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Published on: August 25, 2023
Effect of noise on the collective dynamics of a heterogeneous population of active rotators
V V Klinshov1, D A Zlobin1, B S Maryshev2
1Institute of Applied Physics of the Russian Academy of Sciences, Ulyanova Street 46, 603950 Nizhny Novgorod, Russia.
Abstract:
We study the collective dynamics of a heterogeneous population of globally coupled active rotators subject to intrinsic noise. The theory is constructed on the basis of the circular cumulant approach, which yields a low-dimensional model reduction for the macroscopic collective dynamics in the thermodynamic limit of an infinitely large population. With numerical simulation, we confirm a decent accuracy of the model reduction for a moderate noise strength; in particular, it correctly predicts the location of the bistability domains in the parameter space.
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