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Prolongational centers and their depths

Tom 234 / 2016

Boyang Ding, Changming Ding Fundamenta Mathematicae 234 (2016), 287-296 MSC: Primary 37B20; Secondary 54H20. DOI: 10.4064/fm22-10-2015 Opublikowany online: 17 March 2016

Streszczenie

In 1926 Birkhoff defined the center depth, one of the fundamental invariants that characterize the topological structure of a dynamical system. In this paper, we introduce the concepts of prolongational centers and their depths, which lead to a complete family of topological invariants. Some basic properties of the prolongational centers and their depths are established. Also, we construct a dynamical system in which the depth of a prolongational center is a prescribed countable ordinal.

Autorzy

  • Boyang DingSchool of Economics
    Zhejiang Gongshang University
    Hangzhou, Zhejiang 310018, P.R. China
    e-mail
  • Changming DingSchool of Mathematical Sciences
    Xiamen University
    Xiamen, Fujian 361005, P.R. China
    e-mail

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