Geodesic
A Poisson's bracket of a point motion on a surface
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 519-522

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In this article we deal with equations of a point motion on a surface in the Hamiltonian form in redundant coordinates. We also give explicit formulae of the Poisson's bracket.
Keywords: hamiltonian systems, equations in surplus coordinates.
Mots-clés : Poisson's bracket 
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     author = {Mars N. Davletshin},
     title = {A {Poisson's} bracket of a point motion on a surface},
     journal = {Russian journal of nonlinear dynamics},
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     volume = {8},
     number = {3},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/ND_2012_8_3_a6/}
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Mars N. Davletshin. A Poisson's bracket of a point motion on a surface. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 519-522. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a6/