TY - JOUR
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.
AU - Botella Soler, Vicente
AU - Oteo, JosÃ©
AU - Ros, Javier
AU - Glendinning, Paul
ID - 2861
IS - 12
JF - Journal of Physics A: Mathematical and Theoretical
TI - Lyapunov exponent and topological entropy plateaus in piecewise linear maps
VL - 46
ER -