Equivariant spectral decomposition for flows with a Z-action

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Abstract

Given a manifold [formula omitted] equipped with a free, properly discontinuous, cocompact Z-action, and a flow [formula omitted] on [formula omitted] which is Z-equivariant, we study the qualitative dynamics of [formula omitted]. Under certain hypotheses on [formula omitted], we show that the chain recurrent set of [formula omitted] has a decomposition which is the analogue, in the category of Z-equivariant flows, of Smale's spectral decomposition for recurrent sets of Axiom A flows.

Original languageEnglish (US)
Pages (from-to)329-378
Number of pages50
JournalErgodic Theory and Dynamical Systems
Volume9
Issue number2
DOIs
StatePublished - Jun 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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