dynamics

Krishnan, Bar, Imbihl, and Kevrekidis. (2000) 2000. “Pulse Dynamics and Interaction on Anisotropic Surfaces: A Computer-Assisted Study”. Chemical Engineering ScienceChemical Engineering Science 55 (2): 257-66.

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Kevrekidis. 2005. Equation-Free Modeling for Complex Systems. Washington: Natl Academies Press.

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PAVLOU, and Kevrekidis. (1992) 1992. “MICROBIAL PREDATION IN A PERIODICALLY OPERATED CHEMOSTAT - A GLOBAL STUDY OF THE INTERACTION BETWEEN NATURAL AND EXTERNALLY IMPOSED FREQUENCIES”. Mathematical BiosciencesMathematical Biosciences 108 (1): 1-55.

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TAYLOR, MA, PAVLOU, and Kevrekidis. (1994) 1994. “MICROBIAL PREDATION IN COUPLED CHEMOSTATS - A GLOBAL STUDY OF 2 COUPLED NONLINEAR OSCILLATORS”. Mathematical BiosciencesMathematical Biosciences 122 (1): 25-66.

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Kevrekidis, RICOMARTINEZ, RE ECKE, RM FARBER, and AS LAPEDES. (1994) 1994. “GLOBAL BIFURCATIONS IN RAYLEIGH-BENARD CONVECTION - EXPERIMENTS, EMPIRICAL MAPS AND NUMERICAL BIFURCATION-ANALYSIS”. Physica DPhysica D 71 (3): 342-62.

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DEBOER, RJ, AS PERELSON, and Kevrekidis. 1993. “IMMUNE NETWORK BEHAVIOR .1. FROM STATIONARY STATES TO LIMIT-CYCLE OSCILLATIONS”. Bulletin of Mathematical BiologyBulletin of Mathematical Biology 55 (4): 745-80.

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DANKWORTH, DC, Sundaresan, and Kevrekidis. (1992) 1992. “INFINITE-WAVELENGTH ANALYSIS FOR 2-PHASE FLOW - A 3-PARAMETER COMPUTER-ASSISTED STUDY OF GLOBAL BIFURCATIONS”. Physica DPhysica D 55 (1-2): 197-220.

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Kevrekidis, Kevrekidis, and Malomed. (2002) 2002. “Stability of Solitary Waves in Finite Ablowitz-Ladik Lattices”. Journal of Physics a-Mathematical and GeneralJournal of Physics a-Mathematical and General 35 (2): 267-83.

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Bangia, Batcho, Kevrekidis, and Karniadakis. (1997) 1997. “Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies With Global Eigenfunction Expansions”. Siam Journal on Scientific ComputingSiam Journal on Scientific Computing 18 (3): 775-805.

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Or-Guil, Krishnan, Kevrekidis, and Bar. (2001) 2001. “Pulse Bifurcations and Instabilities in an Excitable Medium: Computations in Finite Ring Domains”. Physical Review EPhysical Review E 64 (4): 046212.

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Gonzalez-Garcia, Rico-Martinez, Wolf, Lubke, Eiswirth, Anderson, and Kevrekidis. (2001) 2001. “Characterization of a Two-Parameter Mixed-Mode Electrochemical Behavior Regime Using Neural Networks”. Physica DPhysica D 151 (1): 27-43.

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DEANE, AE, Kevrekidis, Karniadakis, and SA ORSZAG. (1991) 1991. “LOW-DIMENSIONAL MODELS FOR COMPLEX-GEOMETRY FLOWS - APPLICATION TO GROOVED CHANNELS AND CIRCULAR-CYLINDERS”. Physics of Fluids a-Fluid DynamicsPhysics of Fluids a-Fluid Dynamics 3 (10): 2337-54.

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Bangia, Bar, Kevrekidis, Graham, HH ROTERMUND, and ERTL. (1996) 1996. “Catalysis on Microcomposite Surfaces”. Chemical Engineering ScienceChemical Engineering Science 51 (10): 1757-65.

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Hartmann, Bar, Kevrekidis, KRISCHER, and Imbihl. (1996) 1996. “Rotating Chemical Waves in Small Circular Domains”. Physical Review LettersPhysical Review Letters 76 (8): 1384-87.

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Calderon, Tsekouras, Provata, Kevrekidis, Gorban, Kazantzis, Kevrekidis, Ottinger, and Theodoropoulos. 2006. Coarse-Graining the Cyclic Lotka-Volterra Model: SSA and Local Maximum Likelihood Estimation. Berlin: Springer-Verlag Berlin.

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TAYLOR, MA, and Kevrekidis. (1993) 1993. “COUPLE, DOUBLE, TOIL AND TROUBLE - A COMPUTER-ASSISTED STUDY OF 2 COUPLED CSTRS”. Chemical Engineering ScienceChemical Engineering Science 48 (11): 2129-49.

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Pollmann, HH ROTERMUND, ERTL, Li, and Kevrekidis. (2001) 2001. “Formation of Two-Dimensional Concentration Pulses on Microdesigned Composite Catalyst Surfaces”. Physical Review LettersPhysical Review Letters 86 (26): 6038-41.

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KRISCHER, RICOMARTINEZ, Kevrekidis, HH ROTERMUND, ERTL, and JL HUDSON. (1993) 1993. “MODEL IDENTIFICATION OF A SPATIOTEMPORALLY VARYING CATALYTIC REACTION”. Aiche JournalAiche Journal 39 (1): 89-98.

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DEBOER, RJ, AS PERELSON, and Kevrekidis. 1993. “IMMUNE NETWORK BEHAVIOR .2. FROM OSCILLATIONS TO CHAOS AND STATIONARY STATES”. Bulletin of Mathematical BiologyBulletin of Mathematical Biology 55 (4): 781-816.

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Papavasiliou, Anastasia, and Ioannis Kevrekidis. 2007. “Variance Reduction for the Equation-Free Simulation of Multiscale Stochastic Systems”. Multiscale Modeling & Simulation 6 (1): 70-89.

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Wasylenko, Thomas, Jaime Cisternas, Carlo Laing, and Ioannis Kevrekidis. (2010) 2010. “Bifurcations of Lurching Waves in a Thalamic Neuronal Network”. Biological Cybernetics 103 (6): 447-62.

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Samaey, Giovanni, Wim Vanroose, Dirk Roose, and Ioannis Kevrekidis. 2008. “Newton-Krylov Solvers for the Equation-Free Computation of Coarse Traveling Waves”. Computer Methods in Applied Mechanics and Engineering 197 (43-44): 3480-91.

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Armaou, Kevrekidis, and Theodoropoulos. (2005) 2005. “Equation-Free Gaptooth-Based Controller Design for Distributed Complex Multiscale Processes”. Computers & Chemical Engineering 29 (4): 731-40.

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Artstein, Zvi, Ioannis Kevrekidis, Marshall Slemrod, and Edriss Titi. (2007) 2007. “Slow Observables of Singularly Perturbed Differential Equations”. Nonlinearity 20 (11): 2463-81.

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Gear, C. W., and I. G. Kevrekidis. (2004) 2004. “Computing in the past With Forward Integration”. Physics Letters A 321 (5-6): 335-43.

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Cisternas, J., P. Holmes, I. G. Kevrekidis, and X. J. Li. (2003) 2003. “CO Oxidation on Thin Pt Crystals: Temperature Slaving and the Derivation of Lumped Models”. Journal of Chemical Physics 118 (7): 3312-28.

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Qiao, Kevrekidis, Punckt, and HH ROTERMUND. (2006) 2006. “Guiding Chemical Pulses through Geometry: Y Junctions”. Physical Review E 73 (3): 036219.

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Benziger, Jay, Tamara Whitaker, Erin Kimball, Kevrekidis, Williams, Krist, Garland, and Satyapal. 2008. “Liquid Water Transport in PEM Fuel Cells”. In Fuel Cell Seminar 2007, 12:67-79. Pennington: Electrochemical Society Inc.

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Qiao, Kevrekidis, Punckt, and HH ROTERMUND. (2006) 2006. “Geometry-Induced Pulse Instability in Microdesigned Catalysts: The Effect of Boundary Curvature”. Physical Review E 73 (3): 036217.

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Makeev, A. G., and I. G. Kevrekidis. (2004) 2004. “Equation-Free Multiscale Computations for a Lattice-Gas Model: Coarse-Grained Bifurcation Analysis of the NO Plus CO Reaction on Pt(100)”. Chemical Engineering Science 59 (8-9): 1733-43.

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Siettos, C. I., I. G. Kevrekidis, and D. Maroudas. (2004) 2004. “Coarse Bifurcation Diagrams via Microscopic Simulators: A State-Feedback Control-Based Approach”. International Journal of Bifurcation and Chaos 14 (1): 207-20.

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Constantin, P., I. G. Kevrekidis, and ES TITI. (2004) 2004. “Asymptotic States of a Smoluchowski Equation”. Archive for Rational Mechanics and Analysis 174 (3): 365-84.

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Gross, and Kevrekidis. (2008) 2008. “Robust Oscillations in SIS Epidemics on Adaptive Networks: Coarse Graining by Automated Moment Closure”. Epl 82 (3): 38004.

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Zhang, Y. C., M. A. Henson, and Y. G. Kevrekidis. 2003. “Nonlinear Order Reduction of Discretized Cell Population Models”. In Proceedings of the 2003 American Control Conference, Vols 1-6, 2383-88. New York: Ieee.

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Samaey, Roose, and Kevrekidis. 2005. “The Gap-Tooth Scheme for Homogenization Problems”. Multiscale Modeling & Simulation 4 (1): 278-306.

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Qiao, Liang, Robert Nachbar, Ioannis Kevrekidis, and Stanislav Shvartsman. (2007) 2007. “Bistability and Oscillations in the Huang-Ferrell Model of MAPK Signaling”. Plos Computational Biology 3 (9): 1819-26.

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Tsoumanis, Siettos, Bafas, and Kevrekidis. (2010) 2010. “EQUATION-FREE MULTISCALE COMPUTATIONS IN SOCIAL NETWORKS: FROM AGENT-BASED MODELING TO COARSE-GRAINED STABILITY AND BIFURCATION ANALYSIS”. International Journal of Bifurcation and Chaos 20 (11): 3673-88.

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Haataja, M., D. J. Srolovitz, and I. G. Kevrekidis. (2004) 2004. “Apparent Hysteresis in a Driven System With Self-Organized Drag”. Physical Review Letters 92 (16): 160603.

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Rico-Martinez, R., C. W. Gear, and I. G. Kevrekidis. (2004) 2004. “Coarse Projective KMC Integration: Forward Reverse Initial and Boundary Value Problems”. Journal of Computational Physics 196 (2): 474-89.

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Vandekerckhove, Christophe, Benjamin Sonday, Alexei Makeev, Dirk Roose, and Ioannis Kevrekidis. (2011) 2011. “A Common Approach to the Computation of Coarse-Scale Steady States and to Consistent Initialization on a Slow Manifold”. Computers & Chemical Engineering 35 (10): 1949-58.

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Chong, Li, Yang, Williams, Kevrekidis, Kevrekidis, and Daraio. (2014) 2014. “Damped-Driven Granular Chains: An Ideal Playground for Dark Breathers and Multibreathers”. Physical Review E 89 (3): 032924.

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Alexander, Francis, Gregory Johnson, Gregory Eyink, and Ioannis Kevrekidis. (2008) 2008. “Equation-Free Implementation of Statistical Moment Closures”. Physical Review E 77 (2): 026701.

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Kopelevich, Panagiotopoulos, and Kevrekidis. (2005) 2005. “Coarse-Grained Kinetic Computations for Rare Events: Application to Micelle Formation”. Journal of Chemical Physics 122 (4): 044908.

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Zou, Yu, Michail Kavousanakis, Ioannis Kevrekidis, and Rodney Fox. (2010) 2010. “Coarse-Grained Computation for Particle Coagulation and Sintering Processes by Linking Quadrature Method of Moments With Monte-Carlo”. Journal of Computational Physics 229 (14): 5299-5314.

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Siettos, C. I., I. G. Kevrekidis, and P. G. Kevrekidis. (2003) 2003. “Focusing Revisited: a Renormalization Bifurcation Approach”. Nonlinearity 16 (2): 497-506.

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Bavarian, Mona, Ioannis Kevrekidis, Jay Benziger, and Masoud Soroush. (2013) 2013. “Modeling and Bifurcation Analysis of a Coionic Conducting Solid Oxide Fuel Cell”. Industrial & Engineering Chemistry Research 52 (9): 3165-77.

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Kavousanakis, Michail, Carlos Colosqui, Ioannis Kevrekidis, and Athanasios Papathanasiou. 2012. “Mechanisms of Wetting Transitions on Patterned Surfaces: Continuum and Mesoscopic Analysis”. Soft Matter 8 (30): 7928-36.

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Kavousanakis, Michail, Jitendra Kanodia, Yoosik Kim, Ioannis Kevrekidis, and Stanislav Shvartsman. (2010) 2010. “A Compartmental Model for the Bicoid Gradient”. Developmental Biology 345 (1): 12-17.

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Erban, Kevrekidis, Adalsteinsson, and Elston. (2006) 2006. “Gene Regulatory Networks: A Coarse-Grained, Equation-Free Approach to Multiscale Computation”. Journal of Chemical Physics 124 (8): 084106.

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Theocharis, Kavousanakis, Kevrekidis, Chiara Daraio, Mason Porter, and Kevrekidis. (2009) 2009. “Localized Breathing Modes in Granular Crystals With Defects”. Physical Review E 80 (6): 066601.

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