Linear Hamiltonian Behaviors and Bilinear Differential Forms
Linear Hamiltonian Behaviors and Bilinear Differential Forms
复制标题
线性哈密顿行为和双线性微分形式
DOI：
10.1137/s0363012902414664
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
H. Trentelman
中科院分区：
文献类型：
--
作者：
P. Rapisarda;H. Trentelman
我们研究线性哈密顿系统使用双线性和二次微分形式。这样一个表示自由的方法使我们能够使用相同的概念和技术来处理系统孤立于他们的环境和系统受到外部影响，并允许我们研究系统所描述的高阶微分方程，从而免除通常的观点，在经典力学考虑的第一和第二阶微分方程。
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.