Abstract
A number of deterministic dynamic systems that are nonideal according to the Sommerfeld-Kononenko classification are considered. In particular, pendulum, hydrodynamic, and electroelastic systems with limited excitation are considered. The scenarios of transitions to chaos that are possible in the above systems are analyzed. We study both the transitions “regular attractor - chaotic attractor” and the transitions “chaotic attractor of one type - chaotic attractor of another type”. In particular, the “chaos - hyperhaos” and “hyperhaos - hyperhaos” transitions are studied. Ten scenarios of transition to chaos are analyzed in detail. Some of the scenarios were widely known, while others are very unusual and are revealed only in nonideal dynamic systems.
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Shvets, A. (2021). Overview of Scenarios of Transition to Chaos in Nonideal Dynamic Systems. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_59
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DOI: https://doi.org/10.1007/978-3-030-70795-8_59
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