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Connecting Orbits and the Boundary Map Method:

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ISBN-10: 3639163400

ISBN-13: 9783639163407

Edition: 2009

Authors: Catalin Georgescu

List price: $69.00
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Description:

It is known that any isolated invariant set can be decompose into two isolated invariant sets (the attractor and the dual repeller) and the connecting orbits between them. Detection of these connecting orbits is a central problem in the qualitative analysis of differential equations. The Conley index theory provides a tool to partially solve this problem by attaching to an isolated invariant set a pointed topological space (the index) and then construct a long exact sequence in terms of homologies/cohomologies of the invariant set and the attractor and the repeller that decompose it. The boundary map denotes generically a set of maps that appear in this construction. If this map is nonzero,…    
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Book details

List price: $69.00
Copyright year: 2009
Publisher: Vdm Verlag Dr Mueller E K
Binding: Paperback
Pages: 52
Language: English