Horseshoe in a Class of Planar Mappings

نویسندگان

  • YAN HUANG
  • XIAO-SONG YANG
چکیده

Bursting dynamics of mappings is investigated in this paper. We first present stability analysis of the mappings’ equilibria with various parameters. Then for three mappings P, P̄, and ̂ P with different parameters, we study their powers P4, P̄6, and ̂ P4. We show that the mappings thus obtained are chaotic by giving a rigorous verification of existence of horseshoes in these mappings. Precisely, we prove that the mapping P̄6 is semiconjugate to the 3-shift mapping; themappings P4 and ̂ P4 are semiconjugate to the 4-shift mapping.

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تاریخ انتشار 2005