TY - JOUR
T1 - Synchronization in coupled map lattices with periodic boundary condition
AU - Lin, Wen-Wei
AU - Peng, Chen Chang
AU - Wang, Chern Shuh
PY - 1999/1/1
Y1 - 1999/1/1
N2 - We consider a lattice of coupled logistic maps with periodic boundary condition. We prove that synchronization and almost synchronization occur for the case of 1D lattice with lattice size n = 2, 3, 4 provided the coupling strength c is chosen in a suitable open interval contained in [0, 1/2]. For the case of lattice size n ≥ 4, we also show the numerical results of (almost) synchronized chaotic behavior of the coupled map lattice. For each fixed parameter γ ∈[3.57, 4] of the logistic maps, the lattice sizes and the ranges of the coupling strengths c so that the coupled map lattice is synchronized, are given.
AB - We consider a lattice of coupled logistic maps with periodic boundary condition. We prove that synchronization and almost synchronization occur for the case of 1D lattice with lattice size n = 2, 3, 4 provided the coupling strength c is chosen in a suitable open interval contained in [0, 1/2]. For the case of lattice size n ≥ 4, we also show the numerical results of (almost) synchronized chaotic behavior of the coupled map lattice. For each fixed parameter γ ∈[3.57, 4] of the logistic maps, the lattice sizes and the ranges of the coupling strengths c so that the coupled map lattice is synchronized, are given.
UR - http://www.scopus.com/inward/record.url?scp=0033176984&partnerID=8YFLogxK
U2 - 10.1142/S0218127499001139
DO - 10.1142/S0218127499001139
M3 - Article
AN - SCOPUS:0033176984
VL - 9
SP - 1635
EP - 1652
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
SN - 0218-1274
IS - 8
ER -