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Recurrences of strange attractors

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Abstract

The transitions from or to strange nonchaotic attractors are investigated by recurrence plot-based methods. The techniques used here take into account the recurrence times and the fact that trajectories on strange nonchaotic attractors (SNAs) synchronize. The performance of these techniques is shown for the Heagy-Hammel transition to SNAs and for the fractalization transition to SNAs for which other usual nonlinear analysis tools are not successful.

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Authors and Affiliations

  1. Nonlinear Dynamics Group, Institute of Physics, University of Potsdam, Potsdam, 14415, Germany

    E. J. Ngamga & J. Kurths

  2. School of Physical Sciences, Jawaharlal Nehru University, New Delhi, 110 067, India

    A. Nandi & R. Ramaswamy

  3. Department of Physics, University of Aberdeen, Aberdeen, AB24 3UE, UK

    M. C. Romano & M. Thiel

Authors
  1. E. J. Ngamga
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  2. A. Nandi
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  3. R. Ramaswamy
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  4. M. C. Romano
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  5. M. Thiel
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  6. J. Kurths
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Corresponding author

Correspondence to E. J. Ngamga.

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Ngamga, E.J., Nandi, A., Ramaswamy, R. et al. Recurrences of strange attractors. Pramana - J Phys 70, 1039–1045 (2008). https://doi.org/10.1007/s12043-008-0108-y

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  • DOI: https://doi.org/10.1007/s12043-008-0108-y

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