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SIAMADS
2010
145views more  SIAMADS 2010»
15 years 1 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
63views more  SIAMADS 2010»
15 years 1 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
105views more  SIAMADS 2010»
15 years 1 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
92views more  SIAMADS 2010»
15 years 1 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
SIAMCO
2010
97views more  SIAMCO 2010»
15 years 1 months ago
Real-Time Nonlinear Optimization as a Generalized Equation
Abstract. We establish results for the problem of tracking a time-dependent manifold arising in realtime optimization by casting this as a parametric generalized equation. We demon...
Victor M. Zavala, Mihai Anitescu