A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomial maps

DOI10.1016/j.laa.2012.03.014zbMath1244.26021OpenAlexW2071067233WikidataQ122460804 ScholiaQ122460804MaRDI QIDQ426050

Gilles Ph. Gnacadja

Publication date: 11 June 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.03.014

zbMATH Keywords

polynomial mapmultistabilityreaction networkinjective mapJacobian criterionmonostability

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Implicit function theorems, Jacobians, transformations with several variables (26B10) Systems biology, networks (92C42)

Related Items (5)

Preclusion of switch behavior in networks with mass-action kinetics ⋮ Characterizing injectivity of classes of maps via classes of matrices ⋮ Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry ⋮ Some Results on Injectivity and Multistationarity in Chemical Reaction Networks ⋮ On the Bijectivity of Families of Exponential/Generalized Polynomial Maps

Uses Software

• MathOverflow

Cites Work

• Unnamed Item
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• A counterexample to the strong real Jacobian conjecture
• Preclusion of switch behavior in networks with mass-action kinetics
• The Jacobian matrix and global univalence of mappings
• Some Geometrical Aspects of Control Points for Toric Patches
• Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
• PMatrix Properties, Injectivity, and Stability in Chemical Reaction Systems

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