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Título:
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Frontiers and symmetries of dynamical systems
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Autores:
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Díaz-Cano Ocaña, Antonio ;
Gonzalez Gascón, F.
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Tipo de documento:
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texto impreso
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Editorial:
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Taylor & Francis, 2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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The frontiers of boundedness F(b) of the orbits of dynamical systems X defined on R(n) are studied. When X is completely integrable some topological properties of F(b) are found and, in certain cases, F(b) is localized with the help of symmetries of X. Several examples in dimensions 2 and 3 are provided. In case the number of known first integrals of the vector field X is less than n - 1, an interesting connection of F(b) with the frontier of boundedness of the level-sets of the first integrals of X is proved. This result also applies to Hamiltonian systems.
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En línea:
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https://eprints.ucm.es/id/eprint/14984/1/03.pdf
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