物理学报2011，Vol.60Issue(6)：428-431,4.
Birkhoff意义下 Hénon-Heiles方程的离散变分计算
Discrete variational calculation of Hénon-Heiles equation in the Birkhoffian sense
摘要
Abstract
The H6non-Heiles equation that is nonlinear nonintegrable Hamilton system is studied by using the method of discrete variational valculation in the Birkhoffian sense. And the result from the method is compared with the result obtained by using symplectic algorithm and Runge-Kutta method, indicating that the method presented in this paper is reasonable and feasible in computing the dynamical action of the nonlinear nonintegrable Hamilton system in the Birkhoffian sense.关键词
Hénon-Heiles方程/离散变分方法/自治Birkhoff方程Key words
Henon-Heiles equation/ discrete variational method/ autonomous Birkhoff equation引用本文复制引用
刘世兴,刘畅,郭永新..Birkhoff意义下 Hénon-Heiles方程的离散变分计算[J].物理学报,2011,60(6):428-431,4.基金项目
国家自然科学基金(批准号:10932002,10872084)、辽宁省高等学校科研基金(批准号:2008S098)、辽宁省高等学校优秀人才支持计划(批准号:2008RC20)、辽宁省重点实验室建设计划(批准号:2008403009)、辽宁大学青年科研基金(批准号:2008LDQN04)和辽宁省教育厅科研计划(批准号:L2010147)资助的课题. （批准号:10932002,10872084）
