Non-integrable Hamiltonian systems and the Heun equation
type: Item
instance of: scholarly article
title: Non-integrable Hamiltonian systems and the Heun equation
zbMATH Open document ID: 0779.58016
DOI: 10.1016/0393-0440(93)90016-8
published in: Journal of Geometry and Physics
publication date: 1994-01-18T00:00:00Z
review text: The authors prove that a suitable perturbation of the Calogero-Moser system is non-integrable. The presence of coupling terms in the Hamiltonian makes the system non-integrable. The method is inspired in a result obtained by Ziglin using the monodromy group of the linearization of the complex flow around particular solutions.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 205504
zbMATH Keywords: Heun equation
zbMATH Keywords: non-integrable Hamiltonian systems
author: Jean-Pierre Francoise
author: Maylis Irigoyen
reviewed by: Waldyr Muniz Oliva
MaRDI profile type: Publication
full work available at URL: 0393-0440(93)90016-8
OpenAlex ID: W1998124567
cites work: Three integrable Hamiltonian systems connected with isospectral deformations
cites work: Q3471230
cites work: Matrix-second order differential equations and chaotic Hamiltonian systems
cites work: Q3483616
cites work: Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
cites work: Q3844537
cites work: Non-integrability of Hénon-Heiles system and a theorem of Ziglin
cites work: Q5575763
cites work: Q5843703
cites work: Q4112233
cites work: Q5574850
cites work: Q5540675
cites work: Q5627667
cites work: Matrix analogues of elliptic functions
cites work: Non-integrability of the truncated Toda lattice Hamiltonian at any order
cites work: Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems
cites work: Picard-Vessiot theory and Ziglin's theorem
cites work: Q4731859
description: scientific article; zbMATH DE number 205504