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Diffusion as a result of transition in behavior of deterministic maps

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  • Borys, Przemyslaw
  • Grzywna, Zbigniew J.

Abstract

A transition from nondiffusive growth of variance of a particles position to diffusive one of various type, in nonlinear deterministic maps, is discussed. The details of generating regular, subdiffusive and superdiffusive cases are shown.

Suggested Citation

  • Borys, Przemyslaw & Grzywna, Zbigniew J., 2006. "Diffusion as a result of transition in behavior of deterministic maps," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 156-165.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:156-165
    DOI: 10.1016/j.chaos.2005.08.163
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    References listed on IDEAS

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    1. Stefanski, Andrzej & Dabrowski, Artur & Kapitaniak, Tomasz, 2005. "Evaluation of the largest Lyapunov exponent in dynamical systems with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1651-1659.
    2. Goychuk, Igor & Hänggi, Peter, 2003. "The role of conformational diffusion in ion channel gating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 9-18.
    3. Andrzej Stefanski & Tomasz kapitaniak, 2000. "Using chaos synchronization to estimate the largest lyapunov exponent of nonsmooth systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 4, pages 1-9, January.
    4. Castiglione, P & Mazzino, A & Muratore-Ginanneschi, P, 2000. "Numerical study of strong anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(1), pages 60-68.
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