New renormalization procedure for perturbed ordinally differential equations with given initial condition and prescribed secular terms

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dc.creatorYamaguchi, Yoshiyuki Y.
dc.date2001-12-20
dc.date.accessioned2026-07-07T05:33:49Z
dc.date.available2026-07-07T05:33:49Z
dc.descriptionFor perturbed ordinally differential equations, a procedure of renormalization group method is proposed. To uniquely obtain renormalized solutions for given initial conditions, the procedure assumes that the extra integral constants yielded by perturbative expansion are determined as they cancel out all the prescribed secular terms. A sufficient condition for the renormalized solutions coinciding with exact solutions is also stated.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/nlin/0112034
dc.identifierhttp://arxiv.org/abs/nlin/0112034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80137
dc.subjectChaotic Dynamics
dc.titleNew renormalization procedure for perturbed ordinally differential equations with given initial condition and prescribed secular terms
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