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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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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Moon, Sung Joon, Kevrekidis, and Sundaresan. (2006) 2006. “Compaction and Dilation Rate Dependence of Stresses in Gas-Fluidized Beds”. Physics of Fluids 18 (8): 083304.

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Setayeshgar, Gear, Othmer, and Kevrekidis. 2005. “Application of Coarse Integration to Bacterial Chemotaxis”. Multiscale Modeling & Simulation 4 (1): 307-27.

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Givon, Dror, and Ioannis Kevrekidis. 2008. “MULTISCALE INTEGRATION SCHEMES FOR JUMP-DIFFUSION SYSTEMS”. Multiscale Modeling & Simulation 7 (2): 495-516.

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Raghib, Levin, and Kevrekidis. (2010) 2010. “Multiscale Analysis of Collective Motion and Decision-Making in Swarms: An Advection-Diffusion Equation With Memory Approach”. Journal of Theoretical Biology 264 (3): 893-913.

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Givon, Dror, Ioannis Kevrekidis, and Raz Kupferman. (2006) 2006. “Strong Convergence of Projective Integration Schemes for Singularly Perturbed Stochastic Differential Systems”. Communications in Mathematical Sciences 4 (4): 707-29.

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Bar, M., A. K. Bangia, and I. G. Kevrekidis. (2003) 2003. “Bifurcation and Stability Analysis of Rotating Chemical Spirals in Circular Domains: Boundary-Induced Meandering and Stabilization”. Physical Review E 67 (5): 056126.

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Moon, Sung Joon, Sundaresan, and Kevrekidis. (2007) 2007. “Coarse-Grained Computations of Demixing in Dense Gas-Fluidized Beds”. Physical Review E 75 (5): 051309.

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Gear, Kaper, Kevrekidis, and Zagaris. 2005. “Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes”. Siam Journal on Applied Dynamical Systems 4 (3): 711-32.

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Benziger, Chia, De Decker, and Kevrekidis. (2007) 2007. “Ignition and Front Propagation in Polymer Electrolyte Membrane Fuel Cells”. Journal of Physical Chemistry C 111 (5): 2330-34.

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Zou, Kevrekidis, and Armbruster. (2006) 2006. “Multiscale Analysis of Re-Entrant Production Lines: An Equation-Free Approach”. Physica a-Statistical Mechanics and Its Applications 363 (1): 1-13.

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De Decker, Benziger, Kimball, and Kevrekidis. (2010) 2010. “Multistability, Nonlinear Response and Wave Propagation in Self-Humidified PEM Fuel Cells”. Chemical Engineering Science 65 (7): 2399-2409.

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Colosqui, Carlos, May Cheah, Ioannis Kevrekidis, and Jay Benziger. (2011) 2011. “Droplet and Slug Formation in Polymer Electrolyte Membrane Fuel Cell Flow Channels: The Role of Interfacial Forces”. Journal of Power Sources 196 (23): 10057-68.

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Kevrekidis, P. G., R. Carretero-Gonzalez, D. J. Frantzeskakis, and I. G. Kevrekidis. (2004) 2004. “Vortices in Bose-Einstein Condensates: Some Recent Developments”. Modern Physics Letters B 18 (30): 1481-1505.

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Laing, Carlo, Karthikeyan Rajendran, and Ioannis Kevrekidis. (2012) 2012. “Chimeras in Random Non-Complete Networks of Phase Oscillators”. Chaos 22 (1): 013132.

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Cotter, Simon, Konstantinos Zygalakis, Ioannis Kevrekidis, and Radek Erban. (2011) 2011. “A Constrained Approach to Multiscale Stochastic Simulation of Chemically Reacting Systems”. Journal of Chemical Physics 135 (9): 094102.

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Russo, Lucia, Constantinos Siettos, and Ioannis Kevrekidis. (2007) 2007. “Reduced Computations for Nematic-Liquid Crystals: A Timestepper Approach for Systems With Continuous Symmetries”. Journal of Non-Newtonian Fluid Mechanics 146 (1-3): 51-58.

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Colosqui, Carlos, Michail Kavousanakis, Athanasios Papathanasiou, and Ioannis Kevrekidis. (2013) 2013. “Mesoscopic Model for Microscale Hydrodynamics and Interfacial Phenomena: Slip, Films, and Contact-Angle Hysteresis”. Physical Review E 87 (1): 013302.

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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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