平面映射的周期解分支

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Bifurcations of Periodic Solutions for Plane Mappings

摘要: 本文运用一些技巧对Taylor映射在4
- Taylor映射 /
- 正规同宿点 /
- 分支 /
- 弹跳球运动 /
- 周期点
Abstract: In this paper, using some techniques, we prove that there exists the regular homodinic point for Taylor mapping with 4<A≤1.5π and motion of bouncing ball with 4<r≤1.5π. This result implies that the corresponding systems have infinitely many distinct periodic points.
- Taylor mapping /
- motion of bouncing ball /
- regular homoclinic point /
- bifurcation /
- periodic point

[1]	Devaney,R.L.,Homoclinic bifurcations and the area-conserving henon mapping,J.Diff.Equs.,51(1984).254-266.
[2]	Churchill,R.and D.Rod,Pathology in dynamical system III,analystic hamiltons,J.Diff.Equs.,37(1980),23-28.
[3]	朱思铭等,全国动力系统及其应用学术讨i}会交流资料(杭州),(1988).
[4]	Guckenheimer,J.and P.Holmes,Nonlinear Oscillations,Dynamical Systems and Bifurcation of Vector Fields,Springer-Verlag(1983).
[5]	孙义隧和C,Frveshite.二维保面积映射的Kolmogorov嫡,中国科学(A),4(1982),357-363.
[6]	李继彬.《浑纯与Melnikov方法》,重庆大学出版社,重庆(1989).