Mostra el registre d'ítem simple

Rational parameterizations approach for solving equations in some dynamical systems problems

dc.contributor.authorLázaro Ochoa, José Tomás
dc.contributor.authorGasull Embid, Armengol
dc.contributor.authorTorregrosa Arús, Joan
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-07-24T09:36:36Z
dc.date.available2020-08-18T00:27:26Z
dc.date.issued2019-08
dc.identifier.citationLazaro, J. T.; Gasull, A.; Torregrosa, J. Rational parameterizations approach for solving equations in some dynamical systems problems. "Qualitative theory of dynamical systems", Agost 2019, vol. 18, núm. 2, p. 583-602.
dc.identifier.issn1575-5460
dc.identifier.urihttp://hdl.handle.net/2117/166702
dc.description.abstractWe show how the use of rational parameterizations facilitates the study of the number of solutions of many systems of equations involving polynomials and square roots of polynomials. We illustrate the effectiveness of this approach, applying it to several problems appearing in the study of some dynamical systems. Our examples include Abelian integrals, Melnikov functions and a couple of questions in Celestial Mechanics: the computation of some relative equilibria and the study of some central configurations
dc.format.extent20 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferential equations
dc.subject.lcshCommutative algebra
dc.subject.otherBifurcation
dc.subject.otherResultant
dc.subject.otherRational parameterization
dc.subject.otherAbelian integral
dc.subject.otherPoincaré–Melnikov–Pontryagin function
dc.subject.otherRelative equilibria
dc.subject.otherCentral configuration
dc.titleRational parameterizations approach for solving equations in some dynamical systems problems
dc.typeArticle
dc.subject.lemacEquacions diferencials
dc.subject.lemacÀlgebra commutativa
dc.contributor.groupUniversitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.identifier.doi10.1007/s12346-018-0300-5
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject.amsClassificació AMS::13 Commutative rings and algebras::13P Computational aspects of commutative algebra
dc.subject.amsClassificació AMS::14 Algebraic geometry::14E Birational geometry
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs12346-018-0300-5
dc.rights.accessOpen Access
local.identifier.drac25686922
dc.description.versionPostprint (author's final draft)
local.citation.authorLazaro, J. Tomás; Gasull, A.; Torregrosa, J.
local.citation.publicationNameQualitative theory of dynamical systems
local.citation.volume18
local.citation.number2
local.citation.startingPage583
local.citation.endingPage602


Fitxers d'aquest items

Thumbnail
Nom:
GasLazTor2018.pdf
Mida:
418,4Kb
Format:
PDF
Visualitza/Obre

Aquest ítem apareix a les col·leccions següents

Mostra el registre d'ítem simple