Hausdorff Continuity of Region of Attraction Boundary Under Parameter Variation with Application to Disturbance Recovery

DOI10.1137/20M1371944zbMath1495.37027arXiv2010.03312OpenAlexW4226421889MaRDI QIDQ5037771

Michael W. Fisher, Ian A. Hiskens

Publication date: 4 March 2022

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03312

zbMATH Keywords

nonlinear stabilityMorse-Smale systemshyperbolic dynamicsinvariant manifold theoryregion of attraction boundary

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Stability theory for smooth dynamical systems (37C75) Morse-Smale systems (37D15)

Related Items (1)

Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment

Cites Work

• On Morse-Smale dynamical systems
• TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS
• Introduction to Smooth Manifolds
• Morse inequalities for a dynamical system
• Stability regions of nonlinear autonomous dynamical systems
• Differential Topology
• Comments on “Stability Regions of Nonlinear Autonomous Dynamical Systems”
• Stability Regions of Nonlinear Dynamical Systems
• Differentiable dynamical systems
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