摘要
研究一类具有三维自治常微分方程组形式的新的类Chen系统的余维二分岔.首先通过坐标变换,把原系统的平衡点平移到新系统的原点.通过对平移后所得新系统的Jacobi矩阵的分析,推导系统发生余维二Bautin分岔的参数条件.借助计算机对类Chen系统进行数值仿真,得到该系统发生Bautin分岔的分岔图,与理论推导结果相符合,从而验证了理论推导的正确性.
The codimension-2 bifurcation in a three-dimensional differential system derived from the famous Chen system was investigated. At first, the equilibrium discussed in the original system was translated to the origin of the coordinates of the new dynamical system by the change of variables. Then the parameter conditions for the codimension-2 Bautin bifurcation were presented by analyzing the Jaeobian matrix of the corresponding system. Bifurcation diagrams of the aforementioned system, which demonstrate the Bautin bifurcation, were obtained by numerical simulations. It is shown that the numerical results agree very well with the analytical ones, thus validating the theoretical analysis.
出处
《动力学与控制学报》
2010年第1期39-42,共4页
Journal of Dynamics and Control
基金
广西青年科学基金(0832014)资助项目~~
