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    SIAMADS
    2010
    74views more  SIAMADS 2010»
    Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study
    12 years 11 months ago
    Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study
    Download  www.math.umass.edu
    Todd Kapitula, Kody J. H. Law, Panayotis G. Kevrek...
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    SIAMADS
    2010
    82views more  SIAMADS 2010»
    Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System
    12 years 11 months ago
    Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System
    Download  www.math.cornell.edu
    Abstract. This paper investigates travelling wave solutions of the FitzHugh
    John Guckenheimer, Christian Kuehn
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    SIAMADS
    2010
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    Observing Infinite-dimensional Dynamical Systems
    12 years 11 months ago
    Observing Infinite-dimensional Dynamical Systems
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    We study the extent to which properties of infinite-dimensional dynamical systems can be accurately detected by examining observations of such systems. Let H be a separable Hilbert...
    Jessica Lin, William Ott
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    SIAMADS
    2010
    92views more  SIAMADS 2010»
    Weak Stability Boundary and Invariant Manifolds
    12 years 11 months ago
    Weak Stability Boundary and Invariant Manifolds
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    The concept of weak stability boundary has been successfully used in the design of several fuel efficient space missions. In this paper we give a rigorous definition of the weak st...
    Edward Belbruno, Marian Gidea, Francesco Topputo
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    SIAMADS
    2010
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    The Large Core Limit of Spiral Waves in Excitable Media: A Numerical Approach
    12 years 11 months ago
    The Large Core Limit of Spiral Waves in Excitable Media: A Numerical Approach
    Download  www.maths.usyd.edu.au
    Sebastian Hermann, Georg A. Gottwald
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    SIAMADS
    2010
    99views more  SIAMADS 2010»
    Global Asymptotic Stability of Solutions of Nonautonomous Master Equations
    12 years 11 months ago
    Global Asymptotic Stability of Solutions of Nonautonomous Master Equations
    Download  www.math.utah.edu
    Berton A. Earnshaw, James P. Keener
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    SIAMADS
    2010
    105views more  SIAMADS 2010»
    Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
    12 years 11 months ago
    Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
    Download  www.math.ucla.edu
    We present a weakly nonlinear analysis of our recently developed model for the formation of crime patterns. Using a perturbative approach, we find amplitude equations that govern t...
    Martin B. Short, Andrea L. Bertozzi, P. J. Brantin...
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    SIAMADS
    2010
    121views more  SIAMADS 2010»
    Binocular Rivalry in a Competitive Neural Network with Synaptic Depression
    12 years 11 months ago
    Binocular Rivalry in a Competitive Neural Network with Synaptic Depression
    Download  www.math.utah.edu
    We study binocular rivalry in a competitive neural network with synaptic depression. In particular, we consider two coupled hypercolums within primary visual cortex (V1), represent...
    Zachary P. Kilpatrick, Paul C. Bressloff
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    SIAMADS
    2010
    122views more  SIAMADS 2010»
    Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
    12 years 11 months ago
    Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
    Download  www-sop.inria.fr
    Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts...
    Romain Veltz, Olivier D. Faugeras
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    SIAMADS
    2010
    72views more  SIAMADS 2010»
    To Snake or Not to Snake in the Planar Swift-Hohenberg Equation
    12 years 11 months ago
    To Snake or Not to Snake in the Planar Swift-Hohenberg Equation
    Download  personal.maths.surrey.ac.uk
    We investigate the bifurcation structure of stationary localised patterns of the two-dimensional Swift
    Daniele Avitabile, David J. B. Lloyd, John Burke, ...
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