Three-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators

Stankevich Nataliya V., Shchegoleva Natalya A., Sataev Igor R., Kuznetsov Alexander P. Three-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators. Journal of Computational and Nonlinear Dynamics , 2020 , 15 (11). ISSN 1555-1415

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Аннотация

Using an example a system of two coupled generators of quasiperiodic oscillations, we study the occurrence of chaotic dynamics with one positive, two zero and several negative Lyapunov exponents. It is shown that such dynamic arises as a result of a sequence of bifurcations of two-frequency torus doubling and involve saddle tori occurring at their doublings. This transition is associated with typical structure of parameter plane, like cross-road area and shrimp-shaped structures, based on the two-frequency quasiperiodic dynamics. Using double Poincar´e section we have shown destruction of three-frequency torus.

Тип объекта:	Статья
Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!:	Станкевич Н.В. Щеголева Н.А. Сатаев И.Р. Кузнецов А.П.
Подразделения (можно выбрать несколько, удерживая Ctrl):	СФ-7 лаб. теоретической нелинейной динамики
URI:	http://cplire.ru:8080/id/eprint/8735

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