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Topological pressure for nonautonomous systems

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  • Kong, Mengmeng
  • Cheng, Wen-Chiao
  • Li, Bing

Abstract

Kolyada and Snoha (1996) proposed the notion of entropy-like invariants for nonautonomous dynamical systems. This paper was based on that concept and involved extending the behavior of topological pressure to a fixed sequence of maps. Specifically, this study investigated how the pressure changes when the potentials or the mappings vary. The analogues of basic properties were obtained, and this study also reveals that, for any continuous maps T and S from a compact metric space into itself, the maps T∘S and S∘T have the same topological pressure (with respect to the corresponding potential functions).

Suggested Citation

  • Kong, Mengmeng & Cheng, Wen-Chiao & Li, Bing, 2015. "Topological pressure for nonautonomous systems," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 82-92.
    • Handle: RePEc:eee:chsofr:v:76:y:2015:i:c:p:82-92
    DOI: 10.1016/j.chaos.2015.03.010
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    1. Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.
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