ENGLISH

Multi-pulse evolution and space-time chaos in dissipative systems

By Alexander Mielke , Sergey Zelik

Book information

Publisher
Amer Mathematical Society
Year
2009
ISBN
0821842641, 978-0-8218-4264-5
Language
english
Format
PDF
Filesize
700 kB (716372 bytes)
Series
Memoirs of the American Mathematical Society 0925
Pages
112\112
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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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