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摘要
In this paper, we study the existence of analytic invariant curves of a iterative equation f(f(x))=(af(x)+bxe(-x))e(-f(x)) which from mosquito model. By constructing an invertible analytic solution g(x) of an auxiliary equation of the form g(alpha(2)x)e(g(x)+g(alpha x))+g(alpha x)=ag(alpha x)e(g(x))+bg(x) invertible analytic solutions of the form g(alpha g(-1)(x)) for the original iterative functional equation are obtained. Besides the hyperbolic case 0<|alpha|<1, we focus on those on the unit circle S-1, that is,|alpha|=1. We discuss not only those alpha resonance, that is at a root of the unity, but also those near resonance under the Brjuno condition.
- 出版日期2014-11-30
- 单位重庆师范大学
