Opuscula Math. 25, no. 2 (2005), 261-268

Opuscula Mathematica

Topological approach to chain recurrence in continuous dynamical systems

Piotr Oprocha

Abstract. In this paper we present equivalent definitions of chain recurrent set for continuous dynamical systems. This definitions allow us to define chain recurrent set in topological spaces.

Keywords: chain-recurrent set, continuous dynamical system, flow, attractor.

Mathematics Subject Classification: 37C50, 37C70.

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  • Piotr Oprocha
  • AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland
  • Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland
  • Received: 2004-08-18.
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Piotr Oprocha, Topological approach to chain recurrence in continuous dynamical systems, Opuscula Math. 25, no. 2 (2005), 261-268

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