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dc.contributor.authorGuzman, Adolfo W. ( )
dc.date.accessioned2021-04-26T19:29:12Z
dc.date.available2021-04-26T19:29:12Z
dc.date.issued2004-08-09
dc.identifier.citationGuzman, A. W. (2004). Structural stability of polynomial second order differential equations with periodic coefficients. Electronic Journal of Differential Equations, 2004(98), pp. 1-28.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13452
dc.description.abstractThis work characterizes the structurally stable second order differential equations of the form x'' = ni=0 αi(x)(x')i where ai : ℜ → ℜ are Cr periodic functions. These equations have naturally the cylander M = S1 x ℜ as the phase space and are associated to the vector fields X(ƒ) = y ∂/∂x + ƒ(x, y) ∂/∂y, where ƒ(x, y) = ni=0 αi(x)yi ∂/∂y. We apply a compactification to M as well as to X(ƒ) to study the behavior at infinity. For n ≥ 1, we define a set ∑n of X(ƒ) that is open and dense and characterizes the class of structural differential equations as above.
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSingularity at infinityen_US
dc.subjectCompactificationen_US
dc.subjectStructural stabilityen_US
dc.subjectSecond order differential equationsen_US
dc.titleStructural stability of polynomial second order differential equations with periodic coefficientsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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