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Chaotic response of a limit cycle

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Abstract

External periodic modulation of a nonlinear oscillator may lead to chaotic behavior. This phenomenon is attributed to the existence of a strange attractor, which embodies essentially a folding motion as is met within the Bernoulli shift or the baker's transformation. The results obtained for the Brussels model are discussed from this viewpoint.

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Authors and Affiliations

  1. Department of Physics, University of Kyoto, Kyoto, Japan

    Kazuhisa Tomita

  2. Department of Physics, Osaka City University, Osaka, Japan

    Tohru Kai

Authors
  1. Kazuhisa Tomita
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  2. Tohru Kai
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Tomita, K., Kai, T. Chaotic response of a limit cycle. J Stat Phys 21, 65–86 (1979). https://doi.org/10.1007/BF01011482

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  • DOI: https://doi.org/10.1007/BF01011482

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