PT Journal
AU Botella-Soler, V
   Oteo, JA
   Ros, J
   Glendinning, P
TI Lyapunov exponent and topological entropy plateaus in piecewise linear maps
SO Journal of Physics A
JI J. Phys. A
PY 2013
BP 125101
EP 26pp
VL 46
IS 12
DI 10.1088/1751-8113/46/12/125101
LA English
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.
ER