Abstract
Mathematical models of a deterministic dynamic system of the type analog generator–piezoelectric transducer are considered taking into account the influence of delay. A technique for searching for hidden and rare attractors of such system is proposed. Two approaches to the study of systems with delay are analyzed. The transformations of hidden attractors into self-excited ones, and rare attractors into non rare ones and vice versa are studied. The pairs of regular attractor—chaotic attractor are studied in point of view of their qualifications in terms of “hidden” and “rare”. Symmetry was revealed in the scenarios of the transition from regular attractors to chaotic attractors. The effect of delay on the regular and chaotic dynamics of the system is investigated.
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Shvets, A., Donetskyi, S. (2021). Identification of Hidden and Rare Attractors in Some Electroelastic Systems with Limited Excitation. 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_60
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