Перегляд за Автор "Shvets, Aleksandr"

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    Chaotic Oscillations of Nonideal Plane Pendulum Systems
    (CMSIM, 2012) Shvets, Aleksandr; Makaseyev, Alexander
    The atlas of maps of dynamic regimes of system ”pendulum–electric motor” is constructed. It is established that the deterministic chaos is a typical steady-state regime of the given system. Its class of Feigenbaum universality is defined. The analytical approximation of a Poincare map in a chaotic regime is discovered.
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    Generalized scenarios of transition to chaos in ideal dynamic systems
    (КПІ ім. Ігоря Сікорського, 2024) Horchakov, Oleksii; Shvets, Aleksandr
    The implementation of a new scenario of transition to chaos in the classi-cal Lorenz system has been discovered. Signs of the presence of an implementation of the generalized intermittency scenario for dynamic systems are described. Phase-parametric characteristics, Lyapunov characteristic exponents, distributions of in-variant measures, and Poincaré sections are constructed and analyzed in detail, which confirm the implementation of the generalized intermittency scenario in an ideal Lorenz system
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    Hyperchaos in Oscillating Systems with Limited Excitation
    (Springer, Cham, 2019) Shvets, Aleksandr; Sirenko, Vasiliy
    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.
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    Peculiarities of Transition to Chaos in Nonideal Hydrodynamics Systems
    (CMSIM, 2012) Shvets, Aleksandr; Sirenko, Vasiliy
    The nonideal deterministic dynamic system ”tank with a fluid–electromotor” is considered. On the basis of investigation of low-dimensional mathematical model of the given system the map of dynamic regimes is constructed. The study of scenarios of transition to deterministic chaos is carried out. Atypical peculiarities of realization of such scenarios are described.