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SIAMADS
2010
74views more  SIAMADS 2010»
13 years 5 months ago
Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study
Todd Kapitula, Kody J. H. Law, Panayotis G. Kevrek...
SIAMADS
2010
82views more  SIAMADS 2010»
13 years 5 months ago
Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System
Abstract. This paper investigates travelling wave solutions of the FitzHugh
John Guckenheimer, Christian Kuehn
SIAMADS
2010
95views more  SIAMADS 2010»
13 years 5 months ago
Observing Infinite-dimensional Dynamical Systems
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
SIAMADS
2010
92views more  SIAMADS 2010»
13 years 5 months ago
Weak Stability Boundary and Invariant Manifolds
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
SIAMADS
2010
105views more  SIAMADS 2010»
13 years 5 months ago
Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
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...
SIAMADS
2010
121views more  SIAMADS 2010»
13 years 5 months ago
Binocular Rivalry in a Competitive Neural Network with Synaptic Depression
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
SIAMADS
2010
122views more  SIAMADS 2010»
13 years 5 months ago
Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
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
SIAMADS
2010
72views more  SIAMADS 2010»
13 years 5 months ago
To Snake or Not to Snake in the Planar Swift-Hohenberg Equation
We investigate the bifurcation structure of stationary localised patterns of the two-dimensional Swift
Daniele Avitabile, David J. B. Lloyd, John Burke, ...