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Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators |
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| Authors: | Nataliya V Stankevich Anton Dvorak Vladimir Astakhov Patrycja Jaros Marcin Kapitaniak Przemysław Perlikowski Tomasz Kapitaniak |
| Institution: | 1.Department of Radioelectronics and Telecommunications,Yuri Gagarin State Technical University of Saratov,Saratov,Russia;2.Faculty of Information Technology,University of Jyvaskyla,Jyvaskyla,Finland;3.Division of Dynamics,Lodz University of Technology,Lodz,Poland;4.Centre for Applied Dynamics Research,University of Aberdeen,Aberdeen, Scotland,UK |
| Abstract: | 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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