Chaos and bifurcation in the controlled chaotic system

Chaos and bifurcation in the controlled chaotic system

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...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2018-11, Vol.16 (1), p.1255-1265
Hauptverfasser: Liu, Yongjian, Huang, Xiezhen, Zheng, Jincun
Format: Artikel
Sprache:eng
Schlagworte:
34C23
Bifurcation
Bifurcation theory
C34C28
C34C60
C34H20
Canonical forms
Chaos
Chaos theory
Controlled chaotic system
Normal form theory
Stability analysis
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Beschreibung
Zusammenfassung: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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2018-0105