標題: FASTEST SYNCHRONIZED NETWORK AND SYNCHRONY ON THE JULIA SET OF COMPLEX-VALUED COUPLED MAP LATTICES
作者: Liang, Yu-Hao
Wu, Wan-Rou
Juang, Jonq
應用數學系
Department of Applied Mathematics
關鍵字: Complex-valued coupled map lattices;Julia set;fastest synchronized network
公開日期: 1-一月-2016
摘要: The purpose of this paper is to address synchronous chaos on the Julia set of complex-valued coupled map lattices (CCMLs). Our main results contain the following. First, we solve an inf min max problem for which its solution gives the fastest synchronized rate in a certain class of coupling matrices. Specifically, we show that for the class of real circulant matrices of size 4, the coupling weights, possible complex numbers, yielding the fastest synchronized rate can be exactly obtained. Second, for individual map of the form f(c)(z) = z(2) vertical bar c with vertical bar c vertical bar < 1/4 we show that the corresponding CCMLs acquires global synchrony on its Julia set with the number of the oscillators being 3 or 4 for the diffusive coupling. For c = 0 and 2, the corresponding CCMLs obtain local synchronization if and only if the number of oscillators is less than or equal to 5. Global synchronization for the individual map of the form g(c)(z) = z(3) + cz is also reported.
URI: http://dx.doi.org/10.3934/dcdsb.2016.21.173
http://hdl.handle.net/11536/129330
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2016.21.173
期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume: 21
起始頁: 173
結束頁: 184
顯示於類別:期刊論文