The monotonicity of the entropy for a family of degree one circle maps-Reference-Cited by-同舟云学术

The monotonicity of the entropy for a family of degree one circle maps

Published:1992 Issue:2 Volume:334 Page:651-684
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Alsedà Lluís,Mañosas Francesc

Abstract

For the natural biparametric family of piecewise linear circle maps with two pieces we show that the entropy increases when any of the two parameters increases. We also describe the regions of the parameter space where the monotonicity is strict.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1992-334-02/S0002-9947-1992-1129433-5/S0002-9947-1992-1129433-5.pdf

Reference8 articles.

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3. Kneading theory and rotation intervals for a class of circle maps of degree one;Alsedà, Lluís;Nonlinearity,1990

4. Monotonicity properties of the family of trapezoidal maps;Brucks, K. M.;Comm. Math. Phys.,1991

5. A. Douady and J. H. Hubbard, Etude dynamique des polynomes complexes I and II, Publ. Math. Orsay, 84-02 (1984) and 85-04 (1985).

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