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.
2007
48
7
1
15
072701
https://aip.scitation.org/doi/10.1063/1.2747612
https://arxiv.org/abs/nlin/0607004
Amaricci, A.; Bonetto, F.; Falco, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32240
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