Nonsmooth bifurcations of equilibria in planar continuous systems

DOI10.1016/j.nahs.2009.11.003zbMath1200.93065OpenAlexW2169409546MaRDI QIDQ708099

Nathan van de Wouw, J. J. Benjamin Biemond, Henk Nijmeijer

Publication date: 11 October 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.11.003

zbMATH Keywords

stability analysislimit cyclesnonlinear systemshybrid systemsbifurcationspiecewise linear systemslocal approximation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Bifurcation control of ordinary differential equations (34H20)

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Cites Work

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• Dynamics and bifurcations of non-smooth mechanical systems
• Bifurcations of equilibria in non-smooth continuous systems
• Stability and controllability of planar, conewise linear systems
• Switching in systems and control
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcations in Nonsmooth Dynamical Systems
• Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Algebraic Necessary and Sufficient Conditions for the Controllability of Conewise Linear Systems
• Piecewise-Linear Theory of Nonlinear Networks
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Ordinary Differential Equations
• Bifurcations in nonlinear discontinuous systems
• Elements of applied bifurcation theory