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

页码：179 / 226

页数：47

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