三维分片光滑Filippov-型方程Hopf分支周期解的数值计算

Numerical Computation of Periodic Solutions Generated by Generalized Hopf Bifurcation of 3-Dimensional Piecewise Smooth Filippov-Type Equation

给出了三维分片光滑Filippov-型方程广义Hopf分支周期解的数值计算方法,通过在每个光滑区域内构造Poincaré映射,再计算复合的Poincaré映射的不动点得到了相应的广义Hopf分支周期解,并给出了数值算例.结果表明,算法是有效的.

We studied a numerical method for computing the periodic solutions generated by generalized Hopf bifurcation of 3-dimensional piecewise smooth Filippov-type equation. Poincaré map was constructed in each smooth region. Computing the fixed point of composite Poincaré map,we obtained the periodic solutions of generalized Hopf bifurcation. Furthermore,the numerical computation of an example was also carried out to illustrate the efficiency of the method.