Chain recurrence in surface flows

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January 1995, 1(1): 1-16. doi: 10.3934/dcds.1995.1.1

Chain recurrence in surface flows

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

1.	Department of Mathematics, University of California at Berkeley, United States, United States

Received August 1994 Published December 1994

Abstract
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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.

Keywords: limit sets, asymptotically autonomous equations., planar flows, surface flows, chain recurrent sets.

Mathematics Subject Classification: 37E30, 37E3.

Citation: Michel Benaim, Morris W. Hirsch. Chain recurrence in surface flows. Discrete & Continuous Dynamical Systems - A, 1995, 1 (1) : 1-16. doi: 10.3934/dcds.1995.1.1

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