Numerical bifurcation analysis for ODEs

DOI10.1016/S0377-0427(00)00458-1zbMath0971.65117OpenAlexW2000068191WikidataQ126988223 ScholiaQ126988223MaRDI QIDQ1841944

Willy Govaerts

Publication date: 6 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00458-1

zbMATH Keywords

dynamical systemscyclessoftware packagesresearch surveyhomoclinic orbitsbifurcation pointsequilibria

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Bifurcations of singular points in dynamical systems (37G10) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Packaged methods for numerical algorithms (65Y15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Development of an efficient bifurcation tracking method, Methods of continuation and their implementation in the COCO software platform with application to delay differential equations, Numerical Algorithms for the Parametric Continuation of Stiff ODEs Deriving from the Modeling of Combustion with Detailed Chemical Mechanisms, ON EFFICIENT METHODS FOR DETECTING HOPF BIFURCATION WITH APPLICATIONS TO POWER SYSTEM INSTABILITY PREDICTION, Computing non unique solutions of the Coulomb friction problem, Numerical Optimization Method for Determination of Bifurcation Points and its Application in Stability Analysis of Power System

Uses Software

• CONTENT
• AUTO
• HomCont

Cites Work

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