Coupled systems with quasi-periodic and chaotic dynamics

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

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: 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.

Keywords: Quasi-periodic oscillations; Dynamical chaos; Rössler system; Lyapunov exponents; chaos with additional zero Lyapunov exponents (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001790

DOI: 10.1016/j.chaos.2023.113278

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