advanced Dynamic Magnetic Sensors 
$2,100 
The San Diego Foundation C200300307 
07/0308/04 
Frequency switching in communications
for homeland security. PI: A. Palacios 
$60,000 
DOE DEPS2600FT40759 
9/008/03 
Reduced order models of heat transfer
in fluidized beds 
$323,279 
Control Dynamics, Inc. 
05/0305/04 
Multifrequency synthesis by symmetrybased
methods. PI: A. Palacios 
$40,000 
SPAWAR 
05/0205/03 
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/GrantinAid 
12/99 
Analysis of networks of coupled neurons 
$2,400 
Patents

U.S. Patent # 7196590,
2007. MultiFrequency Synthesis Using Symmetry Methods
in Arrays of Coupled Nonlinear Oscillators.

 U.S. Patent # 7420366, 2008. Coupled Nonlinear Sensor
System.

 U.S. Patent # 7528606, 2009. Coupled Nonlinear Sensor System for Sensing a TimeDependent
Target Signal and Method of Assembling the System.

 U.S. Patent # 7898250, 2011. Coupled Fluxgate Magnetometers
for DC and TimeDependent (AC) Target Magnetic Field Detection.

 U.S. Patent # 8049486, 2011. Coupled Electric Field Sensors
for DC Target Electric Field Detection.

 U.S. Patent # 8049570, 2012. Coupled Bistable Microcircuit
for UltraSensitive Electric and Magnetic Field Sensing.

 U.S. Patent # 8212569, 2012. Coupled
Bistable Ccircuit for UltraSensitive Electric Field
Sensing Utilizing Differential Transistors Pairs.

 Under Review by US Patent Office,
Enhanced Performance in Coupled Gyroscopes
and Elimination of Biasing Signal in a Drivefree Gyroscope.
Submitted 2012, Navy Case 101427.

 Under Review by US Patent Office,
Linear Voltage Response of NonUniform Arrays of BiSQUIDS Submitted
2012, Navy Case 101302.

 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.

 Under Review by US Patent Office, Sensor Signal Processing
Using Cascade Coupled Oscillators. Submitted 2012, Navy Case
102215.

 Under Review by US Patent Office,
2D Arrays of Diamond Shaped Cells Having Multiple Josephson Junctions.
Submitted 2013, Navy Case 102297.

Books
 V. In, P. Longhini, and A. Palacios. Proceedings
from the International Conference in Applications in
Nonlinear Dynamics. AIP 2011.

 V. In, P. Longhini, and A. Palacios. Applications
of Nonlinear Dynamics. SpringerVerlag 2009.

 V. In and A. Palacios. Symmetry in
Complex Systems: A Unifying Approach to Developing Novel
Sensor Devices. Under contract with SpringerVerlag.

Publications


 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).

 K. Beauvais, A. Palacios, R. Shaffer,
J. Turtle, V. In and P. Longhini. Coherence in arrays
of spintorque nano oscillators. Nanotech 2014 Conference Proceedings.
In Print (2014).

 K. Beauvais, A. Palacios, R. Shaffer,
J. Turtle, V. In and P. Longhini. Coupled spintorque
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).

 S. Naik, A. Phipps , V. In, P. Cavaroc,
A. MatusVargas, A. Palacios, H.G. GonzalezHernadez. Energy harvesting with coupled magnetostrictive resonators. SPIE
Proceedings. Active and Passive Smart Structures and Integrated
Systems, 9057 (2014).

 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).

 A. MatusVargas, H.G. GonzalezHernadez,
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 AlltoAll Coupling. International Journal
of Bifurcation and Chaos. Submitted (2014).

 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).

 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).

 J. Turtle, A. Palacios, V.
In, and P. Longhini. International Conference on Theory
and Application in Nonlinear Dynamics. 285291, Springer (2013).

 J. Turtle, K. Beauvais, R. Shaffer, A.
Palacios, T. Emery, V. In and P. Longhini. Gluing bifurcations
in coupled spin torque nanooscillators. Journal of Applied
Physics, 113, no. 11, 11490111490110 (2013).

 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 bisquid arrays. IEEE Transactions on Applied
Superconductivity, 23, no. 3, 1400208 (2013).

 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
bisquid arrays with high
linearity. IEEE Transactions on Applied Superconductivity, (2013)
In Print.

 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).

 P.
Longhini, S. Berggren, A.
Palacios, V. In and A.L. de Escobar. Coupled
NonUniform biSQUID: A Numerical Investigation. AIP Conference
Proceedings, Advances on Cryogenic Engineering: Transactions
of the Cryogenic Conference (CEC/ICMC) 1434,
11671174 (2012).

 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, 144150 (2012).

 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).

 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.

 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, 119131 (2012).

 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 biSQUIDs. Journal of
Applied Physics, 111 093920 (2012).

 A.
Palacios, H. Vu, V. In, and P. Longhini. Symmetrybased
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, 97100, Waterloo,
Canada (2011).

 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, 361369 (2011).

 P. Longhini, S. Berggren,
A. Palacios, V. In, A.L. de Escobar. Modeling
NonLocally Coupled DC SQUID Arrays. IEEE Transactions
on Applied Superconductivity 21, no. 3, 391393
(2011).

 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. 254259.
Lake Louis, CANADA, April 2011.

 S.
Naik, T. Hikihara, H. Vu, A. Palacios, V. In, P. Longhini. Local
Bifurcations of Synchronization in Selfexcited and Forced
Unidirectionally Coupled Micromechanical Resonators. Journal
of Sound and Vibration 331, no. 5, 11271142 (2011).

 H.
Vu, A. Palacios, V. In, P. Longhini, J. Neff. A
drivefree vibratory gyroscope. Chaos 21,
013103 (2011).

 P.
Blomgren, J.M. Martinez, and A. Palacios. Intermittency
near a codimension three steadystate bifurcation. International
Journal of Bifurcation and Chaos 21, no. 1, 287304 (2011).

 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, 667695 (2011).

 V.
In, P. Longhini, A. Kho, N. Liu, S. Naik, A. Palacios, and
J. Neff . Frequency downconversion
using cascading arrays of coupled nonlinear oscillators.
Physica D 240, 701708 (2011).

 L.
Demasi and A. Palacios. A
Reducedorder 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 20102722
(2010).

 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, 27092722
(2010).

 H.
Vu, A. Palacios, V. In, P. Longhini, J.
Neff. Twotime scale analysis of
a ring of coupled vibratory gyroscopes. Physical
Review E 81, 031108 (2010).

 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).

 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,
109118 (2009).

 P.
Blomgren, A. Palacios, and S. Gasner. Recent
Advances in 2+1 Dimensional Simulations of the
PatternForming KuramotoSivashinsky Equation. Mathematics and Computers in Simulations
79, no. 6, 18101823 (2009)

 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) 3745.

 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) 119132.

 M.
Hernandez, V. In, P. Longhini, A.
Palacios, A.
Bulsara, and A. Kho . Couplinginduced
Oscillations in Nonhomogeneous, Overdamped, Bistable Systems.
Physics Letters A, 372, no. 24, 43814387
(2008).

 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).

 P.
Longhini, A. Palacios, V.
In, J.
Neff, A.
Kho, and A. Bulsara. Exploiting
dynamical symmetry in coupled nonlinear elements for
efficient frequency downconversion
Physical Review E 76, 026201 (2007).

 A.
Palacios, P.
Blomgren, and S.
Gasner. Bifurcation
analysis of hopping behavior in cellular patternforming
systems. International Journal of Bifurcation
and Chaos 17, no. 2, 509520 (2007).

 A.
Palacios, J.
Aven,V. In, P.
Longhini, A.
Kho, J. Neff,
and A. Bulsara. Coupledcore
fluxgate magnetometer: Novel configuration scheme and
the effects of a noisecontaminated external signal. Physics
Letters A 367, 2534 (2007)

 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).

 S.
Gasner, P.
Blomgren, and A. Palacios. Noiseinduced
intermittency in cellular patternforming systems. International
Journal of Bifurcation and Chaos 17, no. 8, 115 (2007).

 A.
Palacios. Heteroclinic
cycles. Scholarpedia, 8163 (2007).

 V.
In, A. Bulsara, A. Kho, A. Palacios, S.
Baglio, B. Ando and V. Sacco. Exploiting
dynamic cooperative behavior in a coupledcore fluxgate magnetometer. Proceedings
of the first Conference of Device Applications of Nonlinear Dynamics.
Catania, Italy, 6782 (2006).

 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).

 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).

 P.
Blomgren, S.
Gasner, and
A. Palacios. Noiseinduced
intermittent cellular patterns on circular domains.Physical
Review E (Rapid. Comm) 74,
045202(R) (2006).

 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, 245252 (2006).

 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 coupledcore fluxgate magnetometer.
Proceedings of the 4th IEEE Conference on Sensors. Irvine,
CA, March (2006) 5760

 A.
Bulsara, J.F. Lindner, V.
In, A. Kho, S. Baglio, V. Sacco, B. Ando, P. Longhini,
A. Palacios, and W.J. Rappel. CouplingInduced
cooperative behavior in dynamic ferromagnetic cores in
the presence of noise. Phsyics Letters A 353 (2006) 410.

 V.
In, A. Bulsara, A. Palacios, P.
Longhini, and A.
Kho. Complex
dynamics in unidirectionally coupled overdamped bistable
systems subject to a timeperiodic external signalt.
Physical Review E 72, no. 4, Rapid Communications
045104 (2005).

 P.
Blomgren, S. Gasner, and A. Palacios. Stable
secondorder scheme for integrating the KuramotoSivashinky
equation in polar coordinates. Physical Review E 72,
no. 3, 036701 (2005).

 A. Palacios, R. CarreteroGonzalez,
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).

 P.
Blomgren, S. Gasner, and A. Palacios. Hopping
behavior in the kuramotosivashinsky equation. Chaos 15,
013706 (2005).

 V. In, A. Bulsara, A. Placios,
S. Baglio, B. Ando, P. Longhini, J. Neff, B. Meadows, and
A. Bulsara. Selfinduced 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)
736739.

 A. Bulsara, V.
In, A. Kho, P. Longhini, A. Palacios, WJ. Rappel, J. Acebron,
S. Baglio, and B. Ando. Emergent
oscillations in unidirectionally coupled overdamped bistable
systems. Phys. Rev. E 70, 036103112
(2004).

 V. In, A. Bulsara,
A. Kho, A. Palacios, P. Longhini, J. Acebron, S. Baglio,
and B. Ando. Selfinduced
oscillations in electronically coupled fluxgate magnetometers.
Proceedings of the 8th Experimental Chaos Conference, Florence,
Italy (2004) 5762.

 A. Palacios, C. Finney, P.
Cizmas, S. Daw, T. O'Brien. Experimental
analysis and visualization of spatiotemporal bubble patterns
in fluidized beds. Chaos 14, no. 2, (2004).499509.

 P.L. Buono and A. Palacios. A
mathematical model of motorneuron dynamics in the heartbeat
of the leech. Physica D 188 (2004) 292313.

 V. In, A. Kho, J. Neff, A.
Palacios, P. Longhini, and B. Meadows. Experimental
observation of multifrequency patterns in arrays of coupled
nonlinear oscillators. Physical Review Letters 91,
no. 24, (2003) 2441012441014.

 V. In, A. Bulsara, A. Palacios,
P. Longhini, A. Kho, and J. Neff. Couplinginduced
oscillations in overdamped bistable systems. Physical Review
E 68, Rapid Communication (2003) 0451021.

 A. Palacios, P. Longhini. Cycling
behavior in nearidentical cell systems. International. Journal
of Bifurcation and Chaos, 13, no. 9 (2003)
27192732.

 P. Cizmas, A. Palacios, T.
O'Brien, M. Syamlal. Proper orthogonal
decomposition of spatiotemporal patterns in fluidized
beds. Chemical Engineering Science 58,
no. 19, (2003) 44174427.

 P.L. Buono and A. Palacios. Heart
Motorneuron Dynamics of Leeches. Proceedings of the 7th Experimental
Chaos Conference, vol. 676, Melville, NY,
(2003) 257262.

 P. Cizmas, A. Palacios. Proper
orthogonal decomposition of turbine rotorstator interaction.
Journal of Propulsion and Power 19, no. 2,
(2003) 268281.

 A. Palacios, H. Juarez. Cryptography
with cycling chaos. Physics Letters A, 303,
(2002) 345351.

 A. Palacios. Heteroclinic
cycles in coupled systems of diference equations. Special issue
of Journal of Difference Equations and Applications 9,
no. 7, (2002) 671686.

 A. Palacios. Cycling
chaos in onedimensional coupled iterated maps. International
Journal of Bifurcation and Chaos 12, no. 8,
(2002) 18591868.

 A. Palacios. Symmetrybreaking
bifurcations in simulations of the KuramotoSivashinky equation,
(2000). Proceedings of the First CompaqSponsored Conference
on Computational Science. San Diego, CA.

 A. Palacios. Identification
of modulated rotating waves in patternforming systems with
O(2) symmetry. Discrete and Continuous Dynamical Systems B
2, no. 1, (2002) 12947.

 L. Buono, M. Golubitsky, A.
Palacios. Heteroclinic cycles in rings
of coupled cells. Physica D 143 (2000)
74108.

 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)
1327.

 A. Palacios, G. Gunaratne,
M. Gorman. Modal decomposition of hopping
motion in cellular flame patterns, Chaos 9,
(1999) 755767. ( PDF / Postscript )

 D. Zhang, G. Wei, D. Kouri,
D. Hoffmann, M. Gorman, G. Gunaratne, A. Palacios. Integrating
the KuramotoSivashinsky equation in a circular domain,
Phys. Rev. E. 60, no. 3, (1999) 33533360.

 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.

 A. Palacios, G. Gunaratne,
M. Gorman, K. Robbins. A KarhunenLoève
analysis of spatiotemporal flame patterns, Physical Review
E. 57, no. 5, (1998) 59585971.

 K. Robbins, A. Palacios, M.
Gorman, K. Robbins. Visualization, animation
and KL decomposition of spatiotemporal dynamics in a patternforming
system, Proc. 4th Experimental Chaos Conference, (1997)
3136.

 A. Palacios, G. Gunaratne,
M. Gorman, K. Robbins. Cellular pattern
formation in circular domains, Chaos 7,
no. 3, (1997) 463475.

 A. Palacios, L. Gross, A. Rockwood. Dynamics
and chaos: the spherical pendulum, Comp. Graphics Forum 15,
no. 4, (1996) 263270.

 A. Palacios, D. Armbruster,
E. Kostelich, E. Stone. Analyzing the dynamics
of cellular flames, Physica D 60 (1996)
132161.

Students
Ph.D. Students 
 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).
 Scott Gasner
Computational Science and Engineering Program, June 2006
Cochaired with Peter Blomgren
Thesis: NoiseInduced Cellular Flame Patterns
(Current Position: Research Associate, Financial Firm)
 Bing Zhu
Computational Science and Engineering Program, May 2008
Thesis: Dynamics of GasFluid Bubbles
(Current Position: Research Scientist at San Diego Supercomputer
Center)
 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).
 Huy
Vu
Computational Science Program, March 2011
Ring of Vibratory Gyroscopes with Coupling along the Drive
Axis.
 James Turtle
Computational Science and Engineering Program, Fall 2011  Present
Thesis: Coupled SpinTorque Nano Oscillators
 Susan Guyler
Computational Science and Engineering Program, Fall 2009  Present
Thesis: SQIF Devices
 Daniel Lyons
Computational Science and Engineering Program, Fall 2010  Present
Thesis: Geolocation
Systems


M.S. Students 
 Patrick Longhini
Applied Mathematics, Summer 2002
Thesis: Coupled Cell Systems
 Kichol Lee
Computational Science and Engineering Program, Spring 2003
Thesis: Reduced Order Models for Fluidized Beds
 Scott Gasner
Computational Science and Engineering Program, Summer 2004
Cochaired with Peter Blomgren
Thesis: A Novel Algorithm for HighDimensional Simulations of Cellular Flames
 Norbert Renz
Applied Mathematics, Summer 2004
Thesis: Bifurcation Analysis of MultiFrequency Rhythms
 John Aven
Nonlinear Dynamics Program/Applied Mathematics, Fall 2006
Thesis: Advanced Magnetic SQUID Sensors
 Mayra Hernandez
Applied Mathematics, Summer 2008
Thesis: Nonhomogeneous Coupled Fluxgate Sensors
 Susan
Guyler
Applied Mathematics, May 2009
Thesis: Stochastic Networks of SQUID Sensors
 Jeremy Banning
Applied Mathematics, March 2011
Dynamics of Rings of AlmostIdentical Oscillators
 Nathan Davies
Applied Mathematics, March 2011
Ring of VIbratory Gyroscopes with Coupling Along the Drive and
Sense Axes.
 James Turtle
Applied Mathematics, March 2012
Numerical Exploration of the Dynamics of Coupled SpinTorque Nanooscillators
 Katie Beauvais
Computational Science and Engineering, Inprogress
Coupled SpinTorque Nanooscillators
 Richard Shaffer
Computational Science and Engineering, Inprogress
Coupled SpinTorque Nanooscillators

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,
Symmetrybased 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 MicroCircuit 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 KuramotoSivashinsky Equation. 
2005 
SIAM Annual Meeting, San Diego, CA, USA, Pattern Formation
and Hopping
Behavior in the KuramotoSivashinsky Equation. 
2004 
8th Experimental Chaos Conference, Florence, ITALY,
Selfinduced 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 
PIMSMITACS Workshop on Computational
Fuel Cell Dynamics, Vancouver, CANADA,
Symmetrybreaking 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 symmetrybreaking bifurcations in cellular
flame patterns. 
1999 
SIAM Conference on Applications of Dynamical Systems,
Utah, USA,
Modal decomposition of hopping motion in cellular flame patterns. 

