6533b856fe1ef96bd12b302d

RESEARCH PRODUCT

Families of piecewise linear maps with constant Lyapunov exponent

V. Botella-solerJ. A. OteoJ. RosP. Glendinning

subject

37E05 37B40FOS: Physical sciencesChaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic Dynamics

description

We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Lyapunov exponent and the topological entropy remain constant. We provide numerical evidence of this fact and we prove it analytically for some special cases. The mechanism is very different from that of the logistic map and we conjecture that the Lyapunov plateaus reflect arithmetic relations between the slopes.

yearjournalcountryeditionlanguage
2012-05-24
http://arxiv.org/abs/1205.5360