Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback
نویسندگان
چکیده
منابع مشابه
Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control ✩
The stability and bifurcation of a van der Pol-Duffing oscillator with the delay feedback are investigated, in which the strength of feedback control is a nonlinear function of delay. A geometrical method in conjunction with an analytical method is developed to identify the critical values for stability switches and Hopf bifurcations. The Hopf bifurcation curves and multi-stable regions are obt...
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In this paper, we study dynamics in delayed van der Pol–Duffing equation, with particular attention focused on nonresonant double Hopf bifurcation. Both multiple time scales and center manifold reduction methods are applied to obtain the normal forms near a double Hopf critical point. A comparison between these two methods is given to show their equivalence. Bifurcations are classified in a two...
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ژورنال
عنوان ژورنال: Shock and Vibration
سال: 2018
ISSN: 1070-9622,1875-9203
DOI: 10.1155/2018/7213606