Non-uniformly expanding dynamics in maps with singularities and criticalities

被引：0
|
作者：
Luzzatto S. [1 ]
Tucker W. [2 ]
机构：
[1] Mathematics Institute, University of Warwick, Coventry
[2] Department of Mathematics, Uppsala University, Uppsala
来源：
Publications Mathématiques de l'Institut des Hautes Études Scientifiques | 1999年 / 89卷 / 1期
关键词：
Return Time; Strange Attractor; Escape Time; Positive Lyapunov Exponent; Essential Return;
D O I：
10.1007/BF02698857
中图分类号：
学科分类号：
摘要：
We investigate a one-parameter family of interval maps arising in the study of the geometric Lorenz flow for non-classical parameter values. Our conclusion is that for all parameters in a set of positive Lebesgue measure the map has a positive Lyapunov exponent. Furthermore, this set of parameters has a density point which plays an important dynamic role. The presence of both singular and critical points introduces interesting dynamics, which have not yet been fully understood. © 1999 Publications Mathematiques de L'I.H.E.S.
引用
收藏
页码：179 / 226
页数：47
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