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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
On the intersection of a chaotic attractor and a chaotic repeller in the system of two adaptively coupled phase
A A Emelianova1, V I Nekorkin1
1Institute of Applied Physics of RAS, 46 Ulyanov Street, 603950 Nizhny Novgorod, Russia.
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.
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