On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators

2014 ◽  
Vol 19 (3) ◽  
pp. 750-757 ◽  
Author(s):  
Chun Zhang ◽  
Qinsheng Bi ◽  
Xiujing Han ◽  
Zhengdi Zhang
2003 ◽  
Vol 39 (3) ◽  
pp. 1103-1112 ◽  
Author(s):  
Der-Cherng Liaw ◽  
Chau-Chung Song ◽  
Yew-Wen Liang ◽  
Wen-Ching Chung

2008 ◽  
Vol 72 (1-3) ◽  
pp. 341-351 ◽  
Author(s):  
Lixia Duan ◽  
Qishao Lu ◽  
Qinyun Wang

Author(s):  
Javad Alidousti ◽  
Zohre Eskandari ◽  
Zakieh Avazzadeh ◽  
J. A. Tenreiro Machado

2010 ◽  
Vol 63 (1-2) ◽  
pp. 19-33 ◽  
Author(s):  
Viktor Avrutin ◽  
Enric Fossas ◽  
Albert Granados ◽  
Michael Schanz

2016 ◽  
Vol 26 (01) ◽  
pp. 1650010 ◽  
Author(s):  
Alexander P. Kuznetsov ◽  
Ludmila V. Turukina ◽  
Nikolai Yu. Chernyshov ◽  
Yuliya V. Sedova

We consider a system of three interacting van der Pol oscillators with reactive coupling. Phase equations are derived, using proper order of expansion over the coupling parameter. The dynamics of the system is studied by means of the bifurcation analysis and with the method of Lyapunov exponent charts. Essential and physically meaningful features of the reactive coupling are discussed.


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