Pattern with kinks and pulses in coupled periodic map lattices.
In this paper, we reinvestigate the period doubling of kink-antikink patterns in coupled periodic logistic map lattices. In contrast to earlier observations, we find an additional mode structure, a pulse. An unusual brushlike bifurcation diagram and an oscillation of the largest Lyapunov exponent versus the coupling are observed. We propose a mode analysis method to analyze the cases of different mode numbers for these two basic modes (kink and pulse). We believe that our investigations can shed improved light on the dynamics of coupled periodic map lattices.
Liu
Weiqing
W
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China.
Wu
Ye
Y
Zou
Wei
W
Xiao
Jinghua
J
Zhan
Meng
M