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SIAMADS
2010
95views more  SIAMADS 2010»
13 years 16 days 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
114views more  SIAMADS 2010»
13 years 16 days ago
The Abelian Hopf H mod K Theorem
We study the symmetries of periodic solutions from Hopf bifurcation in systems with finite abelian symmetries. Our main result, the Abelian Hopf H mod K Theorem, gives necessary a...
Natasha Filipski, Martin Golubitsky
SIAMADS
2010
101views more  SIAMADS 2010»
13 years 16 days 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
SIAMADS
2010
122views more  SIAMADS 2010»
13 years 16 days 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
145views more  SIAMADS 2010»
13 years 16 days 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