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摘要
In this paper, we study existence of invariant curves of an iterative equation h[2](x)-(1+b)h(x)+bx-Ef(h(x))+(b-1)=0, which is from dissipative standard map. By constructing an invertible analytic solution g(x) of an auxiliary equation of the form g(2x)-(1+b)g(x)+bg(x)+(b-1)=Ef(g(x)), invertible analytic solutions of the form g(g(-1)(x)) for the original iterative functional equation are obtained. Besides the hyperbolic case 0<||<1, we focus on those on the unit circle S-1, that is, ||=1. We discuss not only those at resonance, that is, at a root of the unity, but also those near resonance under the Brjuno condition.
- 出版日期2017-7-15
- 单位重庆师范大学
