We consider perturbations of the Hamiltonian flow associated with the geodesic flow on a surface with constant negative curvature. We prove that, under a small perturbation, not necessarily of Hamiltonian character, the Sinai-Ruelle-Bowen measure associated with the flow exists and is analytic in the strength of the perturbation. An explicit example of “thermostated” dissipative dynamics is considered.
Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows / Amaricci, A.; Bonetto, F.; Falco, P.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 48:7(2007), pp. 1-15. [10.1063/1.2747612]
Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows
Amaricci, A.;
2007-01-01
Abstract
We consider perturbations of the Hamiltonian flow associated with the geodesic flow on a surface with constant negative curvature. We prove that, under a small perturbation, not necessarily of Hamiltonian character, the Sinai-Ruelle-Bowen measure associated with the flow exists and is analytic in the strength of the perturbation. An explicit example of “thermostated” dissipative dynamics is considered.File in questo prodotto:
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