Zobrazeno 1 - 10
of 483
pro vyhledávání: '"Smirnov, L. P."'
We analyze the synchronization dynamics of the thermodynamically large systems of globally coupled phase oscillators under Cauchy noise forcings with bimodal distribution of frequencies and asymmetry between two distribution components. The systems w
Externí odkaz:
http://arxiv.org/abs/2212.05858
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
Autor:
Smirnov, L., Pikovsky, A.
We consider a one-dimensional array of phase oscillators coupled via an auxiliary complex field. While in the seminal chimera studies by Kumamoto and Battogtokh only diffusion of the field was considered, we include advection which makes the coupling
Externí odkaz:
http://arxiv.org/abs/2209.00723
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
We study the quantum properties of light propagating through an array of coupled nonlinear waveguides and forming a discrete soliton. We demonstrate that it is possible to use certain types of quasi-solitons to form continuous variables entanglement
Externí odkaz:
http://arxiv.org/abs/2011.07662
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
We study populations of globally coupled noisy rotators (oscillators with inertia) allowing a nonequilibrium transition from a desynchronized state to a synchronous one (with the non-vanishing order parameter). The newly developed analytical approach
Externí odkaz:
http://arxiv.org/abs/1912.01468