Open AccessCharacteristics of time-delay complex Lorenz chaotic system and its self-synchronization of time delay
Author(s) -
Fangfang Zhang,
Shutang Liu,
Wenwu Yu
Publication year - 2013
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.62.220505
Subject(s) - synchronization (alternating current) , computer science , control theory (sociology) , controller (irrigation) , lorenz system , lag , nonlinear system , chaotic , synchronization of chaos , time lag , chaotic systems , control (management) , physics , telecommunications , artificial intelligence , computer network , channel (broadcasting) , quantum mechanics , agronomy , biology
Self-synchronization of time delay implies that the synchronization between the time-delay system and the original system keeps the structure and parameters of systems unchanged, thus these various problems produced by time-delay in practice are avoided. Taking a time-delay complex Lorenz system for example, we investigate its dynamic characteristics and the influence of of time lag factor. A nonlinear feedback controller is designed to realize the self-synchronization of time delay of the complex Lorenz system. Numerical simulations verify the effectiveness of the presented controller. The controller adopts some states to realize the synchronization of all states. It is simple in principle and easy to implement in engineering.