Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

Nataliya V. Stankevich; Anton Dvorak; Vladimir Astakhov; Patrycja Jaros; Marcin Kapitaniak; Przemysław Perlikowski; Tomasz Kapitaniak

doi:10.1134/S1560354718010094

Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

Авторы: Stankevich N.V.¹^,2, Dvorak A.¹, Astakhov V.³, Jaros P.³, Kapitaniak M.⁴, Perlikowski P.³, Kapitaniak T.³
Учреждения:
1. Department of Radioelectronics and Telecommunications
2. Faculty of Information Technology
3. Division of Dynamics
4. Centre for Applied Dynamics Research
Выпуск: Том 23, № 1 (2018)
Страницы: 120-126
Раздел: Article
URL: https://journals.rcsi.science/1560-3547/article/view/218926
DOI: https://doi.org/10.1134/S1560354718010094
ID: 218926

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Аннотация

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.