TY  - JOUR
AU  - Botella-Soler, V.
AU  - Oteo, J. A.
AU  - Ros, J.
AU  - Glendinning, P.
PY  - 2013
DA  - 2013//
TI  - Lyapunov exponent and topological entropy plateaus in piecewise linear maps
T2  - J. Phys. A
JO  - Journal of Physics A
SP  - 125101
EP  - 26pp
VL  - 46
IS  - 12
PB  - Iop Publishing Ltd
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.
SN  - 1751-8113
UR  - https://doi.org/10.1088/1751-8113/46/12/125101
DO  - 10.1088/1751-8113/46/12/125101
LA  - English
N1  - WOS:000316058200010
ID  - Botella-Soler_etal2013
ER  -