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Non-integrable Hamiltonian systems and the Heun equation

By JEAN-PIERRE FRANCOISE and M. Irigoyen

Abstract

International audienceWe study a family of Hamiltonian systems which is a perturbation of the Calogero-Moser system. The presence of the coupling terms in the Hamiltonian makes the system non-integrable. We prove this non-integrability by using the monodromy group of the linearization of the complex flow around particular solutions and the stability of the associated Heun equation

Topics: Hamiltonian Dynamical System, [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]
Publisher: Elsevier
Year: 1993
DOI identifier: 10.1016/0393-0440(93)90016-8
OAI identifier: oai:HAL:hal-01403494v1
Provided by: Hal-Diderot
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