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Article · Ergodic Theory and Dynamical Systems · August 13, 2013

Hopf type rigidity for thermostats

Yernat M. Assylbekov, N. S. Dairbekov

Nurlan Dairbekov
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Abstract

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.

Mathematical Dynamics and FractalsAdvanced Differential Equations and Dynamical SystemsAdvanced Differential Geometry ResearchthermostatsGaussian thermostatmagnetic field

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