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