Open AccessMethods for calculating the main-axis Lyapunov exponents of a type of chaotic systems with delay
Author(s) -
Xiaodan Zhang,
Xiang Liu,
Zhao Pin-Dong
Publication year - 2009
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.58.4415
Subject(s) - lyapunov exponent , chaotic , computer science , type (biology) , chaotic systems , mathematics , matrix (chemical analysis) , control theory (sociology) , control (management) , artificial intelligence , ecology , materials science , composite material , biology
In this paperwe propose a new method for calculating the main-axis Lyapunov exponents of a type of chaotic systems with delayswhich we call Matrix iteration method. We discuss this new method theoretically by detailed analysis. Alsowe introduce another method called Taylor expansion method. The method invented by Wolf is also introduced and we discuss the advantages and disadvantages of these three methods. Finallywe calculate the main-axis Lyapunov exponents of a type of chaotic systems with delay to test these method.