LA FORMA NORMAL DE LIE EN UN CASO CRÍITICO DE UN SISTEMA HAMILTONIANO CON TRES GRADOS DE LIBERTAD Y TRES FRECUENCIAS IGUALES
In this work, we consider a Hamiltonian system with three degrees of freedom, whose linear part has all its roots pure imaginary and its three frequencies equal. We determine the Kernel of the Lie operator and the normal form, according to Meyer, of Hamiltonian in the diagonalizable case and in one...
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| Lenguaje: | Spanish / Castilian |
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Universidad Católica del Norte, Departamento de Matemáticas
2004
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000100001 |
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| Sumario: | In this work, we consider a Hamiltonian system with three degrees of freedom, whose linear part has all its roots pure imaginary and its three frequencies equal. We determine the Kernel of the Lie operator and the normal form, according to Meyer, of Hamiltonian in the diagonalizable case and in one of the nondiagonalizable cases, obtaining a normal form of the type obtained by Sokols kii and Mansilla in previous works |
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