Open AccessThe characters of riddled basins in coupled chaotic synchronized maps with addit ive noises
Author(s) -
Ning Tan,
Jianxue Xu,
Yanmei Kang,
Yonghong Chen
Publication year - 2003
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.52.2989
Subject(s) - attractor , structural basin , chaotic , metastability , point (geometry) , fractal , noise (video) , physics , statistical physics , computer science , geology , mathematics , mathematical analysis , geometry , image (mathematics) , artificial intelligence , quantum mechanics , geomorphology
In real systems, because of the inevitable noise, a chaotic synchronized attractor A will turn into a metastable attractor A′ with an average lifetime . We analyze a two-dimensional coupled map with additive noises and find analytica lly that the riddled basin of A′ will disappear when >2T, where T is the duration of an experiment. Acc ording to the characters of the riddled basin without noises, it is found that t he riddled basin will turn into not only a temporal riddled basin but also a reg ular fractal basin. This result is universal in two-dimensional coupled chaotic synchronized maps, and the further numerical calculations can also confirm this point.