摘要
文章基于混沌纠缠方法构造了一个新的混沌系统,通过理论和数值分析验证了该系统存在混沌吸引子.此外,利用非线性动力学理论分析了该系统平衡点的稳定性以及Hopf分岔的存在性和稳定性.经过计算系统在平衡点的第一Lyapunov系数判断Hopf分岔的方向及其稳定性,最后进行数值仿真验证理论分析的正确性.
In this paper a new chaos entanglement system was proposed, and the theoretical analysis and nu-merical results show that chaos attractor exists in the system. In addition, the stability of equilibria and the existence and stability of the Hopf bifurcation were studied by using the theory of nonlinear dynamics. The direction and stability of the Hopf bifurcation were given by computing the first Lyapunov coefficient. Then, the numerical simulation is given to illustrate the theoretical analysis.
出处
《重庆文理学院学报（社会科学版）》
2016年第5期24-28,共5页
Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)
基金
国家自然科学基金项目(61364001)
