二维映射的渐近行为

Asymptotic Behaviuor of Two-dimensional Mappings

设f∈c1为二维映射,A_∞(f)由其轨道不趋于任何吸引子的点组成。本文使用“倒回去”技术,获得A_∞(f)为Lebesgue零测集的一个充分条件。

Assume that f∈c^1 is a two-dimensional mapping and A_∞(f) is a set consisting of points whose orbits do not converge to any attractor of f.By tracing method we will give a sufficient condition that the set A_∞<f> has Lebesgue measure zero.