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SIAMMA
2010
122views more  SIAMMA 2010»
12 years 11 months ago
Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model
In this paper, we analyse the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [16], which describes the collective behavior of an...
J. A. Carrillo, M. Fornasier, J. Rosado, G. Toscan...
JSCIC
2011
113views more  JSCIC 2011»
12 years 12 months ago
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation
In this paper, we study a time discrete scheme for the initial value problem of the ES-BGK kinetic equation. Numerically solving these equations are challenging due to the nonlinea...
Francis Filbet, Shi Jin
CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
13 years 11 months ago
Non-uniform small-gain theorems for systems with unstable invariant sets
— We consider the problem of small-gain analysis of asymptotic behavior in interconnected nonlinear dynamic systems. Mathematical models of these systems are allowed to be uncert...
Ivan Tyukin, Erik Steur, Henk Nijmeijer, Cees van ...
SIAMAM
2010
119views more  SIAMAM 2010»
13 years 3 months ago
The Dynamics of Weakly Reversible Population Processes near Facets
This paper concerns the dynamical behavior of weakly reversible, deterministically modeled population processes near the facets (codimension-one faces) of their invariant manifolds...
David F. Anderson, Anne Shiu
ALIFE
2007
13 years 5 months ago
Synchronization Phenomena in Surface-Reaction Models of Protocells
A class of generic models of protocells is introduced, which are inspired by the “Los Alamos bug” is but which, due to their abstraction level, can be applied to a wider set o...
Roberto Serra, Timoteo Carletti, Irene Poli