期刊文献+

强迫范德波振荡的全局分岔的过渡区

下载PDF
导出
摘要 本文研究强迫范德波振范在一指定参数平面内的分岔结构,参数平面内特别地包含中等参数域;单个亚谐解1/(2K+1)的主模态锁定区顺序排列,并且由地渡区相间隔是分岔的主要结构;提示了有两类过渡区,(1)简单的,牲介转动数为1/(2K+1)的两个模态锁定解共存;(2)复杂的,其中模态锁定觚发子区的解的转 是介于1/(2K+1)和1/(2K-1)之间的分数以及准周期、混沌解的存在,并发生鞍结分岔。
作者 徐健学 江俊
出处 《非线性动力学学报》 1998年第3期189-194,共6页
  • 相关文献

参考文献10

  • 1Gartwright M L,Littlewood J E.On nonlinear differential equations of the second order,I The equation rk(1-r^2)y+y=by(r+a),k large J Lond Math Soc,1945,20:180.
  • 2Littlewood J E On nonlinear differential equation of second order Acta Math,1957,97/98:267.
  • 3Levi M.Qualitative analysis of the periodically forced relaxtion oscillations.Mem AMS,1981,244.
  • 4Holmes P J.Averaging and chaotic motion in forced oscillations.SLAM J Appl Math,1980,38:65.
  • 5Guckenbeimer J.Dynamies of van der Pol equation.IEEE Trans CAS-27,1980a,982.
  • 6Flaherty J E,Hoppensteadt F C,Frequency entrainment of a foroed van der Pol oscillator,Studies APPl Math,1978,58:5.
  • 7Palltz U.Lauterborn W.Period-doubling cascades and devll's staircases of the driven van der Pol.oscillator.Phys Rev A,1987,36:1438.
  • 8Xu Jianxue.Jiang Jun.The bifurcation and chaos in forced van der Pol Oscillator,Resumes Volume of X Ⅶ-the International Congress of Theoretical and Applied Mechanics.Grenoble,France,Aug,21-27,1988 ICTAM press,1988,195-196.The Collection of Chinese Scholors (17th ICTAM),Mechanlcs Society of China(ed),Peking Unlversity Press,1991,107-120.
  • 9Mettin R,Palitz U,Lauterborn W.Bifurcation structure of the driven van der Pol oscillator,Int J Bifurcaiton Chaos 3,1993,1529.
  • 10Jiang J,Xu J X.A method of point mapping under cell reference for global analysis of nonlinear dynamical systems.Physical Letters A,1994,188:137-145.

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