Computational methods in nonlinear stability analysis: Stability boundary calculations

DOI10.1016/J.CAM.2003.05.021zbMath1052.65116OpenAlexW2070220247MaRDI QIDQ1877272

L. Luyckx, M. Loccufier, E. J. L. Noldus

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.05.021

zbMATH Keywords

VisualizationLiapunov theorySplit boundary value problemsStability boundary calculations

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability theory for smooth dynamical systems (37C75) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (1)

Finding zeros of nonlinear functions using the hybrid parallel cell mapping method

Cites Work

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• A new trajectory reversing method for estimating stability regions of autonomous nonlinear systems
• On the phase portrait of a class of large nonlinear dynamic systems such as the power system
• A comment on the method of the closest unstable equilibrium point in nonlinear stability analysis

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