Zobrazeno 1 - 10
of 20
pro vyhledávání: '"M I Bolotov"'
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
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
Publikováno v:
Radiophysics and Quantum Electronics. 64:709-725
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::118366ccbfcb820f92310a02938c5c9f
https://doi.org/10.1007/s11141-022-10173-4
https://doi.org/10.1007/s11141-022-10173-4
Publikováno v:
Nonlinear Dynamics. 104:2117-2125
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:
https://explore.openaire.eu/search/publication?articleId=doi_________::877efa5dcb7852c68af05579c252b0ba
https://doi.org/10.1007/s11071-021-06419-x
https://doi.org/10.1007/s11071-021-06419-x
Publikováno v:
Journal of Experimental and Theoretical Physics. 132:127-147
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 homogeneous, twisted, and nonhomogeneous st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bbbd626e1de48b88aafb4bc4fc2c080
https://doi.org/10.1134/s1063776121010106
https://doi.org/10.1134/s1063776121010106
Publikováno v:
Cybernetics and Physics. :215-221
We study the problem of robustness of synchronous states to disorder in the chain of phase oscillators with local coupling. The study combines a numerical determination of the existence and stability of synchronous states with an analytical investiga
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a4871d4baae676e86e6b5438b169162
https://doi.org/10.35470/2226-4116-2019-8-4-215-221
https://doi.org/10.35470/2226-4116-2019-8-4-215-221
Publikováno v:
Regular and Chaotic Dynamics. 24:717-724
We study the dynamics of the ring of identical phase oscillators with nonlinear nonlocal coupling. Using the Ott - Antonsen approach, the problem is formulated as a system of partial derivative equations for the local complex order parameter. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f6665c6ead560c2e9b58ca1b38fd410
https://doi.org/10.1134/s1560354719060091
https://doi.org/10.1134/s1560354719060091
Publikováno v:
Physical review. E. 104(3-1)
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3642b05fac79cb719a10cc9286fe1d0e
https://pubmed.ncbi.nlm.nih.gov/34654180
https://pubmed.ncbi.nlm.nih.gov/34654180
We study how a chimera state in a one-dimensional medium of nonlocally coupled oscillators responds to a homogeneous in space periodic in time external force. On a macroscopic level, where a chimera can be considered as an oscillating object, forcing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6408c719d59aa70396977ff73da8e3e
http://arxiv.org/abs/1912.06546
http://arxiv.org/abs/1912.06546
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 31:063106
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f7a5e23630ca7d12a087e077fcfc588
https://doi.org/10.1063/5.0044521
https://doi.org/10.1063/5.0044521