Open Mathematics (Nov 2018)

Chaos and bifurcation in the controlled chaotic system

  • Liu Yongjian,
  • Huang Xiezhen,
  • Zheng Jincun

DOI
https://doi.org/10.1515/math-2018-0105
Journal volume & issue
Vol. 16, no. 1
pp. 1255 – 1265

Abstract

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In this paper, chaos and bifurcation are explored for the controlled chaotic system, which is put forward based on the hybrid strategy in an unusual chaotic system. Behavior of the controlled system with variable parameter is researched in detain. Moreover, the normal form theory is used to analyze the direction and stability of bifurcating periodic solution.

Keywords