Generalized Turing Patterns and Their Selective Realization in Spatiotemporal Systems
斑图形成与孤子
2009-11-10 v1 混沌动力学
摘要
We consider the pattern formation problem in coupled identical systems after the global synchronized state becomes unstable. Based on analytical results relating the coupling strengths and the instability of each spatial mode (pattern) we show that these spatial patterns can be selectively realized by varying the coupling strengths along different paths in the parameter space. Furthermore, we discuss the important role of the synchronized state (fixed point versus chaotic attractor) in modulating the temporal dynamics of the spatial patterns.
引用
@article{arxiv.nlin/0303030,
title = {Generalized Turing Patterns and Their Selective Realization in Spatiotemporal Systems},
author = {Govindan Rangarajan and Yonghong Chen and Mingzhou Ding},
journal= {arXiv preprint arXiv:nlin/0303030},
year = {2009}
}
备注
9 pages, 3 figures