Volume 84, Number 6, December 2008
|Number of page(s)||6|
|Published online||18 December 2008|
Influence of network topology on the abnormal phase order
Department of Physics, East China Normal University - Shanghai, 200062, PRC
Corresponding author: email@example.com
Accepted: 6 November 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.
PACS: 05.45.Ra – Coupled map lattices / 89.75.Fb – Structures and organization in complex systems / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.