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Hyperchaotic beats and their collapse to the quasiperiodic oscillations

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Abstract

The letter shows the possibility of generation of hyperchaotic beats characterized by four, three or two positive Lyapunov exponents. The beats are a result of linear coupling of two identical nonlinear subsystems describing second-harmonic generation of light (SHG). The rapid transition from highly chaotic beats to quasiperiodic oscillations is studied.

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Authors and Affiliations

  1. Nonlinear Optics Division, Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614, Poznań, Poland

    I. Śliwa, K. Grygiel & P. Szlachetka

Authors
  1. I. Śliwa
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  2. K. Grygiel
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  3. P. Szlachetka
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Correspondence to K. Grygiel.

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Śliwa, I., Grygiel, K. & Szlachetka, P. Hyperchaotic beats and their collapse to the quasiperiodic oscillations. Nonlinear Dyn 53, 13–18 (2008). https://doi.org/10.1007/s11071-007-9291-5

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  • DOI: https://doi.org/10.1007/s11071-007-9291-5

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