摘要
通过在Colpitts振荡器中引入二次反馈项,观察到了新奇的双涡卷吸引子.这个具有反馈项的混沌系统具有3个平衡点,产生不同于Lorenz和Colpitts系统的复杂吸引子.对系统的一些基本特性,如平衡点、稳定性、Lyapunov指数谱、分岔图、相轨与庞加莱截面等进行了详细的分析.
A novel 2-scroll attractor is observed in Colpitts oscillator when introducing a nonlinear quadratic feedback controller.The new chaotic system with quadratic feedback term has three equilibria and can display a complicated Colpitts-unlike or Lorenz-unlike 2-scroll chaotic attractor,which induces more complex dynamical behaviors in the modified circuit.The detailed dynamical behaviors of the novel 2-scroll attractor are investigated,including equilibria,stability,Lyapunov exponent spectrum,bifurcation diagram,Poincaré mapping as well as phase portraits.
出处
《西北师范大学学报(自然科学版)》
CAS
北大核心
2011年第2期36-41,101,共7页
Journal of Northwest Normal University(Natural Science)
基金
江苏省"青蓝工程"基金资助项目(苏教师〔2008〕30号)
江苏省博士后科研资助计划项目(1002004C)