NEW ASPECTS OF INTEGRABILITY OF GENERALIZED HENON-HEILES SYSTEMS

被引：14
作者：
SARLET, W
机构：
[1] Instituut voor Theoretische Mechanics, Rijksuniversneit Gent, Gent, B- 9000
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 22期
关键词：
D O I：
10.1088/0305-4470/24/22/008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The class of so-called Henon-Heiles systems is slightly broadened by allowing for the existence of non-standard Hamiltonians. The extra parameter in the equations of motion is shown to give rise to a generalization of the three known integrability cases. In addition, three degenerate cases are detected, characterized by a partial decoupling of the equations. For these cases, we still obtain two independent first integrals, but their involutiveness can only be understood in terms of a non-standard Poisson structure.
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收藏
页码：5245 / 5251
页数：7
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