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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2020, Volume 46, Issue 21, Pages 22–24
DOI: https://doi.org/10.21883/PJTF.2020.21.50191.18418 (Mi pjtf4948) 		 
Mobile dissipative breathers in a chain of non-linear oscillators

K. S. Sergeev, E. M. Elizarov, A. P. Chetverikov

Saratov State University
Full-text PDF (643 kB)
DOI: https://doi.org/10.21883/PJTF.2020.21.50191.18418
Abstract: In a numerical experiment, it was found that in a chain of Raleigh oscillators with a nonlinear connection between them, at least three localized stationary breathers modes may exist: non-mobile, “slow” and “fast” dissipative breathers. The dynamics of the chain elements depends on the ratio of characteristic time scales of the system which determined by the frequency of oscillators and the rigidity of the connection between them. Considered system is multistable.
Keywords: chain of oscillators, active particles, nonlinear system, nonlinear coupling, dissipative discrete breather.
Funding agency Grant number
Russian Foundation for Basic Research 20-52-12004
Russian Science Foundation 20-12-00119
A.P. Chetverikov (development of the mathematical model and description of the attraction basin structure) acknowledges the support of the Russian Foundation for Basic Research within the framework of joint scientific project with the German Research Foundation no. 20-52-12004. K.S. Sergeev (carrying out the numerical experiment and work on the text of the paper) acknowledges the support of the Russian Science Foundation, project no. 20-12-00119.
Received: 10.06.2020
Revised: 10.06.2020
Accepted: 25.07.2020
English version:
Technical Physics Letters, 2020, Volume 46, Issue 11, Pages 1068–1071
DOI: https://doi.org/10.1134/S1063785020110127
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. S. Sergeev, E. M. Elizarov, A. P. Chetverikov, “Mobile dissipative breathers in a chain of non-linear oscillators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 46:21 (2020), 22–24; Tech. Phys. Lett., 46:11 (2020), 1068–1071
Citation in format AMSBIB
\Bibitem{SerEliChe20}
\by K.~S.~Sergeev, E.~M.~Elizarov, A.~P.~Chetverikov
\paper Mobile dissipative breathers in a chain of non-linear oscillators
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2020
\vol 46
\issue 21
\pages 22--24
\mathnet{http://mi.mathnet.ru/pjtf4948}
\crossref{https://doi.org/10.21883/PJTF.2020.21.50191.18418}
\elib{https://elibrary.ru/item.asp?id=44367766}
\transl
\jour Tech. Phys. Lett.
\yr 2020
\vol 46
\issue 11
\pages 1068--1071
\crossref{https://doi.org/10.1134/S1063785020110127}
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