Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system

Hongtao Liang; Yanxia Tang; Li Li; Zhouchao Wei; Zhen Wang

Kybernetika (2013)

  • Volume: 49, Issue: 6, page 935-947
  • ISSN: 0023-5954

Abstract

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In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

How to cite

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Liang, Hongtao, et al. "Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system." Kybernetika 49.6 (2013): 935-947. <http://eudml.org/doc/260817>.

@article{Liang2013,
abstract = {In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.},
author = {Liang, Hongtao, Tang, Yanxia, Li, Li, Wei, Zhouchao, Wang, Zhen},
journal = {Kybernetika},
keywords = {four-wing chaotic attractors; Lyapunov coefficient; degenerate Hopf bifurcations; period-doubling cascade; four-wing chaotic attractors; Lyapunov coefficient; degenerate Hopf bifurcations; period-doubling cascade},
language = {eng},
number = {6},
pages = {935-947},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system},
url = {http://eudml.org/doc/260817},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Liang, Hongtao
AU - Tang, Yanxia
AU - Li, Li
AU - Wei, Zhouchao
AU - Wang, Zhen
TI - Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 6
SP - 935
EP - 947
AB - In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
LA - eng
KW - four-wing chaotic attractors; Lyapunov coefficient; degenerate Hopf bifurcations; period-doubling cascade; four-wing chaotic attractors; Lyapunov coefficient; degenerate Hopf bifurcations; period-doubling cascade
UR - http://eudml.org/doc/260817
ER -

References

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