New aspects in the use of canonoid transformations

Boleantu Mihai; Crasmareanu Mircea

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New aspects in the use of canonoid transformations

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Canonoid transformations with respect to a locally Hamiltonian vector field are studied through the concept of generating function and the Helmholtz theory of the inverse problem. The case of dimension two is connected with the Liouville equation. The use of such transformations for determining first integrals is illustrated with two examples: the Whittaker system (in dimension four) and the damped harmonic oscillator (in the dimension two).

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来源
《studia universitatis babes-bolyai mathematica》 |2013年第4期|437-444|共8页
作者
Boleantu Mihai; Crasmareanu Mircea;
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作者单位

West Univ Timisoara;

Alexandru Ioan Cuza Univ;

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原文格式 PDF
正文语种英语
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关键词
Locally Hamiltonian vector field; canonoid transformation; the inverse problem; Helmholtz conditions; integrating factor; generating function; Liouville equation; CANONICAL-TRANSFORMATIONS; HAMILTONIAN SYSTEMS; SYMMETRIES; ENTROPY;
入库时间 2024-01-25 19:56:41

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New aspects in the use of canonoid transformations

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