HIDDEN OSCILLATIONS IN DYNAMICAL SYSTEMS

来源 :The Third International Conference on Dynamics,Vibration and | 被引量 : 0次 | 上传用户：zjjsdsxq

【摘要】

：

　　The widely known problems, where hidden oscillations exist, are discussed: Hilberts 16-th problem, Kolmogorovs problem, Aizerman and Kalman conjectures.The

【作者】

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Gennady A.Leonov

【机构】

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St.PetersburgStateUniversity,Russia

【出处】

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The Third International Conference on Dynamics,Vibration and

【发表日期】

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2010年5期

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　　The widely known problems, where hidden oscillations exist, are discussed: Hilberts 16-th problem, Kolmogorovs problem, Aizerman and Kalman conjectures.The effective methods of search of hidden oscillations are described: the method of asymptotical integration of solutions of Lienard equation together with algorithms of numerical computation of Lyapunov quantities and a special method of harmonic Linearization united with the applied theory of bifurcations.

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HIDDEN OSCILLATIONS IN DYNAMICAL SYSTEMS

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