Partial and complete periodic synchronization in coupled discontinuous map lattices

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

›› 2014, Vol. 23 ›› Issue (7): 70508-070508.doi: 10.1088/1674-1056/23/7/070508

Partial and complete periodic synchronization in coupled discontinuous map lattices

杨科利^{a b}, 陈会云^a, 杜伟伟^a, 金涛^a, 屈世显^a

a Institute of Theoretical and Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China;
b Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China

收稿日期:2013-12-15 修回日期:2014-02-25 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
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).

Partial and complete periodic synchronization in coupled discontinuous map lattices

Yang Ke-Li (杨科利)^{a b}, Chen Hui-Yun (陈会云)^a, Du Wei-Wei (杜伟伟)^a, Jin Tao (金涛)^a, Qu Shi-Xian (屈世显)^a

a Institute of Theoretical and Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China;
b Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China

Received:2013-12-15 Revised:2014-02-25 Online:2014-07-15 Published:2014-07-15
Contact: Qu Shi-Xian E-mail:sxqu@snnu.edu.cn
About author:05.45.Ra; 05.45.-a
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: discontinuous map, coupled map lattices, periodic synchronization, prelude dynamics

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.

Key words: discontinuous map, coupled map lattices, periodic synchronization, prelude dynamics

中图分类号: (Coupled map lattices)

05.45.Ra

05.45.-a (Nonlinear dynamics and chaos)

杨科利, 陈会云, 杜伟伟, 金涛, 屈世显. Partial and complete periodic synchronization in coupled discontinuous map lattices[J]. , 2014, 23(7): 70508-070508.

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[J]. Chin. Phys. B, 2014, 23(7): 70508-070508.

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Partial and complete periodic synchronization in coupled discontinuous map lattices

Partial and complete periodic synchronization in coupled discontinuous map lattices

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