Periods and entropy for Lorenz-like maps

Lluis Alsedà; J. Llibre; M. Misiurewicz; C. Tresser

Annales de l'institut Fourier (1989)

  • Volume: 39, Issue: 4, page 929-952
  • ISSN: 0373-0956

Abstract

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We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.

How to cite

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Alsedà, Lluis, et al. "Periods and entropy for Lorenz-like maps." Annales de l'institut Fourier 39.4 (1989): 929-952. <http://eudml.org/doc/74862>.

@article{Alsedà1989,
abstract = {We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.},
author = {Alsedà, Lluis, Llibre, J., Misiurewicz, M., Tresser, C.},
journal = {Annales de l'institut Fourier},
keywords = {renormalization; Lorenz-like maps; the best lower bound; topological entropy; rotation interval},
language = {eng},
number = {4},
pages = {929-952},
publisher = {Association des Annales de l'Institut Fourier},
title = {Periods and entropy for Lorenz-like maps},
url = {http://eudml.org/doc/74862},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Alsedà, Lluis
AU - Llibre, J.
AU - Misiurewicz, M.
AU - Tresser, C.
TI - Periods and entropy for Lorenz-like maps
JO - Annales de l'institut Fourier
PY - 1989
PB - Association des Annales de l'Institut Fourier
VL - 39
IS - 4
SP - 929
EP - 952
AB - We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.
LA - eng
KW - renormalization; Lorenz-like maps; the best lower bound; topological entropy; rotation interval
UR - http://eudml.org/doc/74862
ER -

References

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  6. [GPTT] J. M. GAMBAUDO, I. PROCACCIA, S. THOMAE and C. TRESSER, New universal scenarios for the onset of chaos in Lorenz type flows, Phys. Rev. Lett., 57 (1986), 925-928. 
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