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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

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