Geodesic
On the typicity of the explosive synchronization phenomenon in oscillator networks with the link topology of the "ring" and "small world" types
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 31 (2023) no. 1, pp. 32-44

Voir la notice de l'article provenant de la source Math-Net.Ru

Purpose of this study is to investigate the problem of how typical (or, conversely, unique) is the phenomenon of explosive synchronization in networks of nonlinear oscillators with topologies of links such as "ring" and "small world", and, in turn, how the partial frequencies of the interacting oscillators must correlate with each other for the phenomenon of explosive synchronization in these networks can be possible. Methods. In this paper, we use an analytical description of the synchronous behavior of networks of nonlinear elements with "ring" and "small world" link topologies. To confirm the obtained results the numerical simulation is used. Results. It is shown that in networks of nonlinear oscillators with topologies of links such as "ring" and "small world", the phenomenon of explosive synchronization can be observed for the different distributions of partial frequencies of network oscillators. Conclusion. The paper considers an analytical description of the behavior of network oscillators with "ring" and "small world" topologies of links and shows that the phenomenon of explosive synchronization in such networks is atypical, but not unique.
Keywords: explosive synchronization phenomenon, Kuramoto oscillators, nonlinear element networks, small-world topology, ring topology, partial frequencies. 
@article{IVP_2023_31_1_a3,
     author = {A. A. Koronovskii and M. K. Kurovskaya and O. I. Moskalenko},
     title = {On the typicity of the explosive synchronization phenomenon in oscillator networks with the link topology of the "ring" and "small world" types},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {32--44},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2023_31_1_a3/}
}
TY  - JOUR
AU  - A. A. Koronovskii
AU  - M. K. Kurovskaya
AU  - O. I. Moskalenko
TI  - On the typicity of the explosive synchronization phenomenon in oscillator networks with the link topology of the "ring" and "small world" types
JO  - Izvestiya VUZ. Applied Nonlinear Dynamics
PY  - 2023
SP  - 32
EP  - 44
VL  - 31
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVP_2023_31_1_a3/
LA  - ru
ID  - IVP_2023_31_1_a3
ER  - 
%0 Journal Article
%A A. A. Koronovskii
%A M. K. Kurovskaya
%A O. I. Moskalenko
%T On the typicity of the explosive synchronization phenomenon in oscillator networks with the link topology of the "ring" and "small world" types
%J Izvestiya VUZ. Applied Nonlinear Dynamics
%D 2023
%P 32-44
%V 31
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVP_2023_31_1_a3/
%G ru
%F IVP_2023_31_1_a3
A. A. Koronovskii; M. K. Kurovskaya; O. I. Moskalenko. On the typicity of the explosive synchronization phenomenon in oscillator networks with the link topology of the "ring" and "small world" types. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 31 (2023) no. 1, pp. 32-44. http://geodesic.mathdoc.fr/item/IVP_2023_31_1_a3/