摘要
研究了一种新混沌系统的基本动力学行为及混沌控制的问题,给出了相图、功率谱、Poincaré映射以及Lyapunov指数,基于Lyapunov指数谱和全局分岔图分析了系统参数对新系统的影响,最后运用线性反馈法对新混沌系统进行控制,将其控制到周期轨道上,并给出了数值仿真结果证实了所设计的线性反馈控制器的有效性.
A new chaotic system is studied. Its basic dynamic behaviors, such as the phase portraits, the pow er spectrum, the Poincare mapping, the Lyapunov exponents and the controlling of this chaotic system are studied. The influence of system parameter on the chaotic system is also discussed through Lyapunov-exponent spectrum and global bifurcation diagram. Finally, the linear-feedback control method is utilized which can confine the chaotic system to its stable period orbit, and the simulation shows the effectiveness of this method.
出处
《河北师范大学学报（自然科学版）》
CAS
北大核心
2008年第3期321-326,348,共7页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(50475109)
甘肃省自然科学基金(3ZS051-A25-030
3ZS-042-B25-049)
