Luzzatto, Stefano and Tucker, Warwick. (1999) NON-UNIFORMLY EXPANDING DYNAMICS IN MAPS WITH SINGULARITIES AND CRITICALITIES. PUBLICATIONS MATHEMATIQUES (89). pp. 179-226. ISSN 0073-8301

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Abstract

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. [GRAPHICS] .

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	PUBLICATIONS MATHEMATIQUES
Publisher:	PRESSES UNIV FRANCE
ISSN:	0073-8301
Date:	December 1999
Number:	89
Number of Pages:	48
Page Range:	pp. 179-226
Identification Number:	10.1007/BF02698857
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/13908

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