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Amplification of weak signals and stochastic resonance via on-off intermittency with symmetry breaking

Changsong Zhou·C. -H. Lai
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Abstract

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the invariant subspace can lose stability, leading to on-off intermittency. Under certain conditions, the bursting behavior is symmetry-breaking. We demonstrate the possibility of observing multiplicative noise(chaos)-induced amplification of weak signal and stochastic resonance via on-off intermittency with symmetry breaking in a general class of symmetrical systems. Differences of this mechanism of stochastic resonance to that in noisy bistable or threshold systems are discussed

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Changsong Zhou, C. -H. Lai. 2000-05-08. Amplification of weak signals and stochastic resonance via on-off intermittency with symmetry breaking. https://arxiv.org/abs/nlin/0005013

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