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) |
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Pages (from-to) | 329-378 |
Number of pages | 50 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 9 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1989 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics