Nataliya V. Stankevich, Anton Dvorak, Vladimir Astakhov, Patrycja Jaros, Marcin Kapitaniak, Przemyslaw Perlikowski, Tomasz Kapitaniak, “Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators”, Regul. Chaotic Dyn., 2018, Volume 23, Issue 1,Pages <nobr>120–126</nobr>

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Regul. Chaotic Dyn., 2018 Volume 23, Issue 1, Pages 120–126 (Mi rcd312)

This article is cited in 29 papers

Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

Nataliya V. Stankevich^ab, Anton Dvorak^b, Vladimir Astakhov^c, Patrycja Jaros^c, Marcin Kapitaniak^d, Przemyslaw Perlikowski^c, Tomasz Kapitaniak^c

^a Faculty of Information Technology, University of Jyvaskyla, P.O. Box 35, FI-40014 Jyvaskyla, Finland
^b Department of Radioelectronics and Telecommunications, Yuri Gagarin State Technical University of Saratov, ul. Polytechnicheskaya 77, Saratov, 410054 Russia
^c Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
^d Centre for Applied Dynamics Research, University of Aberdeen, Aberdeen, AB24 3UE, Scotland

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.

Keywords: chaos, hyperchaos, Toda oscillator.

MSC: 37C99, 37E99

Received: 27.07.2017
Accepted: 06.10.2017

Language: English

DOI: 10.1134/S1560354718010094

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