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Hopf type rigidity for thermostats

Published online by Cambridge University Press:  13 August 2013

YERNAT M. ASSYLBEKOV  and
NURLAN S. DAIRBEKOV
YERNAT M. ASSYLBEKOV
Affiliation:
Department of Mathematics, University of Washington, Seattle, WA 98195-4350, USA email y_assylbekov@yahoo.com
NURLAN S. DAIRBEKOV
Affiliation:
Kazakh British Technical University, Tole bi 59, 050000 Almaty, Kazakhstan email Nurlan.Dairbekov@gmail.com
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Abstract

We study the motion of a particle on a Riemannian 2-torus under the influence of a magnetic field and a Gaussian thermostat. We prove a Hopf type rigidity for this dynamical system without conjugate points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 6 , December 2014 , pp. 1761 - 1769
Copyright
© Cambridge University Press, 2013 

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