Lyapunov exponent and topological entropy plateaus in piecewise linear maps

V Botella-Soler; J A Oteo; J Ros; P Glendinning

Lyapunov exponent and topological entropy plateaus in piecewise linear maps

V Botella-Soler, J A Oteo, J Ros, P Glendinning

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	12
Publication status	Published - 2013

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title = "Lyapunov exponent and topological entropy plateaus in piecewise linear maps",

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.",

author = "V Botella-Soler and Oteo, {J A} and J Ros and P Glendinning",

year = "2013",

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journal = "Journal of Physics A: Mathematical and Theoretical",

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T1 - Lyapunov exponent and topological entropy plateaus in piecewise linear maps

AU - Botella-Soler, V

AU - Oteo, J A

AU - Ros, J

AU - Glendinning, P

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

M3 - Article

SN - 1751-8121

VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 12

ER -

Lyapunov exponent and topological entropy plateaus in piecewise linear maps

Abstract

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