On the non-integrability of some generalized Toda lattices

✍ Scribed by H. Yoshida; A. Ramani; B. Grammaticos; J. Hietarinta

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 552 KB
• Volume: 144
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(87)90194-4

✦ Synopsis

WC consider ;I one-parameter l'amily of two-dcgrccs-of-freedom gcneralizcd TO&I Hamiltonians. Using Ziglin'\ thcorcm with wmc c'xtencion. WC prove the non-existence ot an additional single-\ alucd anal) tic intcgrnl except for special values of the prrametc~.