物理学报2011，Vol.60Issue(3)：101-107,7.
一种新的三维自治混沌系统
A novel three-dimensional autonomous chaotic system
摘要
Abstract
Based on the study of Chua' s circuit, a novel chaotic system is reported. Basic dynamical properties of the new system are further investigated via theoretical analysis and numerical simulation, including Lyapunov exponent, Lyapunov dimension, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams, Poincaré mapping and power spectrum. Finally, an electronic circuit is designed by the Orcad-PSpice softeware to implement the new system. The investigation results show that the new chaotic system has broad parameter regions, an maximum Lyapunov exponent approaching one,and is not topologically equivalent to Chua's circuit. It also shows a good agreement between numerical simulation and circuit experimental simulation, which proves the existence and physical realizability of the new chaotic system.关键词
混沌系统/Lyapunov指数谱/分岔图/电路实现Key words
chaotic system/ Lyapunov exponent spectrum/ bifurcation diagram/ circuit realization引用本文复制引用
冯朝文,蔡理,康强,张立森..一种新的三维自治混沌系统[J].物理学报,2011,60(3):101-107,7.基金项目
国家高技术研究发展计划(批准号:2008AAJ225)资助的课题. （批准号:2008AAJ225）
