Coherence resonance near blowout bifurcation in nonlinear dynamical systems

Details Coherence resonance near blowout bifurcation in nonlinear dynamical systems Coherence resonance near blowout bifurcation in nonlinear dynamical systems

2000-05-29

arxiv.org/abs/nlin/0005060v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 6 figures

Scientific paper

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in systems close to a {\sl blowout bifurcation}. It is shown that for dynamical systems with an invariant subspace in which there is a phase-coherent chaotic attractor, the interplay among the oscillation of local transverse stability, noise and nonlinearity can lead to coherence resonance phenomenon. The mechanism of coherence resonance in this type of system is different from that in previously studied systems.

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