Geodesic
Attraction basins of clusters in coupled map lattices
Russian journal of nonlinear dynamics, Tome 11 (2015) no. 1, pp. 51-76

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

This paper researches a phenomenon of clustering and multistability in a non-global coupled Ricker maps. To construct attraction basins for some phases of clustering we propose a method. For this purpose we consider the several simultaneously possible and fundamentally different trajectories of the system corresponding to different phases of clustering. As a result these phases or trajectories have the unique domains of attraction (basins) in the phase space and stability region in the parametric space. The suggested approach consists in that each a trajectory is approximated the non-identical asymmetric coupled map lattices consisting of fewer equations and equals the number of clusters. As result it is shown the formation and transformation of clusters is the same like a bifurcations leading to birth of asynchronous modes in approximating systems.
Mots-clés : metapopulation
Keywords: multistability, coupled map lattices, clustering, basin of attraction. 
@article{ND_2015_11_1_a1,
     author = {Matvey P. Kulakov and Efim Ya. Frisman},
     title = {Attraction basins of clusters in coupled map lattices},
     journal = {Russian journal of nonlinear dynamics},
     pages = {51--76},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2015_11_1_a1/}
}
TY  - JOUR
AU  - Matvey P. Kulakov
AU  - Efim Ya. Frisman
TI  - Attraction basins of clusters in coupled map lattices
JO  - Russian journal of nonlinear dynamics
PY  - 2015
SP  - 51
EP  - 76
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2015_11_1_a1/
LA  - ru
ID  - ND_2015_11_1_a1
ER  - 
%0 Journal Article
%A Matvey P. Kulakov
%A Efim Ya. Frisman
%T Attraction basins of clusters in coupled map lattices
%J Russian journal of nonlinear dynamics
%D 2015
%P 51-76
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2015_11_1_a1/
%G ru
%F ND_2015_11_1_a1
Matvey P. Kulakov; Efim Ya. Frisman. Attraction basins of clusters in coupled map lattices. Russian journal of nonlinear dynamics, Tome 11 (2015) no. 1, pp. 51-76. http://geodesic.mathdoc.fr/item/ND_2015_11_1_a1/