Symbolic dynamics of Belykh-type maps

doi:10.1007/s10483-016-2080-9

Abstract

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.

Key words: symbolic dynamics, pruning front, discontinuous piecewise linear map, primary pruned region, horseshoe

2010 MSC Number:

37G15
70K43

Denghui LI, Jianhua XIE. Symbolic dynamics of Belykh-type maps. Applied Mathematics and Mechanics (English Edition), 2016, 37(5): 671-682.

TrendMD

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