Coherence resonance near the Hopf bifurcation in coupled chaotic oscillators

M  Zhan; G W  Wei; C H  Lai; Y C  Lai; Z H  Liu; Ying-Cheng Lai

doi:10.1103/PhysRevE.66.036201

Coherence resonance near the Hopf bifurcation in coupled chaotic oscillators

M Zhan, G W Wei, C H Lai, Y C Lai, Z H Liu, Ying-Cheng Lai

Physics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We uncover a coherence resonance near the Hopf bifurcation from chaos in coupled chaotic oscillators. At the bifurcation, a nearly periodic rotating wave becomes stable as the state of synchronous chaos is destabilized. We find that noise can induce the bifurcation and, more strikingly, it can enhance the temporal regularity of the wave pattern in the coupled system. This resonant phenomenon is expected to be robust and physically observable.

Original language	English
Article number	036201
Pages (from-to)	-
Number of pages	5
Journal	Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume	66
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.66.036201
Publication status	Published - Sept 2002

Keywords

NOISE
SYSTEMS
SYNCHRONIZATION

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10.1103/PhysRevE.66.036201

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title = "Coherence resonance near the Hopf bifurcation in coupled chaotic oscillators",

abstract = "We uncover a coherence resonance near the Hopf bifurcation from chaos in coupled chaotic oscillators. At the bifurcation, a nearly periodic rotating wave becomes stable as the state of synchronous chaos is destabilized. We find that noise can induce the bifurcation and, more strikingly, it can enhance the temporal regularity of the wave pattern in the coupled system. This resonant phenomenon is expected to be robust and physically observable.",

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AU - Zhan, M

AU - Wei, G W

AU - Lai, C H

AU - Lai, Y C

AU - Liu, Z H

AU - Lai, Ying-Cheng

PY - 2002/9

Y1 - 2002/9

N2 - We uncover a coherence resonance near the Hopf bifurcation from chaos in coupled chaotic oscillators. At the bifurcation, a nearly periodic rotating wave becomes stable as the state of synchronous chaos is destabilized. We find that noise can induce the bifurcation and, more strikingly, it can enhance the temporal regularity of the wave pattern in the coupled system. This resonant phenomenon is expected to be robust and physically observable.

AB - We uncover a coherence resonance near the Hopf bifurcation from chaos in coupled chaotic oscillators. At the bifurcation, a nearly periodic rotating wave becomes stable as the state of synchronous chaos is destabilized. We find that noise can induce the bifurcation and, more strikingly, it can enhance the temporal regularity of the wave pattern in the coupled system. This resonant phenomenon is expected to be robust and physically observable.

KW - NOISE

KW - SYSTEMS

KW - SYNCHRONIZATION

U2 - 10.1103/PhysRevE.66.036201

DO - 10.1103/PhysRevE.66.036201

M3 - Article

SN - 1539-3755

VL - 66

SP - -

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

IS - 3

M1 - 036201

ER -

Coherence resonance near the Hopf bifurcation in coupled chaotic oscillators

Abstract

Keywords

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