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

Nataliya V. Stankevich^*, Anton Dvorak, Vladimir Astakhov, Patrycja Jaros, Marcin Kapitaniak, Przemysław Perlikowski, Tomasz Kapitaniak

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

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.

Original language	English
Pages (from-to)	120-126
Number of pages	7
Journal	Regular and Chaotic Dynamics
Volume	23
Issue number	1
DOIs	https://doi.org/10.1134/S1560354718010094
Publication status	Published - 1 Jan 2018

Bibliographical note

Funding Information:
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).

Publisher Copyright:
© 2018, Pleiades Publishing, Ltd.

Keywords

chaos
hyperchaos
Toda oscillator

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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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AU - Stankevich, Nataliya V.

AU - Dvorak, Anton

AU - Astakhov, Vladimir

AU - Jaros, Patrycja

AU - Kapitaniak, Marcin

AU - Perlikowski, Przemysław

AU - Kapitaniak, Tomasz

N1 - Funding Information: 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). Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/1/1

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N2 - 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.

AB - 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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Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

Abstract

Bibliographical note

Keywords

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