Weakened Markus--Yamabe conditions for 2-dimensional global asymptotic stability

DOI10.1016/j.na.2004.01.010zbMath1081.34048OpenAlexW2052799883MaRDI QIDQ1888594

Grzegorz Świrszcz, Jaume Llibre, Marc Chamberland

Publication date: 26 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.01.010

zbMATH Keywords

Liénard systemstable equilibriumglobal asymptotic stabilityJacobian conjecturepolynomial vector fieldMarkus-Yamabe conjectureplane dynamical system

Mathematics Subject Classification ID

Global stability of solutions to ordinary differential equations (34D23)

Related Items (5)

A weakened Markus–Yamabe condition for planar polynomial differential systems of degree ⋮ Globally asymptotically stable equilibrium points in Kukles systems ⋮ An eigenvalue condition for the injectivity and asymptotic stability at infinity ⋮ The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line ⋮ Dynamics analysis of Llibre-Menezes piecewise linear systems

Cites Work

• Global asymptotic stability of differential equations in the plane
• Quadratic systems with a unique finite rest point
• A solution to the bidimensional global asymptotic stability conjecture
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
• A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
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