Zobrazeno 1 - 10
of 1 810
pro vyhledávání: '"A Pikovsky"'
Publikováno v:
Journal of Physics: Complexity, Vol 5, Iss 1, p 015019 (2024)
We explore the model of a population of nonlocally coupled identical phase oscillators on a ring (Abrams and Strogatz 2004 Phys. Rev. Lett. 93 174102) and describe traveling patterns. In the continuous in space formulation, we find families of travel
Externí odkaz:
https://doaj.org/article/2fc47dec02cf4b748993f886d4c05280
Autor:
Pikovsky, Arkady, Smirnov, Lev A.
Publikováno v:
Chaos, v. 34, 073120 (2024)
We explore large populations of phase oscillators interacting via random coupling functions. Two types of coupling terms, the Kuramoto-Daido coupling and the Winfree coupling, are considered. Under the assumption of statistical independence of the ph
Externí odkaz:
http://arxiv.org/abs/2404.06193
Publikováno v:
New Journal of Physics, Vol 24, Iss 4, p 043042 (2022)
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 chime
Externí odkaz:
https://doaj.org/article/855c63ee3af847048c1f49cf5e065d11
Autor:
Pikovsky, Arkady, Rosenblum, Michael
We tackle the quantification of synchrony in globally coupled populations. Furthermore, we treat the problem of incomplete observations when the population mean field is unavailable, but only a small subset of units is observed. We introduce a new or
Externí odkaz:
http://arxiv.org/abs/2402.10144
Autor:
Pikovsky, Arkady, Bagnoli, Franco
Publikováno v:
New. J. Physics, v. 26, 023054 (2024)
We study populations of oscillators, all-to-all coupled by means of quenched disordered phase shifts. While there is no traditional synchronization transition with a nonvanishing Kuramoto order parameter, the system demonstrates a specific order as t
Externí odkaz:
http://arxiv.org/abs/2401.00281
Publikováno v:
New Journal of Physics, Vol 22, Iss 2, p 023036 (2020)
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 nonvanishing order parameter). The newly developed analytical approache
Externí odkaz:
https://doaj.org/article/d88eb647c4e34c139d4d3f83e135ebe6
Autor:
Pikovsky, Arkady
Publikováno v:
Chaos, v. 33, 113114 (2023)
We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is time-independent.
Externí odkaz:
http://arxiv.org/abs/2308.08412
Publikováno v:
Chaos 33, 101101 (2023)
Phase reduction is a general approach to describe coupled oscillatory units in terms of their phases, assuming that the amplitudes are enslaved. For such a reduction, the coupling should be small, but one also expects the reduction to be valid for fi
Externí odkaz:
http://arxiv.org/abs/2307.14711
Autor:
Smirnov, Lev A., Pikovsky, Arkady
Publikováno v:
Phys. Rev. Lett., v. 132, 107401 (2024)
We consider a population of globally coupled oscillators in which phase shifts in the coupling are random. We show that in the maximally disordered case, where the pairwise shifts are i.i.d. random variables, the dynamics of a large population reduce
Externí odkaz:
http://arxiv.org/abs/2307.12563
Publikováno v:
Phys. Rev. E 108, 044150, Published 31 October 2023
We study in detail a one-dimensional lattice model of a continuum, conserved field (mass) that is transferred deterministically between neighbouring random sites. The model falls in a wider class of lattice models capturing the joint effect of random
Externí odkaz:
http://arxiv.org/abs/2306.00463