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

Zelik, Sergey; Mielke, Alexander

 
9780821842645: Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems
Couverture souple
ISBN 10 : 0821842641 ISBN 13 : 9780821842645
Editeur : American Mathematical Society, 2009

Synopsis

The authors study semi linear parabolic systems on the full space Rn 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 ID space-time periodically forced Swift - Hohenberg equation.

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Éditeur
American Mathematical Society
Date d'édition
2009
Langue
anglais
ISBN 10 
0821842641
ISBN 13 
9780821842645
Reliure
Broché
Nombre de pages
97
Coordonnées du fabricant
non disponible
Personne responsable
non disponible