摘要
共焦对合系对确定有限维Hamiltonian系统的可积结构起着重要的作用,与有限维可积系统相联系的许多对合系可由共焦生成元生成.据此,提出一个一般的对合系的生成元.作为应用,导出一类新的Liouville意义下的有限维完全可积系统.
The confoeal involutive systems play a central role for determining the integrability structure of finite-dimensional Hamiltonian systems. Based on the observation that quite a few involutive systems associated with finite-dimensional integrable systems are generated from a eonfocal generator, a general generator of involutive systems is proposed. As an application, a new class of finite-dimensional completely integrable systems is derived in the Liouville sense.
出处
《徐州师范大学学报（自然科学版）》
CAS
2008年第3期34-37,共4页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
the National Natural Science Foundation of China(10471132)
the Scientist and Technician Innovation Troops Construction Projects of He’nan Province(084200510019)
