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Stochastic versus chaotic dynamics in a deterministic system

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Abstract

We analyze a dynamical system whose time evolution depends on an externally controlled model parameter. We observe that the introduction of state-dependent perturbations induces a variety of phenomena which can have either a chaotic or stochastic nature. We analyze the sensitivity of the dynamics and the underlying attractors to the strength, frequency, and time correlations of the external perturbations.

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Gudowska-Nowak, E., Kleczkowski, A. & Williams, G.O. Stochastic versus chaotic dynamics in a deterministic system. J Stat Phys 54, 539–560 (1989). https://doi.org/10.1007/BF01023494

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  • DOI: https://doi.org/10.1007/BF01023494

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