Chain recurrence in surface flows

Michel Benaim; Morris W. Hirsch

doi:10.3934/dcds.1995.1.1

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1995, Volume 1, Issue 1: 1-16. Doi: 10.3934/dcds.1995.1.1

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Chain recurrence in surface flows

Michel Benaim^1, and
Morris W. Hirsch^1,

1.
Department of Mathematics, University of California at Berkeley

Received: July 31, 1994

Published: December 1994

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Abstract

We investigate the topological and dynamical structure of internally chain recurrent sets for surface flows having particularly simple limit sets, including planar flows with finitely many equilibria. We verify a conjecture of Thieme (1992) concerning the limit sets of planar asymptotically autonomous equations.

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Mathematics Subject Classification: 37E30, 37E35.

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