Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002 · 12 citations · 32 references
Natural SciencesPhysicsComplex SystemsDynamical SystemsSystem DynamicsBifurcation TheoryChaos TheoryNonlinear DynamicsNonlinear Wave DynamicsOscillatorsResonant DynamicsChaos In Dynamical SystemsChaotic DynamicsChaotic OscillatorsCoupled NetworksCoupled Oscillator DynamicsCoupled OscillatorsHopf BifurcationResonance
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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Coherence Resonance in a Noise-Driven Excitable System
Arkady Pikovsky, Jürgen Kurths · Physical Review Letters · 1997 · 1.7K citations