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• W2011277898 abstract "We characterize the response of a chaotic system by investigating ensembles of, rather than single, trajectories. Time-periodic stimulations are experimentally and numerically investigated. This approach allows detecting and characterizing a broad class of coherent phenomena that go beyond generalized and phase synchronization. In particular, we find that a large average response is not necessarily related to the presence of standard forms of synchronization. Moreover, we study the stability of the response, by introducing an effective method to determine the largest nonzero eigenvalue $ensuremath{-}{ensuremath{gamma}}_{1}$ of the corresponding Liouville-type operator, without the need of directly simulating it. The exponent ${ensuremath{gamma}}_{1}$ is a dynamical invariant, which complements the standard characterization provided by the Lyapunov exponents." @default.
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• W2011277898 date "2010-05-10" @default.
• W2011277898 modified "2023-09-25" @default.
• W2011277898 title "Characterizing the Response of Chaotic Systems" @default.
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• W2011277898 doi "https://doi.org/10.1103/physrevlett.104.194101" @default.
• W2011277898 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/20866966" @default.
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