Structural stability of piecewise-linear vector fields.

DOI10.1016/S0022-0396(03)00059-7zbMath1033.34057MaRDI QIDQ1405020

Jorge Sotomayor, Ronaldo A. Garcia

Publication date: 25 August 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

structural stabilitypiecewise-linear vector field

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Discontinuous ordinary differential equations (34A36)

Related Items (4)

Codimension-3 Bifurcation for Continuous Saddle Bimodal Linear Dynamical Systems ⋮ Bifurcation Diagram of Saddle/Spiral Bimodal Linear Systems ⋮ Controllability of continuous bimodal linear systems ⋮ Structural stability of planar bimodal linear systems

Cites Work

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• Structural stability on two-dimensional manifolds
• Stable planar polynomial vector fields
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Structural stability of piecewise smooth systems
• Limit-cycles and rotated vector fields
• Generic properties of continuous piecewise-linear vector fields in R/sup 2/
• Phase portraits of planar control systems

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