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[word] Multi-pulse Evolution and Space-time Chaos in Dissipative Systems

Multi-pulse Evolution and Space-time Chaos in Dissipative Systems书籍详细信息

ISBN：9780821842645
作者：暂无作者
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适合人群：Researchers in physics, mathematicians, engineers, students studying nonlinear dynamics, and anyone interested in the mathematical modeling and analysis of complex systems
TAG：Physics / Chaos Theory / Nonlinear Dynamics / Mathematics in Science / Dissipative Systems
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更新时间：2025-05-16 23:53:04

内容简介：

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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