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On the intersection of a chaotic attractor and a chaotic repeller in the system of two adaptively coupled phase oscillators.

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We report on the phenomenon of intersection of a chaotic attractor and a chaotic repeller in a system of two adaptively coupled phase oscillators. This is a feature of the… Click to show full abstract

We report on the phenomenon of intersection of a chaotic attractor and a chaotic repeller in a system of two adaptively coupled phase oscillators. This is a feature of the presence of the so-called mixed dynamics, which is a new type of chaos characterized by the fundamental inseparability of conservative and dissipative behavior. The considered system is the first example of a time-irreversible system in which this type of dynamics is observed. We show that a crucial factor in this effect is the detuning of the natural frequencies of phase oscillators.

Keywords: attractor chaotic; system; intersection chaotic; chaotic attractor; chaotic repeller; phase oscillators

Journal Title: Chaos
Year Published: 2019

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