Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

    2018, Volume 23, Number 1, pp.  120-126

    Author(s): Stankevich N. V., Dvorak A., Astakhov V. V., Jaros P., Kapitaniak M., Perlikowski P., Kapitaniak T.

    The dynamics of two coupled antiphase driven Toda oscillators is studied. We demonstrate three different routes of transition to chaotic dynamics associated with different bifurcations of periodic and quasi-periodic regimes. As a result of these, two types of chaotic dynamics with one and two positive Lyapunov exponents are observed. We argue that the results obtained are robust as they can exist in a wide range of the system parameters.
    Keywords: chaos, hyperchaos, Toda oscillator
    Citation: Stankevich N. V., Dvorak A., Astakhov V. V., Jaros P., Kapitaniak M., Perlikowski P., Kapitaniak T., Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators, Regular and Chaotic Dynamics, 2018, Volume 23, Number 1, pp. 120-126



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