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Эта публикация цитируется в 30 научных статьях (всего в 30 статьях)
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
Аннотация:
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.
Ключевые слова:
chaos, hyperchaos, Toda oscillator.
Поступила в редакцию: 27.07.2017 Принята в печать: 06.10.2017
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd312 https://www.mathnet.ru/rus/rcd/v23/i1/p120
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