Hyperchaos in Oscillating Systems with Limited Excitation
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Дата
2019
Науковий керівник
Назва журналу
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Назва тому
Видавець
Springer, Cham
Анотація
The oscillating systems of a pendulum type, nonideal in the sense of Sommerfeld-Kononenko are considered. Such systems are used for modeling oscillations in hydrodynamics, shell theory and other applications. The complex scenario of transition to the hyperchaos is revealed and described in details. Revealed scenario
begins with symmetric limit cycles and ends with a transition to hyperchaos through generalized intermittency with two coarse grained laminar phases. This scenario is illustrated in detail by projections of phase portraits, Poincaré sections and other characteristics of attractors of the system.
Опис
Ключові слова
Limited excitation, Chaotic and hyperchaotic attractor, Poincaré section, Scenario of transition to chaos
Бібліографічний опис
Shvets, A. Hyperchaos in Oscillating Systems with Limited Excitation / A. Shvets, V. Sirenko // 11th Chaotic Modeling and Simulation International Conference, Springer Proceedings in Complexity / Springer Nature Switzerland AG 2019. - Springer, Cham, 2019. - P. 265-273.