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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 1, Pages 120–126
DOI: https://doi.org/10.1134/S1560354718010094 (Mi rcd312) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

Nataliya V. Stankevichab, Anton Dvorakb, Vladimir Astakhovc, Patrycja Jarosc, Marcin Kapitaniakd, Przemyslaw Perlikowskic, Tomasz Kapitaniakc

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
Citations (30)
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DOI: https://doi.org/10.1134/S1560354718010094
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-661.2017.8
9.2108.2017/4.6
N.V.S. acknowledges partial support from the grant of the President of the Russian Federation (MK-661.2017.8), V.V.A. thanks for partial financial support from the Russian Ministry of Science and Education (Project 9.2108.2017/4.6).
Received: 27.07.2017
Accepted: 06.10.2017
Bibliographic databases:
Document Type: Article
MSC: 37C99, 37E99
Language: English
Citation: 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., 23:1 (2018), 120–126
Citation in format AMSBIB
\Bibitem{StaDvoAst18}
\by Nataliya V. Stankevich, Anton Dvorak, Vladimir Astakhov, Patrycja Jaros, Marcin Kapitaniak, Przemyslaw Perlikowski, Tomasz Kapitaniak
\paper Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 1
\pages 120--126
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\crossref{https://doi.org/10.1134/S1560354718010094}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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