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Author
Botella-Soler, V.
;
Oteo, J.A.
;
Ros, J.
;
Glendinning, P.
Title
Lyapunov exponent and topological entropy plateaus in piecewise linear maps
Type
Journal Article
Year
2013
Publication
Journal of Physics A
Abbreviated Journal
J. Phys. A
Volume
46
Issue
12
Pages
125101 - 26pp
Keywords
Abstract
We consider a two-parameter family of piecewise linear maps in which the moduli of the two slopes take different values. We provide numerical evidence of the existence of some parameter regions in which the Lyapunov exponent and the topological entropy remain constant. Analytical proof of this phenomenon is also given for certain cases. Surprisingly however, the systems with that property are not conjugate as we prove by using kneading theory.
Address
[Botella-Soler, V.] IST Austria, A-3400 Klosterneuburg, Austria, Email: vbsoler@ist.ac.at;
Corporate Author
Thesis
Publisher
Iop Publishing Ltd
Place of Publication
Editor
Language
English
Summary Language
Original Title
Series Editor
Series Title
Abbreviated Series Title
Series Volume
Series Issue
Edition
ISSN
1751-8113
ISBN
Medium
Area
Expedition
Conference
Notes
WOS:000316058200010
Approved
no
Is ISI
yes
International Collaboration
yes
Call Number
IFIC @ pastor @
Serial
1353
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