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Frontiers and symmetries of dynamical systems

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Díaz-Cano Ocaña, Antonio y Gonzalez Gascón, F. (2010) Frontiers and symmetries of dynamical systems. Dynamical Systems: An International Journal, 25 (4). pp. 501-518. ISSN 1468-9367

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URL Oficial: http://www.tandfonline.com/doi/pdf/10.1080/14689361003761959


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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Dynamical systems; Frontier; First integral; Symmetries
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:14984
Depositado:25 Abr 2012 09:14
Última Modificación:06 Feb 2014 10:13

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