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Semiflows on Topological Spaces: Chain Transitivity and Semigroups

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This paper studies semiflows on topological spaces. A concept of chain recurrence, based on families of coverings, is introduced and related to Morse decomposition. The chain transitive components are studied via semigroup theory by the introduction of the shadowing semigroups associated to a semiflow.

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Authors and Affiliations

  1. Instituto de Matemática, Universidade Estadual de Campinas, Cx. Postal 6065, 13.081-970, Campinas-SP, Brasil

    Mauro Patrão & Luiz A.B. San Martin

Authors
  1. Mauro Patrão
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  2. Luiz A.B. San Martin
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Correspondence to Luiz A.B. San Martin.

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Patrão, M., Martin, L.A.S. Semiflows on Topological Spaces: Chain Transitivity and Semigroups. J Dyn Diff Equat 19, 155–180 (2007). https://doi.org/10.1007/s10884-006-9032-3

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  • DOI: https://doi.org/10.1007/s10884-006-9032-3

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