Abstract:
We consider the dynamics of a ring of nonlocally coupled logistic maps when varying the coupling coefficient. We introduce the coupling function, which characterizes the impact of nonlocal neighbors and study its dynamics together with the dynamics of the whole ensemble. Conditions for the transition from complete chaotic synchronization to partial one are analyzed and the corresponding theoretical estimation of the bifurcation parameter σ is given. Conditions for the appearance of phase and amplitude chimera states are also studied.
Citation:
N. I. Semenova, V. S. Anishchenko, “Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble”, Nelin. Dinam., 12:3 (2016), 295–309
\Bibitem{SemAni16}
\by N.~I.~Semenova, V.~S.~Anishchenko
\paper Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 3
\pages 295--309
\mathnet{http://mi.mathnet.ru/nd528}
\crossref{https://doi.org/10.20537/nd1603001}
\elib{https://elibrary.ru/item.asp?id=27328715}
Linking options:
https://www.mathnet.ru/eng/nd528
https://www.mathnet.ru/eng/nd/v12/i3/p295
This publication is cited in the following 2 articles:
G. I. Strelkova, V. S. Anishchenko, “Spatio-temporal structures in ensembles of coupled chaotic systems”, Phys. Usp., 63:2 (2020), 145–161
M. P. Kulakov, E. Ya. Frisman, “Klasterizatsiya i khimery v modeli prostranstvenno-vremennoi dinamiki populyatsii s vozrastnoi strukturoi”, Nelineinaya dinam., 14:1 (2018), 13–31
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