李群的Tulczyjew三重态III:迭代束的高阶动力学和约简

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2021-02-22 DOI:10.2298/TAM210312009E

Ougul Esen, H. Gumral, S. Sutlu

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引用次数: 4

摘要

在给定李群G的情况下，给出了由哈密顿函数给出的T+T+G和T+TG上的动力学，以及由拉格朗日函数或哈密顿函数定义的图尔奇犹太辛空间TT+G上的动力学。由于我们所采用的琐屑化方法尊重迭代束的群结构，我们利用了所有可能的高阶动力学的子群约简(泊松，辛或两者)。

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Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles

Given a Lie group G, we elaborate the dynamics on T+T+G and T+TG, which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space TT+G, which may be defined by a Lagrangian or a Hamiltonian function. As the trivializations we adapted respect the group structures of the iterated bundles, we exploit all possible subgroup reductions (Poisson, symplectic or both) of higher order dynamics.

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

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