Partial and complete periodic synchronization in coupled discontinuous map lattices

doi:10.1088/1674-1056/23/7/070508

Abstract The partial and complete periodic synchronization in coupled discontinuous map lattices consisting of both discontinuous and non-invertible maps are discussed. We classify three typical types of periodic synchronization states, which give rise to different spatiotemporal patterns including static partial periodic synchronization, dynamically periodic synchronization, and complete periodic synchronization patterns. A special prelude dynamics of partial and complete periodic synchronization motion, which is shown by five separated concave curves in the time series plots of the order parameters, is observed. The detailed analysis shows that the special prelude dynamics is induced by the competition between two synchronized clusters, and the analytical expression for the corresponding order parameter is obtained.

Keywords: discontinuous map coupled map lattices periodic synchronization prelude dynamics

Received: 15 December 2013
Revised: 25 February 2014
Accepted manuscript online:

PACS:	05.45.Ra	(Coupled map lattices)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875076) and the Natural Science Foundation of Shaanxi Province, China (Grant No. SJ08A23).

Corresponding Authors: Qu Shi-Xian
E-mail: sxqu@snnu.edu.cn

About author: 05.45.Ra; 05.45.-a

Cite this article:

Yang Ke-Li (杨科利), Chen Hui-Yun (陈会云), Du Wei-Wei (杜伟伟), Jin Tao (金涛), Qu Shi-Xian (屈世显) Partial and complete periodic synchronization in coupled discontinuous map lattices 2014 Chin. Phys. B 23 070508

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Partial and complete periodic synchronization in coupled discontinuous map lattices

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