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Mathematical problems of nonlinearity
Peculiarities of Synchronization
in a Two-Layer Network of Chaotic Maps
with Inhomogeneous Interlayer Coupling
T. R. Bogatenko, A. V. Bukh, G. I. Strelkova Saratov State University,
ul. Astrakhanskaya 83, Saratov, 410012 Russia
Abstract:
This paper considers the effects of forced and mutual synchronization of complex spatiotemporal
structures in a two-layer network of nonlocally coupled logistic maps in the presence of
inhomogeneous interlayer coupling. Two different types of coupling topology are considered: the
first one is the sparse interlayer coupling with randomly distributed coupling defects, and the
second type is the cluster interlayer coupling, providing the coupling via designated finite groups
of elements. The latter type of coupling topology is considered for the first time. As a quantitative
measure of the synchronization effect on the network, variance averaged over time and variance
averaged both over time and network elements are used. We analyze how the synchronization
measure changes depending on a degree of the interlayer coupling sparseness. We also identify
a cluster of network elements which can provide almost complete synchronization in the network
under study when the interlayer coupling is introduced along them.
Keywords:
synchronization, sparse links, chimera state, multilayer network, interlayer coupling.
Received: 26.02.2021 Accepted: 22.03.2021
Citation:
T. R. Bogatenko, A. V. Bukh, G. I. Strelkova, “Peculiarities of Synchronization
in a Two-Layer Network of Chaotic Maps
with Inhomogeneous Interlayer Coupling”, Rus. J. Nonlin. Dyn., 17:1 (2021), 103–117
Linking options:
https://www.mathnet.ru/eng/nd744 https://www.mathnet.ru/eng/nd/v17/i1/p103
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Abstract page: | 118 | Full-text PDF : | 41 | References: | 26 |
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