期刊文献+

时变参数系统的非线性动力学研究

在线阅读 下载PDF
导出
摘要 本地具有时变参数的非线性系统的摄动方法、分岔与混沌以及安全盆等问题进行综述,并简要介绍一些近期结果。
出处 《非线性动力学学报》 1998年第2期99-104,共6页
  • 相关文献

参考文献20

  • 1Kevorkian J.Passage through resonance for a one-dimensional oscillator with slowly varying frequency.SIAM J Appl Math,1971,20:364-373.
  • 2Kevorkian J.Perturbation techniques for oscillaory systems with slowly varying coefficients.SIAM Rev,1985,29:391-461.
  • 3Bosley D L,Kevorkian J Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems.SIAM J Appl Math,1992,52:494-527.
  • 4Bosley D L.An improved matching procedure for transient resonance layers in weakly nonlinear oscillatory systems.SIAM J Appl Math,1996,56:420-445.
  • 5Gan C B,Lu Q S,Xu J,Transient analysis of a coupled nonlinear slow-variant system,Journal of Sound and Vibration(已校稿).
  • 6Baer S M,Emeux T,Rinzel J.The slow passage through a Hopf bifurcation;Delay,memory effects and resonance,SIAM J Appl Math,1989,49:55-71.
  • 7Holden L.Emeux T.Slow passage through a Hopf bifurcation,From oscillatory to steady state solutions,SIAM J Appl Math,1993,53:1045-1058.
  • 8Lebovitz N R,Pesci A I Dynamic bifurcation in Hamiltonian systems with one degree of freedom,SIAM J Appl Math,1995,55;1117-1133.
  • 9Haberman R.Slowly varying jump and transition phenomena associated with algebraic bifurcation problems SIAM J Appl Math,1979,17:69-106.
  • 10Maree G J M. Slow passage through a pitchfork bifurcation.SIAM J Appl Math,1996,56:889-918.

二级参考文献10

共引文献13

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部