Global asymptotic stability for a class of discontinuous vector fields in

DOI10.1080/14689360600834672zbMath1117.37012OpenAlexW2092376760MaRDI QIDQ5899463

Jaume Llibre, Marco Antonio Teixeira

Publication date: 19 June 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360600834672

zbMATH Keywords

regularizationnonlinear perturbationsMarkus-Yamabe conjectureHurwitz systemglobal asymptotic equilibrium point

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Dynamics induced by flows and semiflows (37C10) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems ⋮ On the limit cycles of perturbed discontinuous planar systems with 4 switching lines ⋮ The Markus–Yamabe conjecture for continuous and discontinuous piecewise linear differential systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Qualitative bifurcation analysis of a non-smooth friction-oscillator model
• A polynomial counterexample to the Markus-Yamabe conjecture
• Structurally stable discontinuous vector fields in the plane.
• Stability conditions for discontinuous vector fields

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