Open AccessOrder patterns of spatiotemporal chaos
Author(s) -
Jing Guo,
Yue Wang,
Shan Xiu-Ming,
YongXiang Ren
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.7663
Subject(s) - chaotic , coupling (piping) , piecewise linear function , correctness , interval (graph theory) , statistical physics , order (exchange) , chaos (operating system) , monotone polygon , coupling strength , attractor , chaotic map , computer science , mathematics , physics , mathematical analysis , algorithm , geometry , artificial intelligence , combinatorics , finance , economics , mechanical engineering , computer security , engineering , condensed matter physics
Based on piecewise monotone interval maps and linear coupling, we study order patterns of spatiotemporal chaos. The forbidden patterns are found to arise mainly from the reduction of curve intersections due to time invariance of chaotic maps. It is proved that linear couplings may destroy the time invariance, and create the conditions for increasing intersections. We analyze the effects of chaotic map, coupling strength and coupling number order patterns. Simulation results and illustrative examples all confirm the correctness of the theoretical results.