Open AccessSprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization
Author(s) -
Chunbiao Li,
Ke Xu,
Hao Wen
Publication year - 2011
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.60.120504
Subject(s) - lyapunov exponent , synchronization (alternating current) , synchronization of chaos , constant (computer programming) , control theory (sociology) , realization (probability) , nonlinear system , lyapunov function , amplitude , chaos (operating system) , term (time) , function (biology) , control of chaos , physics , computer science , mathematics , topology (electrical circuits) , control (management) , quantum mechanics , statistics , computer security , combinatorics , artificial intelligence , evolutionary biology , biology , programming language
Chaos realization in Sprott system depends on the nonlinear function of single absolute term. Under this condition, the chaos in the system is locked with constant Lyapunov exponent spectrum by introducing new control parameters. So the amplitude and the phase of the signal output in the system can be controlled and modulated. Anti-synchronization system is constructed, and anti-synchronization is obtained by introducing only one control term in the response system based on Lyapunov potential function method.