
CHAOTIC MEASURES AND SCALING LAWS FOR SUPERCRITICAL CIRCLE MAP
Author(s) -
Guangrui Wang,
Shigang Chen
Publication year - 1990
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.39.1705
Subject(s) - chaotic , scaling law , scaling , supercritical fluid , statistical physics , critical point (mathematics) , chaos (operating system) , physics , point (geometry) , mathematical analysis , computer science , mathematics , geometry , thermodynamics , computer security , artificial intelligence
In this paper, we investigate the behaviour of the chaotic motions when parameter k>1 and k》1 for the circle map. We give out the measures of the chaos and it's scaling laws, by the methods of calculating the Lyaponov exponents and winding number for isometric point on Ω axis.