Open AccessPrecise planement of all Lyapunov exponents for discrete-time dynamical systems
Author(s) -
Chen Xu,
Qiu Shui-sheng
Publication year - 2010
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.59.7630
Subject(s) - lyapunov exponent , controller (irrigation) , dynamical systems theory , control theory (sociology) , simple (philosophy) , chaotic , computer science , lyapunov function , dynamical system (definition) , discrete time and continuous time , set (abstract data type) , lyapunov equation , mathematics , control (management) , nonlinear system , physics , philosophy , statistics , epistemology , quantum mechanics , artificial intelligence , agronomy , biology , programming language
In this paper, a new algorithm for all Lyapunov Exponents precisely configuraling a discrete-time dynamical system is proposed. A given deterministic discrete-time dynamical system can be chaotified by the algorithm. A new feed-back controller is designed via moduling operation. All Lyapunov Exponents of the controlled system are equal to a given set of ones. The new controller is simple and can be used to control or anti-control a chaotic system . The corresponding proof as well as two illustrative examples are presented. The simulation results show the effectiveness of the algorithm.