Analyticity of the SRB measure for a class of simple Anosov flows

Details Analyticity of the SRB measure for a class of simple Anosov flows Analyticity of the SRB measure for a class of simple Anosov flows

2006-07-05

arxiv.org/abs/nlin/0607004v2

J. Math. Phys. 48, 072701 (2007)

Nonlinear Sciences

Chaotic Dynamics

23 pages, corrected typos

Scientific paper

10.1063/1.2747612

We consider perturbations of the Hamiltonian flow associated with the geodesic flow on a surface of constant negative curvature. We prove that, under a small perturbation, not necessarely of Hamiltonian character, the SRB measure associated to the flow exists and is analytic in the strength of the perturbation. An explicit example of "thermostatted" dissipative dynamics is constructed.

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