Díaz-Cano Ocaña, Antonio and 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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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/14689361003761959

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Dynamical systems; Frontier; First integral; Symmetries |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 14984 |

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Deposited On: | 25 Apr 2012 09:14 |

Last Modified: | 06 Feb 2014 10:13 |

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