Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity

Alexander P. Kuznetsov ; Natalia A. Migunova ; Igor R. Sataev ; Julia V. Sedova ; Ludmila V. Turukina

Russian journal of nonlinear dynamics, Tome 10 (2014) no. 4, pp. 387-405.

Résumé

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.

Détail

Mots-clés : chaos, quasiperiodic oscillations, invariant tori, bifurcations.
Keywords: Lyapunov exponents

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