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Gascón, Francisco G. and Peralta Salas, Daniel and Ruiz Sancho, Jesús María
(2000)
*A separation bound for non-Hamiltonian differential equations with proper first integrals.*
Journal of Mathematical Physics, 41
(5).
pp. 2922-2930.
ISSN 0022-2488

PDF
Restringido a Repository staff only 410kB |

Official URL: http://jmp.aip.org/resource/1/jmapaq/v41/i5/p2922_s1

## Abstract

It is shown that when a dynamical system X0 with a proper set of global first integrals is perturbed, the phase space region accessible to the orbits of the perturbed vector field X0+Xp is bounded (we are assuming here that the time variable runs over a finite interval). A polynomial new bound is obtained for the separation between the solutions of X0 and X0+Xp. Perturbations near an equilibrium point of X0 are also considered.

Item Type: | Article |
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Uncontrolled Keywords: | Dynamical system; global first integrals; orbits; equilibrium point; partial differential equations; perturbation theory |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 20984 |

Deposited On: | 22 Apr 2013 15:39 |

Last Modified: | 12 Dec 2018 15:13 |

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