Open AccessRIDDLED BASIN IN CHAOTIC SYNCHRONIZATION SYSTEM: LINEAR COUPLED STANDARD TENT MA PS
Author(s) -
Ning Tan,
Yonghong Chen,
Jianxue Xu
Publication year - 2000
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.49.1215
Subject(s) - lyapunov exponent , attractor , chaotic , structural basin , synchronization (alternating current) , bifurcation , coupling (piping) , physics , statistical physics , mathematics , nonlinear system , computer science , mathematical analysis , geology , topology (electrical circuits) , quantum mechanics , materials science , combinatorics , artificial intelligence , paleontology , metallurgy
The riddled basin of the chaotic synchronized attractor in linear coupled standard tent maps is studied and proved.The notion of riddled factor is presented.Acc ording to it,the critical value of the coupling at which locally-globally bifurcation occurs is found and the analytical expression of transverse Lyapunov exponent is also revised.It is shown that in chaotic synchronization the riddled basin plays an important role.