%0 Journal Article %T Lyapunov exponent and topological entropy plateaus in piecewise linear maps %A Botella-Soler, V. %A Oteo, J. A. %A Ros, J. %A Glendinning, P. %J Journal of Physics A %D 2013 %V 46 %N 12 %I Iop Publishing Ltd %@ 1751-8113 %G English %F Botella-Soler_etal2013 %O WOS:000316058200010 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1353), last updated on Fri, 05 Apr 2013 21:01:17 +0000 %X 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. %R 10.1088/1751-8113/46/12/125101 %U https://doi.org/10.1088/1751-8113/46/12/125101 %P 125101-26pp