Wang L
Department of Mechanics, Huazhong University of Science and Technology, Wuhan, People's Republic of China.
Chaos. 2009 Mar;19(1):013107. doi: 10.1063/1.3070648.
This paper introduces a new three-dimensional quadratic autonomous system, which can generate a pair of double-wing chaotic attractors. More importantly, this new system can generate three-wing and four-wing chaotic attractors with very complicated topological structures over a large range of parameters. Several issues, such as some basic dynamical behaviors, bifurcations, and the dynamical structure of the new chaotic system, are investigated either analytically or numerically.
本文介绍了一种新的三维二次自治系统,该系统能够产生一对双翼混沌吸引子。更重要的是,这个新系统在大范围参数下能够产生具有非常复杂拓扑结构的三翼和四翼混沌吸引子。通过解析和数值方法研究了该新混沌系统的一些基本动力学行为、分岔以及动力学结构等若干问题。