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Article
Synchronization Regimes in an Ensemble of Phase Oscillators Coupled Through a Diffusion Field
We consider an ensemble of identical phase oscillators coupled through a common diffusion field. Using the Ott–Antonsen reduction, we develop dynamical equations for the complex local order parameter and the m...
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Article
Spatiotemporal Regimes in the Kuramoto–Battogtokh System of Nonidentical Oscillators
We consider the spatiotemporal states of an ensemble of nonlocally coupled nonidentical phase oscillators, which correspond to different regimes of the long-term evolution of such a system. We have obtained ho...
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Article
Phase Control for the Dynamics of Connected Rotators
We study the dynamics of rotational motions in a system of two asymmetrically coupled pendulum-type systems, investigating the mechanisms of losing stability for in-phase rotational motion. We analyze the scen...
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Article
Breathing chimera in a system of phase oscillators
Chimera states consisting of synchronous and asynchronous domains in a medium of nonlinearly coupled phase oscillators have been considered. Stationary inhomogeneous solutions of the Ott–Antonsen equation for ...
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Article
Collective dynamics of rotators coupled by a common pulsed field
The collective dynamics in an ensemble of active rotators coupled by a common pulsed field is studied. The dynamics of the ensemble is analyzed numerically for different values of system parameters. The calcul...
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Article
1,3-Dimethyl-4,4-dichloro-5-pyrazolone