Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Bolotov, M A"'
Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera and cluster splay states. Yet, understanding which rhythm prevails remains challenging. Here, we address this fundamental question in the context of Kuramoto-Sa
Externí odkaz:
http://arxiv.org/abs/2212.06758
Solitary states emerge in oscillator networks when one oscillator separates from the fully synchronized cluster and becomes incoherent with the rest of the network. Such chimera-type patterns with an incoherent state formed by a single oscillator wer
Externí odkaz:
http://arxiv.org/abs/2112.06484
We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto-Battogtokh model. We demonstrate that for a finite diffusion stable chimera
Externí odkaz:
http://arxiv.org/abs/2111.13177
Publikováno v:
Phys. Rev. E 104, 034205 (2021)
We consider an array of non-locally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto-Battogtokh chimera regime and a synchronous state. We demonstrate that disorder in oscillators positions leads to a transition from
Externí odkaz:
http://arxiv.org/abs/2104.03703
The study of deterministic chaos continues to be one of the important problems in the field of nonlinear dynamics. Interest in the study of chaos exists both in low-dimensional dynamical systems and in large ensembles of coupled oscillators. In this
Externí odkaz:
http://arxiv.org/abs/2012.06223
The collective behavior of the ensembles of coupled nonlinear oscillator is one of the most interesting and important problems in modern nonlinear dynamics. In this paper, we study rotational dynamics, in particular space-time structures, in locally
Externí odkaz:
http://arxiv.org/abs/2011.00972
Publikováno v:
Physica D 402, 132266, 2020
We consider the rotational dynamics in an ensemble of globally coupled identical pendulums. This model is essentially a generalization of the standard Kuramoto model, which takes into account the inertia and the intrinsic nonlinearity of the communit
Externí odkaz:
http://arxiv.org/abs/1812.05141
This article studies the rotational dynamics of three identical coupled pendulums. There exist two parameter areas where the in-phase rotational motion is unstable and out-of-phase rotations are realized. Asymptotic theory is developed that allows to
Externí odkaz:
http://arxiv.org/abs/1807.00783
We consider two coupled populations of leaky integrate-and-fire neurons. Depending on the coupling strength, mean fields generated by these populations can have incommensurate frequencies, or become frequency locked. In the observed 2:1 locking state
Externí odkaz:
http://arxiv.org/abs/1512.02811
Autor:
Bolotov, D. I.1 (AUTHOR), Bolotov, M. I.1 (AUTHOR) maksim.bolotov@itmm.unn.ru, Smirnov, L. A.1,2 (AUTHOR), Osipov, G. V.1 (AUTHOR), Pikovsky, A. S.1,3 (AUTHOR)
Publikováno v:
Radiophysics & Quantum Electronics. Mar2022, Vol. 64 Issue 10, p709-725. 17p.
