Open AccessA new three-dimensional chaotic system
Author(s) -
Zhang Jian-Xiong,
Tang Wan-Sheng,
Yadong Xu
Publication year - 2008
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.57.6799
Subject(s) - lyapunov exponent , tangent , chaotic , bifurcation diagram , bifurcation , nonlinear system , lyapunov function , computer science , mathematics , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence
This paper presents a new three-dimensional continuous autonomous chaotic system. The new system has two system parameters and a nonlinear term which takes the form of arc tangent function. The stability of the new system is investigated based on linear matrix inequality (LMI) method. And the complex dynamic properties are studied by theoretical analysisnumerical simulationLyapunov exponents spectrumbifurcation diagrams and Poincaré section diagrams.