DYNAMICAL ANALYSIS OF A 3-D CHAOTIC SYSTEM WITH ONLY TWO QUADRATIC NONLINEARITIES  

作　　者：Zeraoulia ELHADJ 

机构地区：[1]Department of Mathematics,University of Tébéssa,Tebessa 12000,Algeria

出　　处：《Journal of Systems Science & Complexity》2008年第1期67-75,共9页系统科学与复杂性学报（英文版）

摘　　要：The paper reports the dynamical study of a three-dimensional quadratic autonomous chaotic system with only two quadratic nonlinearities, which is a special case of the so-called conjugate Lue system. Basic properties of this system are analyzed by means of Lyapunov exponent spectrum and bifurcation diagram. The analysis shows that the system has complex dynamics with some interesting characteristics in which there are several periodic regions, but each of them has quite different periodic orbits.

关 键 词：Bifurcation conjugate attractors DEGENERATION Lyapunov exponent quadratic chaotic system. 

分 类 号：O415.5[理学—理论物理]