6533b85dfe1ef96bd12bdca1

RESEARCH PRODUCT

Lyapunov exponent and topological entropy plateaus in piecewise linear maps

V. Botella-solerPaul GlendinningJ A OteoJosé Luis Regidor Ros

subject

Statistics and ProbabilityMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsTopological entropyLyapunov exponentTopological entropy in physicsModuliPiecewise linear functionsymbols.namesakeModeling and SimulationsymbolsConstant (mathematics)Mathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
2013-03-08Journal of Physics A: Mathematical and Theoretical
https://doi.org/10.1088/1751-8113/46/12/125101