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^* (Corresponding Author)
, 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

31 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
DOIs	https://doi.org/10.1134/S1560354718010094
Publication status	Published - 5 Feb 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).

Funding

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).

Keywords

chaos
hyperchaos
Toda oscillator

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title = "Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators",

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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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). ",

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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).

PY - 2018/2/5

Y1 - 2018/2/5

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.

KW - chaos

KW - hyperchaos

KW - Toda oscillator

UR - https://www.scopus.com/pages/publications/85041408796

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M3 - Article

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JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

ER -

Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

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