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Chain Recurrent Sets for Flows on Non-Compact Spaces

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Abstract

Hurley in [5] gave an alternative definition of the chain recurrent set of a flow in terms of finite sequences of orbit segments, and extended Conley's characterization to flows on any metric space. Also, he obtained two characterizations of the chain recurrent set of a flow. But there are some defect in his proofs. In this paper we carry out improvement on the proofs in [5].

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Authors and Affiliations

  1. Department of Mathematics, Chungnam National University, Taejon, 305-764, Korea

    Sung Kyu Choi, Chin-Ku Chu & Jong Suh Park

Authors
  1. Sung Kyu Choi
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  2. Chin-Ku Chu
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  3. Jong Suh Park
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Correspondence to Sung Kyu Choi.

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Choi, S.K., Chu, CK. & Park, J.S. Chain Recurrent Sets for Flows on Non-Compact Spaces. Journal of Dynamics and Differential Equations 14, 597–611 (2002). https://doi.org/10.1023/A:1016339216210

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  • DOI: https://doi.org/10.1023/A:1016339216210

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