通过非线性动力学理论,分析了一个四维混沌系统的平衡点的稳定性及其基本动力学特性.选择适当的分岔参数,证明了Hopf分岔的存在,并通过中心流形理论和范武理论给出了决定系统周期解稳定性和方向的表达式.最后,通过数值仿真证明理论分析的正确性.
In this p parameters. More chaotic system are is investigated determining th derived. Finall aper,a four dimen precisely, the stab studied by means sional chaotic s ility of the equi of nonlinear dy ystem is studied in librium points and b namics theory. The detail by varying four control asic dynamic properties of the existence of Hopf bifurcation by choosing the appropriate bifurcation parameter. Furthermore, formulas for e direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are y,a numerical example is given.