Geodesic
Dynamics and synchronization of the three coupled oscillators with reactive type of coupling
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 11-25

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A phenomenon of interaction between three reactively coupled van der Pol oscillators is considered in the paper. Phase equations are being obtained in second order approximation. Bifurcation analysis and Lyapunov's exponent maps are used for illustrating system behavior. The paper consider significant features of reactive coupling. Complicated original system behavior with steering parameter growth is being considered too.
Keywords: synchronization, quasi-periodical oscillations
Mots-clés : bifurcations, chaos. 
@article{ND_2013_9_1_a1,
     author = {Alexander P. Kuznetsov and Ludmila V. Turukina and Nikolay Yu. Chernyschov},
     title = {Dynamics and synchronization of the three coupled oscillators with reactive type of coupling},
     journal = {Russian journal of nonlinear dynamics},
     pages = {11--25},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2013_9_1_a1/}
}
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Alexander P. Kuznetsov; Ludmila V. Turukina; Nikolay Yu. Chernyschov. Dynamics and synchronization of the three coupled oscillators with reactive type of coupling. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 11-25. http://geodesic.mathdoc.fr/item/ND_2013_9_1_a1/