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Symbolic dynamics of Belykh-type maps

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Abstract

The symbolic dynamics of a Belykh-type map (a two-dimensional discontinuous piecewise linear map) is investigated. The admissibility condition for symbol sequences named the pruning front conjecture is proved under a hyperbolicity condition. Using this result, a symbolic dynamics model of the map is constructed according to its pruning front and primary pruned region. Moreover, the boundary of the parameter region in which the map is chaotic of a horseshoe type is given.

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Authors and Affiliations

  1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Denghui Li & Jianhua Xie

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  1. Denghui Li
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  2. Jianhua Xie
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Correspondence to Jianhua Xie.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11172246 and 11572263)

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Li, D., Xie, J. Symbolic dynamics of Belykh-type maps. Appl. Math. Mech.-Engl. Ed. 37, 671–682 (2016). https://doi.org/10.1007/s10483-016-2080-9

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  • DOI: https://doi.org/10.1007/s10483-016-2080-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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