Jacobian problems in differential equations and algebraic geometry

DOI10.1216/RMJ-1982-12-4-679zbMath0523.34050WikidataQ115240068 ScholiaQ115240068MaRDI QIDQ584609

Gary H. Meisters

Publication date: 1982

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

global asymptotic stabilityJacobian matrixautonomous systemglobal invertibilityglobal inversion of mappingspolynomial transformations

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (21)

Dissipative vector fields on the plane with infinitely many attracting hyperbolic singularities ⋮ An extension to Hadamard global inverse function theorem in the plane ⋮ A connection between isochronous Hamiltonian centres and the Jacobian Conjecture ⋮ On a discrete version of the Jacobian conjecture of dynamical systems ⋮ Power-exact, nilpotent, homogeneous matrices ⋮ On global diffeomorphisms of euclidian space ⋮ Smooth Polynomial Paths with Nonanalytic Tangents ⋮ A polynomial counterexample to the Markus-Yamabe conjecture ⋮ On the Jacobian conjecture for global asymptotic stability ⋮ Jacobian pairs and Hamiltonian flows ⋮ The Jacobian conjecture: Reduction of degree and formal expansion of the inverse ⋮ A proof of the Jacobian conjecture on global asymptotic stability ⋮ The Lorenz system does not have a polynomial flow ⋮ Question of Global Asymptotic Stability in State-Varying Nonlinear Systems ⋮ The dynamics of locally adaptive parties under spatial voting ⋮ Polynomial flows in the plane ⋮ Diffeomorphic real-analytic maps and the Jacobian conjecture. ⋮ A Degree Theory for Lagrangian Boundary Value Problems ⋮ Samuelson maps - recent results ⋮ Linearization of polynomial flows and spectra of derivations ⋮ Rational Samuelson maps are univalent

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