期刊论文

中文

华中师范大学学报(自然科学版)

1000-1190

2010

44

3

361-364,368

10.19603/j.cnki.1000-1190.2010.03.003

基金项目：国家自然科学基金项目（10671081）.

本校为其他机构

研究了具有限时滞Lienard方程在经历Hopf分支时小周期扰动对系统的影响, 特别是讨论了扰动频率与Hopf分支周期解的固有频率在二阶次调和共振的情形.给出了系统的次调和解分支及其稳定性, 并且讨论了相应的平均系统Hopf分支

In this paper, the influence of small periodic perturbations on Liénard equation with limited delay exhibiting Hopf bifurcation is studied. In particular, the case where the excitation frequency is close to twice the critical natural frequency of Hopf bifurcation is discussed. The result of subharmonic solution bifurcation along with its stability is obtained. And H...