Publicación:
Nilpotent Jacobians and Almost Global Stability

dc.contributor.authorCastañeda, Álvaro
dc.contributor.authorMachado-Higuera, Maximiliano
dc.date.accessioned2020-09-24T14:27:05Z
dc.date.available2020-09-24T14:27:05Z
dc.date.issued2020-07-27
dc.description.abstractBy one hand, we continue with the study of the liaison between the almost Hurwitz vector fields and density functions. In particular by using maps H with nilpotent Jacobian JH such that their rows are linearly dependent over R, we construct a family of almost Hurwitz vector fields F in dimension larger than two which has the origin as almost global attractor. This last fact is shown by associating an appropriate density function to the vector field F. Moreover, we show new examples of Hurwitz vector fields such that the origin is a global attractor. On the other hand, in the case when the rows of JH are linearly independent over R, we show explicitly the inverse maps of the counterexamples to Generalized Dependence Problem and proving that this inverse maps preserve the linearly independence over R of the nilpotent Jacobian.es_CO
dc.description.sponsorshipUniversidad de Ibaguées_CO
dc.identifier.citationCastañeda, Á., Machado-Higuera, M. Nilpotent Jacobians and Almost Global Stability. J Dyn Diff Equat (2020). https://doi.org/10.1007/s10884-020-09875-yes_CO
dc.identifier.issn1040-7294
dc.identifier.urihttps://link.springer.com/article/10.1007/s10884-020-09875-y
dc.language.isoenes_CO
dc.publisherJournal of Dynamics and Differential Equationses_CO
dc.subjectJacobian conjecturees_CO
dc.subjectAlmost global stabilityes_CO
dc.subjectDensity functionses_CO
dc.subjectGlobalasymptotic stability problemes_CO
dc.titleNilpotent Jacobians and Almost Global Stabilityes_CO
dc.typeArticlees_CO
dspace.entity.typePublication
eperson.emailmaximiliano.machado@unibague.edu.coes_CO
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