具有限时滞的扰动Van der pol方程的次调和分支

详细研究了具有限时滞van der pol方程在经历Hopf分支时,小周期扰动对系统的影响,特别讨论了扰动频率与Hopf分支固有频率在次调和共振的情形,表明了在某些参数区域内,系统存在次调和分支,并且讨论了其分支解的稳定性.

Subharmonic Bifurcation of Van der poi Equation with Limited Time Delay

In this paper periodically perturbed Hopf bifurcation to Van der pol equation with limited time delay is studied in detail . That is , the influence of small periodic perturbations on system exhibiting Hopf bifurcation is studied . In particular ,the excitation frequency and the critical natural frequency of Hopf bifurcation in the ease of subharmonie resonance is discussed . It is shown that in some parameter regions the systems exhibit subharmonie solution bifurcation. Furthermore, the stability of bifurcation periodic solutions is discussed.