On-off intermittency in continuum systems driven by the Chen system

Qian Zhou; Zeng-Qiang Chen; Zhu Zhi Yuan

Kybernetika (2008)

  • Volume: 44, Issue: 4, page 469-481
  • ISSN: 0023-5954

Abstract

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Previous studies on on-off intermittency in continuum systems are generally based on the synchronization of identical chaotic oscillators or in nonlinear systems driven by the Duffing oscillator. In this paper, one-state on-off intermittency and two-state on-off intermittency are observed in two five- dimensional continuum systems, respectively, where each system has a two- dimensional subsystem driven by the chaotic Chen system. The phenomenon of intermingled basins is observed below the blowout bifurcation. Basic statistical properties of the intermittency are investigated. It is shown that the distribution of the laminar phase follows a -3/2 power law, and that of the burst amplitudes follows a -1 power law, consistent with the basic statistical characteristics of on-off intermittency.

How to cite

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Zhou, Qian, Chen, Zeng-Qiang, and Yuan, Zhu Zhi. "On-off intermittency in continuum systems driven by the Chen system." Kybernetika 44.4 (2008): 469-481. <http://eudml.org/doc/33942>.

@article{Zhou2008,
abstract = {Previous studies on on-off intermittency in continuum systems are generally based on the synchronization of identical chaotic oscillators or in nonlinear systems driven by the Duffing oscillator. In this paper, one-state on-off intermittency and two-state on-off intermittency are observed in two five- dimensional continuum systems, respectively, where each system has a two- dimensional subsystem driven by the chaotic Chen system. The phenomenon of intermingled basins is observed below the blowout bifurcation. Basic statistical properties of the intermittency are investigated. It is shown that the distribution of the laminar phase follows a -3/2 power law, and that of the burst amplitudes follows a -1 power law, consistent with the basic statistical characteristics of on-off intermittency.},
author = {Zhou, Qian, Chen, Zeng-Qiang, Yuan, Zhu Zhi},
journal = {Kybernetika},
keywords = {on-off intermittency; Chen system; Blowout bifurcation; intermingled basin; power law; on-off intermittency; Chen system; blowout bifurcation; intermingled basin; power law},
language = {eng},
number = {4},
pages = {469-481},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On-off intermittency in continuum systems driven by the Chen system},
url = {http://eudml.org/doc/33942},
volume = {44},
year = {2008},
}

TY - JOUR
AU - Zhou, Qian
AU - Chen, Zeng-Qiang
AU - Yuan, Zhu Zhi
TI - On-off intermittency in continuum systems driven by the Chen system
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 4
SP - 469
EP - 481
AB - Previous studies on on-off intermittency in continuum systems are generally based on the synchronization of identical chaotic oscillators or in nonlinear systems driven by the Duffing oscillator. In this paper, one-state on-off intermittency and two-state on-off intermittency are observed in two five- dimensional continuum systems, respectively, where each system has a two- dimensional subsystem driven by the chaotic Chen system. The phenomenon of intermingled basins is observed below the blowout bifurcation. Basic statistical properties of the intermittency are investigated. It is shown that the distribution of the laminar phase follows a -3/2 power law, and that of the burst amplitudes follows a -1 power law, consistent with the basic statistical characteristics of on-off intermittency.
LA - eng
KW - on-off intermittency; Chen system; Blowout bifurcation; intermingled basin; power law; on-off intermittency; Chen system; blowout bifurcation; intermingled basin; power law
UR - http://eudml.org/doc/33942
ER -

References

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