Title :
Distributional chaos in coupled map lattices
Author :
Wang, Lidong ; Li, Bing ; Chu, Zhenyan
Author_Institution :
Math. Dept., Dalian Nat. Univ., Dalian, China
Abstract :
This paper is mainly concerned with coupled map lattice (CML) of the form xm+1,n=(1-epsiv)f(xm,n)+0.5epsiv{f(xm,n-1)+f(xm,n+1)} where f:RrarrR is a continuous function and misinN0={0, 1,hellip} and nisinZ={hellip, -1, 0, 1,hellip}. A new definition of chaos on recurrent points set in discrete spatiotemporal systems is given and one sufficient condition for this system to be distributionally chaotic is derived.
Keywords :
chaos; lattice theory; set theory; spatiotemporal phenomena; continuous function; coupled map lattices; discrete spatiotemporal system; discrete spatiotemporal systems; distributional chaos; Chaos; Interference; Lattices; Partial response channels; Sociology; Spatiotemporal phenomena; Sufficient conditions; Coupled map lattices; Discrete spatiotemporal system; Distributional chaos;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5192877