Geodesic
Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 295-309

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

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 $\sigma$ is given. Conditions for the appearance of phase and amplitude chimera states are also studied.
Keywords: chimera states, nonlocal coupling, chaotic synchronization, desynchronization
Mots-clés : one-dimensional ensemble. 
@article{ND_2016_12_3_a0,
     author = {N. I. Semenova and V. S. Anishchenko},
     title = {Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble},
     journal = {Russian journal of nonlinear dynamics},
     pages = {295--309},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2016_12_3_a0/}
}
TY  - JOUR
AU  - N. I. Semenova
AU  - V. S. Anishchenko
TI  - Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble
JO  - Russian journal of nonlinear dynamics
PY  - 2016
SP  - 295
EP  - 309
VL  - 12
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2016_12_3_a0/
LA  - ru
ID  - ND_2016_12_3_a0
ER  - 
%0 Journal Article
%A N. I. Semenova
%A V. S. Anishchenko
%T Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble
%J Russian journal of nonlinear dynamics
%D 2016
%P 295-309
%V 12
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2016_12_3_a0/
%G ru
%F ND_2016_12_3_a0
N. I. Semenova; V. S. Anishchenko. Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble. Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 295-309. http://geodesic.mathdoc.fr/item/ND_2016_12_3_a0/