Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators


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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.

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Nataliya Stankevich

Department of Radioelectronics and Telecommunications; Faculty of Information Technology

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Email: nstankevichnv@mail.ru
俄罗斯联邦, ul. Polytechnicheskaya 77, Saratov, 410054; Jyvaskyla, FI-40014

Anton Dvorak

Department of Radioelectronics and Telecommunications

Email: nstankevichnv@mail.ru
俄罗斯联邦, ul. Polytechnicheskaya 77, Saratov, 410054

Vladimir Astakhov

Division of Dynamics

Email: nstankevichnv@mail.ru
波兰, Stefanowskiego 1/15, Lodz, 90-924

Patrycja Jaros

Division of Dynamics

Email: nstankevichnv@mail.ru
波兰, Stefanowskiego 1/15, Lodz, 90-924

Marcin Kapitaniak

Centre for Applied Dynamics Research

Email: nstankevichnv@mail.ru
英国, Aberdeen, Scotland, AB24 3UE

Przemysław Perlikowski

Division of Dynamics

Email: nstankevichnv@mail.ru
波兰, Stefanowskiego 1/15, Lodz, 90-924

Tomasz Kapitaniak

Division of Dynamics

Email: nstankevichnv@mail.ru
波兰, Stefanowskiego 1/15, Lodz, 90-924

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