标题:Control and synchronization of Mandelbrot sets in coupled map lattice
作者:Liu, Ping
作者机构:[Liu, Ping] Shandong Agr Univ, Shandong Key Lab Gardening Machinery & Equipment, Coll Mech & Elect Engn, Tai An 271018, Shandong, Peoples R China.; 更多
通讯作者:Liu, P
通讯作者地址:[Liu, P]Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Peoples R China.
来源:NONLINEAR DYNAMICS
出版年:2013
卷:73
期:1-2
页码:299-310
DOI:10.1007/s11071-013-0785-z
关键词:CML Mandelbrot set; Synchronization; Gradient control; Optimal control
摘要:This paper gives the definition of Mandelbrot set in a coupled map lattice (CML Mandelbrot set), and studies its control and synchronization. A proper mathematical transform is used to achieve the scaling, with regards to size, of the CML Mandelbrot set without changing its structure properties. Furthermore, two different methods, gradient control and optimal control, are separately applied to realize the synchronization of different CML Mandelbrot sets, that making one CML Mandelbrot set change into another. Numerical simulations show the effectiveness of these controls and the feasibility of achieving synchronization using the two different methods.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:3
Scopus被引频次:4
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84879780703&doi=10.1007%2fs11071-013-0785-z&partnerID=40&md5=59042a976b43308951650fb89f135529
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