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A separation bound for non-Hamiltonian differential equations with proper first integrals

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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

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


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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
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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