Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems
Author :
Publisher : American Mathematical Soc.
Total Pages : 112
Release :
ISBN-10 : 9780821842645
ISBN-13 : 0821842641
Rating : 4/5 (45 Downloads)

Book Synopsis Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems by : Sergey Zelik

Download or read book Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems written by Sergey Zelik and published by American Mathematical Soc.. This book was released on 2009-03-06 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained via translations. The multi-pulse solutions under consideration look like the sum of infinitely many such pulses which are well separated. They prove a global center-manifold reduction theorem for the temporal evolution of such multi-pulse solutions and show that the dynamics of these solutions can be described by an infinite system of ODEs for the positions of the pulses. As an application of the developed theory, The authors verify the existence of Sinai-Bunimovich space-time chaos in 1D space-time periodically forced Swift-Hohenberg equation.


Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems Related Books

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems
Language: en
Pages: 112
Authors: Sergey Zelik
Categories: Mathematics
Type: BOOK - Published: 2009-03-06 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained
Multi-pulse Evolution and Space-time Chaos in Dissipative Systems
Language: en
Pages: 113
Authors: Sergey Zelik
Categories: Mathematics
Type: BOOK - Published: 2009-01-01 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

We study semilinear parabolic systems on the full space Rn that admit a family of exponentially decaying pulse-like steady states obtained via translations. The
The Creation of Strange Non-Chaotic Attractors in Non-Smooth Saddle-Node Bifurcations
Language: en
Pages: 120
Authors: Tobias H. JŠger
Categories: Mathematics
Type: BOOK - Published: 2009-08-07 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically
Scattering Resonances for Several Small Convex Bodies and the Lax-Phillips Conjecture
Language: en
Pages: 90
Authors: Luchezar N. Stoyanov
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This work deals with scattering by obstacles which are finite disjoint unions of strictly convex bodies with smooth boundaries in an odd dimensional Euclidean s
Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space
Language: en
Pages: 119
Authors: Zeng Lian
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are