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SIAMADS
2010
63views more  SIAMADS 2010»
12 years 11 months ago
Time Integration and Steady-State Continuation for 2d Lubrication Equations
Lubrication equations describe many structuring processes of thin liquid films. We develop and apply a numerical framework suitable for their analysis employing a dynamical systems...
Philippe Beltrame, Uwe Thiele
SIAMADS
2010
97views more  SIAMADS 2010»
12 years 11 months ago
Localized States in a Model of Pattern Formation in a Vertically Vibrated Layer
Abstract. We consider a novel asymptotic limit of model equations proposed to describe the formation of localized states in a vertically vibrated layer of granular material or visc...
J. H. P. Dawes, S. Lilley
SIAMADS
2010
61views more  SIAMADS 2010»
12 years 11 months ago
Dissecting the Phase Response of a Model Bursting Neuron
We investigate the phase response properties of the Hindmarsh
William Erik Sherwood, John Guckenheimer
SIAMADS
2010
145views more  SIAMADS 2010»
12 years 11 months ago
Propagation of Spike Sequences in Neural Networks
Precise spatiotemporal sequences of action potentials are observed in many brain areas and are thought to be involved in the neural processing of sensory stimuli. Here, we examine ...
Arnaud Tonnelier
SIAMADS
2010
105views more  SIAMADS 2010»
12 years 11 months ago
Model Reduction of the Nonlinear Complex Ginzburg-Landau Equation
Reduced-order models of the nonlinear complex Ginzburg
Milos Ilak, Shervin Bagheri, Luca Brandt, Clarence...
SIAMADS
2010
68views more  SIAMADS 2010»
12 years 11 months ago
Front Interactions in a Three-Component System
P. van Heijster, Arjen Doelman, Tasso J. Kaper, Ke...
SIAMADS
2010
100views more  SIAMADS 2010»
12 years 11 months ago
Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network
Previous numerical and analytical work has shown that synaptic coupling can allow a network of model neurons to synchronize despite heterogeneity in intrinsic parameter values. In ...
Justin R. Dunmyre, Jonathan E. Rubin
SIAMADS
2010
119views more  SIAMADS 2010»
12 years 11 months ago
Importance Sampling for Dispersion-Managed Solitons
The dispersion-managed nonlinear Schr
Elaine T. Spiller, Gino Biondini
SIAMADS
2010
97views more  SIAMADS 2010»
12 years 11 months ago
Localized Instability and Attraction along Invariant Manifolds
Abstract. We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriate...
George Haller, Themistoklis Sapsis
SIAMADS
2010
101views more  SIAMADS 2010»
12 years 11 months ago
An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator
In this paper, we consider analytically sliding bifurcations of periodic orbits in the dry friction oscillator. The system depends on two parameters; F, which corresponds to the i...
Marcel Guardia, S. John Hogan, Tere M. Seara