On the non-integrability of some generalized Toda lattices

H. Yoshida, A. Ramani, B. Grammaticos and J. Hietarinta

Physica A: Statistical Mechanics and its Applications, 1987, vol. 144, issue 2, 310-321

Abstract: 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.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:144:y:1987:i:2:p:310-321

DOI: 10.1016/0378-4371(87)90194-4

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