Asymptotic stability of linearizations of a planar vector field with a singular point implies global stability
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Publication:1921875
DOI10.1007/BF01077471zbMath0855.34057MaRDI QIDQ1921875
Publication date: 3 February 1997
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Related Items (14)
Vector fields whose linearisation is Hurwitz almost everywhere ⋮ The Markus-Yamabe conjecture for discontinuous piecewise linear differential systems in \(\mathbb{R}^n\) separated by a \(\mathrm{conic} \!\times \! \mathbb{R}^{n-2}\) ⋮ The discontinuous matching of two globally asymptotically stable crossing piecewise smooth systems in the plane do not produce in general a piecewise differential system globally asymptotically stable ⋮ Markus-Yamabe's conjecture for compact gradients in Hilbert spaces ⋮ Asymptotic stability at infinity for bidimensional Hurwitz vector fields ⋮ Local stability implies global stability for the planar Ricker competition model ⋮ Globally asymptotically stable equilibrium points in Kukles systems ⋮ Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\) ⋮ The Markus–Yamabe conjecture for continuous and discontinuous piecewise linear differential systems ⋮ Around Efimov's differential test for homeomorphism ⋮ Center type performance of differentiable vector fields in the plane ⋮ Note on the Markus--Yamabe conjecture for gradient dynamical systems ⋮ Some open problems in low dimensional dynamical systems ⋮ Dynamics analysis of Llibre-Menezes piecewise linear systems
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