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A generalization of Chetaev’s principle for a class of higher order nonholonomic constraints

✍ Scribed by Cendra, Hernán; Ibort, Alberto; de León, Manuel; Martı́n de Diego, David


Book ID
121820806
Publisher
American Institute of Physics
Year
2004
Tongue
English
Weight
320 KB
Volume
45
Category
Article
ISSN
0022-2488

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A generalization of Françoise's algorith
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In [J. Differential Equations 146 (2) (1998) 320-335], Françoise gives an algorithm for calculating the first nonvanishing Melnikov function M of a small polynomial perturbation of a Hamiltonian vector field and shows that M is given by an Abelian integral. This is done under the condition that vani