Connecting Orbits and the Boundary Map Method

Name: Connecting Orbits and the Boundary Map Method
Brand: VDM Verlag
SKU: 9783639163407
Price: 48.55 EUR
Availability: InStock

An application of the Conley Index Theory

Autor: Catalin Georgescu

Jazyk:

Väzba: Brožovaná

Vydavateľ: VDM Verlag

Dostupnosť: U vydavateľa na objednávku

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It is known that any isolated invariant set can be §decompose into two isolated invariant sets (the...

Informácie o knihe

Autor

Catalin Georgescu

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2009

Stránok

EAN

9783639163407

ISBN

3639163400

Enbook ID

06824747

Vydavateľ

VDM Verlag

Hmotnosť

Rozmery

152 x 229 x 3

Kompletný popis

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, connecting orbits exist and present work §shows that this map can be embedded in the Alexander §cohomology of certain order of the connecting set. §In particular this shows that if the boundary map is §nonzero in at least two dimensions the connecting §set cannot be contractible.

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Connecting Orbits and the Boundary Map Method

An application of the Conley Index Theory

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