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 journalArticlepeer-review

26 Citations (Scopus)


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 languageEnglish
Pages (from-to)120-126
Number of pages7
JournalRegular and Chaotic Dynamics
Issue number1
Publication statusPublished - 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.


  • chaos
  • hyperchaos
  • Toda oscillator


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