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7 p, 277.9 KB

The integrability of the Nose-Hoover equation / Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this work we consider the Nos'e-Hoover equation for a one dimensional oscillator x˙ = −y − xz, y˙ = x, z˙ = α(x2 − 1). It models the interaction of a particle with a heat-bath. We contribute to the understanding of its global dynamics, or more precisely, to the topological structure of its orbits by studying the integrability problem. [...]
2011 - DOI (Digital Object Identifier)

10.1016/j.geomphys.2011.02.018
Journal of geometry and physics, Vol. 61 (2011) , p. 1348-1352

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