Volume 84, Number 6, December 2008
Article Number 60001
Number of page(s) 6
Section General
Published online 18 December 2008
EPL, 84 (2008) 60001
DOI: 10.1209/0295-5075/84/60001

Influence of network topology on the abnormal phase order

Yinzuo Zhou, Jie Zhou and Zonghua Liu

Department of Physics, East China Normal University - Shanghai, 200062, PRC

received 9 May 2008; accepted in final form 6 November 2008; published December 2008
published online 18 December 2008

The abnormal phase order of coupled logistic maps, i.e., the ratio of two sequential “up phases" in the total iterations, can be characterized by the direction phase (Phys. Rev. Lett., 84 (2000) 2610). We here consider the case of coupled logistic maps on complex networks and study how the network topology influences the abnormal phase order. Our numerical simulations reveal that the critical point for the appearance of abnormal phase order increases with the coupling strength but decreases with the degree of heterogeneity of complex networks. Moreover, we find that unlike in the case of normal phase order, it is possible for the system to show a periodic window in the case of abnormal phase order, but only within an appropriate range of coupling strengths, and finally, that the heterogeneity can reduce the maximum number of the phase clusters in a given periodic window.

05.45.Ra - Coupled map lattices.
89.75.Fb - Structures and organization in complex systems.
05.45.Xt - Synchronization; coupled oscillators.

© EPLA 2008