Geodesic
Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 4, pp. 387-405

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Ensembles of several chaotic Rössler oscillators are considered. It is shown that a typical phenomenon for such systems is the emergence of invariant tori of different and sufficiently high dimension. The possibility of a quasi-periodic Hopf bifurcation and of the cascade of such bifurcations based on tori of increasing dimension is demonstrated. The domains of resonant tori are revealed whose boundaries correspond to a saddle-node bifurcation. Within areas of resonant modes the torus-doubling bifurcations and tori destruction are observed.
Mots-clés : chaos, quasiperiodic oscillations, invariant tori, bifurcations.
Keywords: Lyapunov exponents 
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     author = {Alexander P. Kuznetsov and Natalia A. Migunova and Igor R. Sataev and Julia V. Sedova and Ludmila V. Turukina},
     title = {Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity},
     journal = {Russian journal of nonlinear dynamics},
     pages = {387--405},
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     volume = {10},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2014_10_4_a0/}
}
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Alexander P. Kuznetsov; Natalia A. Migunova; Igor R. Sataev; Julia V. Sedova; Ludmila V. Turukina. Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 4, pp. 387-405. http://geodesic.mathdoc.fr/item/ND_2014_10_4_a0/