,
volume 89
,
issue 1
,
pages 179-226
Non-uniformly expanding dynamics in maps with singularities and criticalities
Publication type: Journal Article
Publication date: 1999-12-01
scimago Q1
wos Q1
SJR: 6.783
CiteScore: 9.2
Impact factor: 3.5
ISSN: 00738301, 16181913
General Mathematics
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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GOST
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LUZZATTO S., TUCKER W. Non-uniformly expanding dynamics in maps with singularities and criticalities // Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques. 1999. Vol. 89. No. 1. pp. 179-226.
GOST all authors (up to 50)
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LUZZATTO S., TUCKER W. Non-uniformly expanding dynamics in maps with singularities and criticalities // Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques. 1999. Vol. 89. No. 1. pp. 179-226.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1007/bf02698857
UR - https://doi.org/10.1007/bf02698857
TI - Non-uniformly expanding dynamics in maps with singularities and criticalities
T2 - Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
AU - LUZZATTO, STEFANO
AU - TUCKER, WARWICK
PY - 1999
DA - 1999/12/01
PB - Springer Nature
SP - 179-226
IS - 1
VL - 89
SN - 0073-8301
SN - 1618-1913
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{1999_LUZZATTO,
author = {STEFANO LUZZATTO and WARWICK TUCKER},
title = {Non-uniformly expanding dynamics in maps with singularities and criticalities},
journal = {Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques},
year = {1999},
volume = {89},
publisher = {Springer Nature},
month = {dec},
url = {https://doi.org/10.1007/bf02698857},
number = {1},
pages = {179--226},
doi = {10.1007/bf02698857}
}
Cite this
MLA
Copy
LUZZATTO, STEFANO, and WARWICK TUCKER. “Non-uniformly expanding dynamics in maps with singularities and criticalities.” Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques, vol. 89, no. 1, Dec. 1999, pp. 179-226. https://doi.org/10.1007/bf02698857.