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NON-UNIFORMLY EXPANDING DYNAMICS IN MAPS WITH SINGULARITIES AND CRITICALITIES
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Luzzatto, Stefano and Tucker, Warwick (1999) NON-UNIFORMLY EXPANDING DYNAMICS IN MAPS WITH SINGULARITIES AND CRITICALITIES. PUBLICATIONS MATHEMATIQUES (89). pp. 179-226. doi:10.1007/BF02698857 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.
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Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PUBLICATIONS MATHEMATIQUES | ||||
Publisher: | PRESSES UNIV FRANCE | ||||
ISSN: | 0073-8301 | ||||
Official Date: | December 1999 | ||||
Dates: |
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Number: | 89 | ||||
Number of Pages: | 48 | ||||
Page Range: | pp. 179-226 | ||||
DOI: | 10.1007/BF02698857 | ||||
Publication Status: | Published |
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