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)

Data:	2011
Resum:	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. We prove that α = 0 is the only value of the parameter for which the system is integrable, and in this case we provide an explicit expression for its first integrals.
Nota:	Agraïments: The second author is partially supported by FCT through CAMGDS, Lisbon.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Nosé-Hoover equation ; Darboux integrability ; Invariant algebraic surfaces
Publicat a:	Journal of geometry and physics, Vol. 61 (2011) , p. 1348-1352, ISSN 0393-0440

DOI: 10.1016/j.geomphys.2011.02.018

Postprint 7 p, 277.9 KB

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