Geodesic
Self-sustained oscillations of dynamical and stochastic systems and their mathematical image --- an attractor
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 107-126

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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
Mots-clés : fluctuations. 
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     title = {Self-sustained oscillations of dynamical and stochastic systems and their mathematical image --- an attractor},
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V. S. Anishchenko; T. E. Vadivasova; G. I. Strelkova. Self-sustained oscillations of dynamical and stochastic systems and their mathematical image --- an attractor. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 107-126. http://geodesic.mathdoc.fr/item/ND_2010_6_1_a6/