Estimates of the derivative of the entropy of Gaussian thermostats

Author: Arbieto A   Lopes A  

Publisher: IOP Publishing

E-ISSN: 1361-6544|28|5|1217-1228

ISSN: 0951-7715

Source: Nonlinearity, Vol.28, Iss.5, 2015-05, pp. : 1217-1228

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Abstract

We consider a variation of an Anosov geodesic flow by Gaussian thermostats and we obtain estimates of the derivative of the entropy map at the geodesic flow. In particular, we prove that the entropy of the geodesic flow is a local maximum for the entropy map.