Integrability of Hamiltonians with polynomial potentials

[摘要] In this work, we study dynamical systems with polynomial potentials-such as those of Henon-Heiles, Yang-Mills and various generalizations-by means of the nonintegrability theory developed by the authors. All these problems have also been investigated by using other theories like those proposed by Ziglin, Yoshida, Morales or the Painleve analysis. In the examples considered, our method allows us to reproduce with quite less work or even to improve the results obtained by other authors. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-09-01

[效力级别]  Proceedings Paper

[关键词] nonintegrability;Yang-Mills' Hamiltonian;homogeneous potentials;Henon-Heiles potential