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Coupled systems with quasi-periodic and chaotic dynamics

Kuznetsov, Alexander P. ; Sedova, Yuliya V. ; Stankevich, Nataliya V.

Chaos, solitons and fractals, 2023-04, Vol.169, p.113278, Article 113278 [Periódico revisado por pares]

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Título:
Coupled systems with quasi-periodic and chaotic dynamics
Autor: Kuznetsov, Alexander P. ; Sedova, Yuliya V. ; Stankevich, Nataliya V.
Assuntos: chaos with additional zero Lyapunov exponents ; Dynamical chaos ; Lyapunov exponents ; Quasi-periodic oscillations ; Rössler system
É parte de: Chaos, solitons and fractals, 2023-04, Vol.169, p.113278, Article 113278
Descrição: The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Rössler system is studied. We have shown that with the growth of the coupling, regimes of two-frequency and three-frequency quasiperiodicity, a periodic regime and a regime of oscillation death sequentially arise. With a small coupling strength, doubling bifurcations of three-frequency tori are observed in the system. A chaotic regime, characterized by two additional zero Lyapunov exponents in spectrum, is revealed. Two-parameter Lyapunov exponent analysis and bifurcation analysis are presented. A new bifurcation scenario of transition from the regime of oscillation death to quasi-periodicity in coupled systems is described.
Editor: Elsevier Ltd
Idioma: Inglês

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