On the non-integrability of some generalized Toda lattices

We consider a one-parameter family of two-degrees-of-freedom generalized Toda Hamiltonians. Using Ziglin's theorem with some extensions, we prove the non-existence of an additional single-valued analytic integral except for special values of the parameter.

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Year of publication:	1987
Authors:	Yoshida, H. ; Ramani, A. ; Grammaticos, B. ; Hietarinta, J.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 144.1987, 2, p. 310-321
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010871610