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Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators. / Stankevich, Nataliya V.; Dvorak, Anton; Astakhov, Vladimir; Jaros, Patrycja; Kapitaniak, Marcin; Perlikowski, Przemysław; Kapitaniak, Tomasz.

In: Regular and Chaotic Dynamics, Vol. 23, No. 1, 01.01.2018, p. 120-126.

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

Harvard

Stankevich, NV, Dvorak, A, Astakhov, V, Jaros, P, Kapitaniak, M, Perlikowski, P & Kapitaniak, T 2018, 'Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators', Regular and Chaotic Dynamics, vol. 23, no. 1, pp. 120-126. https://doi.org/10.1134/S1560354718010094

APA

Stankevich, N. V., Dvorak, A., Astakhov, V., Jaros, P., Kapitaniak, M., Perlikowski, P., & Kapitaniak, T. (2018). Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators. Regular and Chaotic Dynamics, 23(1), 120-126. https://doi.org/10.1134/S1560354718010094

Vancouver

Stankevich NV, Dvorak A, Astakhov V, Jaros P, Kapitaniak M, Perlikowski P et al. Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators. Regular and Chaotic Dynamics. 2018 Jan 1;23(1):120-126. https://doi.org/10.1134/S1560354718010094

Author

Stankevich, Nataliya V. ; Dvorak, Anton ; Astakhov, Vladimir ; Jaros, Patrycja ; Kapitaniak, Marcin ; Perlikowski, Przemysław ; Kapitaniak, Tomasz. / Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators. In: Regular and Chaotic Dynamics. 2018 ; Vol. 23, No. 1. pp. 120-126.

BibTeX

@article{be0a4dc1ccad4e76acd5a569f584b3be,
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.",
keywords = "chaos, hyperchaos, Toda oscillator",
author = "Stankevich, {Nataliya V.} and Anton Dvorak and Vladimir Astakhov and Patrycja Jaros and Marcin Kapitaniak and Przemys{\l}aw Perlikowski and Tomasz Kapitaniak",
note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = jan,
day = "1",
doi = "10.1134/S1560354718010094",
language = "English",
volume = "23",
pages = "120--126",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators

AU - Stankevich, Nataliya V.

AU - Dvorak, Anton

AU - Astakhov, Vladimir

AU - Jaros, Patrycja

AU - Kapitaniak, Marcin

AU - Perlikowski, Przemysław

AU - Kapitaniak, Tomasz

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

PY - 2018/1/1

Y1 - 2018/1/1

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 - http://www.scopus.com/inward/record.url?scp=85041408796&partnerID=8YFLogxK

U2 - 10.1134/S1560354718010094

DO - 10.1134/S1560354718010094

M3 - Article

AN - SCOPUS:85041408796

VL - 23

SP - 120

EP - 126

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 1

ER -

ID: 86485454