Equivariant spectral decomposition for flows with a Z-action

Lee Mosher

doi:10.1017/S0143385700005009

Equivariant spectral decomposition for flows with a Z-action

Lee Mosher

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 language	English (US)
Pages (from-to)	329-378
Number of pages	50
Journal	Ergodic Theory and Dynamical Systems
Volume	9
Issue number	2
DOIs	https://doi.org/10.1017/S0143385700005009
State	Published - Jun 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1017/S0143385700005009

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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.",

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year = "1989",

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PY - 1989/6

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AB - 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.

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ER -

Equivariant spectral decomposition for flows with a Z-action

Abstract

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