文献类型：期刊文献

英文题名：Dislocated function projective partial synchronization between dynamical systems

作者：De-kui, Li[1];Xing-min, Wei[2]

第一作者：De-kui, Li

通信作者：De-kui, L[1]

机构：[1]Gansu Univ Chinese Med, Dept Sci Teaching, Dingxi campus, Dingxi 743000, Gansu, Peoples R China;[2]Gansu Univ Chinese Med, Sch Publ Hlth, Lanzhou 730000, Gansu, Peoples R China

第一机构：甘肃中医药大学定西校区

通信机构：[1]corresponding author), Gansu Univ Chinese Med, Dept Sci Teaching, Dingxi campus, Dingxi 743000, Gansu, Peoples R China.|[10735c915ec3c5bdc1d21]甘肃中医药大学定西校区;[10735]甘肃中医药大学;

年份：2023

卷号：66

起止页码：919

外文期刊名：ALEXANDRIA ENGINEERING JOURNAL

收录：;EI(收录号：20224613132430);Scopus(收录号：2-s2.0-85141871060);WOS:【SCI-EXPANDED(收录号:WOS:000938081600001)】；

基金：Foundation item: Natural Science Foundation of China (No.11161027), Natural Science Foundation of Gansu Province (No. 21JR1RA259, No.20JR10RA329).

语种：英文

外文关键词：Dynamical systems; DFPPS; GDFPPS; Synchronous time series

摘要：By generalizing the classical Lorenz chaotic system, we construct the n-dimension and m-dimension dynamical systems as the drive system and response one respectively. And then we pre-sent the definitions of the dislocated function projective partial synchronization (DFPPS) and gen-eral dislocated function projective partial synchronization (GDFPPS) between the two dynamical systems. Based on Lyapunov stability theorem the controllers to realize DFPPS and GDFPPS of the two dynamical systems can be obtained in indeterminate equations. We find that no matter what dynamical behaviors the two systems have, their DFPPS and GDFPPS can be realized by control-ling to partial variables (even one variable) of the response system. Three numerical examples are presented to illustrate the correctness and effectiveness of the studied results. Simultaneously, in the process of realizing GDFPPS of systems, it is important that we get a pair of more complicated time series about chaotic synchronization.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).