Global Injectivity of Polynomial Maps Via Vector Fields

Anna Cima, Armengol Gasull, Jaume Llibre and Francesc Mañosas
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Anna Cima: Universitat Politècnica de Catalunya, Departament de Matematica Aplicada II, E.T.S d’Enginyers Industrials de Terrassa
Armengol Gasull: Universitat Autònoma de Barcelona, Departament de Matemàtiques, Edifici Cc
Jaume Llibre: Universitat Autònoma de Barcelona, Departament de Matemàtiques, Edifici Cc
Francesc Mañosas: Universitat Autònoma de Barcelona, Departament de Matemàtiques, Edifici Cc

A chapter in Automorphisms of Affine Spaces, 1995, pp 105-123 from Springer

Abstract: Abstract This paper deals with the Real Jacobian Problem (RJP) and the Markus Yamabe Conjecture (MYC) for polynomial vector fields. We prove injectivity for a big subclass of vector fields. Concerning the MYC we get some partial results also for a big subclass of polynomial vector fields.

Keywords: Vector Field; Periodic Orbit; Negative Real Part; Global Asymptotic Stability; Homogeneous Part (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-8555-2_6

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DOI: 10.1007/978-94-015-8555-2_6

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