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    Self-sustained oscillations of dynamical and stochastic systems and their mathematical image — an attractor

    2010, Vol. 6, No. 1, pp.  107-126

    Author(s): Anishchenko V. S., Vadivasova T. E., Strelkova G. I.

    In the present paper autonomous and nonautonomous oscillations of dynamical and stochastic systems are analyzed in the framework of common concepts. The definition of an attractor is introduced for a nonautonomous system. The definitions of self-sustained oscillations and a self-sustained oscillatory system is proposed, that generalize A.A.Andronov’s concept introduced for autonomous systems with one degree of freedom.
    Keywords: self-sustained oscillations, dynamical chaos, attractor, fluctuations
    Citation: Anishchenko V. S., Vadivasova T. E., Strelkova G. I., Self-sustained oscillations of dynamical and stochastic systems and their mathematical image — an attractor, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 1, pp.  107-126
    DOI:10.20537/nd1001008


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