Analytic Solutions of Invariant Curves

摘要：

This paper is concerned with the existence of analytic solutions of an invariant curves φ(z+φ(z))= p (φ(z)) By reducing the equation with the Schroder transformation to another functional equation without iteration of the unknown function, the existence of local invertible analytic solutions is obtained. For technical reasons, in previous work the constant α given in the Schroder transformation is required to fulfill that α is off the unit circle or lies on the circle with the Diophantine condition. In this paper, we obtain results of analytic solutions in the case of α at resonance, i.e., at a root of the unity, and the case of α near resonance under the Brjuno condition.

关键词： analytic solution invariant curves resonance Brjuno condition

作者: Lingxia Liu

作者单位: Department of Mathematics Weifang University Weifang, Shandong 261061, P. R. China

会议类型: 国际会议

会议名称: 2010 International Conference on Circuit and Signal Processing(2010年电路与信号处理国际会议 ICCSP 2010)

会议地点: 上海

会议语种:英文

页码: 474-477

在线出版日期: 2010-12-25（万方平台首次上网日期，不代表论文的发表时间）