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Symmetry-breaking on-off intermittency under modulation: robustness of supersensitivity, resonance, and information
1Department of Physics and Center for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China and Department of Physics, University of Houston, Houston, Texas 77204, USA.
Abstract:
Nonlinear dynamical systems possessing an invariant subspace in the phase space and chaotic or stochastic motion within the subspace often display on-off intermittency close to the threshold of stability of the subspace. In a class of symmetric systems, the intermittency is symmetry breaking [Ying-Cheng Lai, Phys. Rev. E 53, R4267 (1996)]. We report interesting and practically important universal behavior of robustness of supersensitivity, resonance, and information gain in this class of systems when subjected to a weak modulation. While intermittent loss of synchronization may be harmful to the application of high-quality synchronization of coupled chaotic systems, the features reported here may lead to interesting application of on-off intermittency.