N. S. Dairbekov

activity

20052012

most citedEntropy production in Gaussian thermostats

15 citations · 38 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.DS2008★ 2 cited

On the cohomological equation of magnetic flows

Nurlan S. Dairbekov, Gabriel P. Paternain

We consider a magnetic flow without conjugate points on a closed manifold $M$ with generating vector field $\G$. Let $h \in C^{\infty} (M)$ and let $θ$ be a smooth 1-form on $M$ . We…

math.DS2006★ 3 cited

Entropy production in thermostats II

Nurlan S. Dairbekov, Gabriel P. Paternain

We show that an arbitrary Anosov Gaussian thermostat close to equilibrium has positive entropy poduction unless the external field $E$ has a global potential. The configuration spa…

math.DS2006★ 15 cited

Entropy production in Gaussian thermostats

N. S. Dairbekov, G. P. Paternain

We show that an arbitrary Anosov Gaussian thermostat on a surface is dissipative unless the external field has a global potential.

math.DS2005★ 1 cited

Rigidity properties of Anosov optical hypersurfaces

Nurlan S. Dairbekov, Gabriel P. Paternain

We consider an optical hypersurface $Σ$ in the cotangent bundle $τ : T^{*} M \to M$ of a closed manifold $M$ endowed with a twisted symplectic structure. We show that if the characterist…