The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations

DOI10.1016/S0377-0427(99)00139-9zbMath0941.65132OpenAlexW2063687827WikidataQ128100492 ScholiaQ128100492MaRDI QIDQ1964111

Volker Wulf, Neville J. Ford

Publication date: 20 July 2000

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(99)00139-9

zbMATH Keywords

asymptotic stabilitylinear multistep methodsnonlinear delay differential equationsHopf bifurcation pointsboundary locus method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Bifurcations of singular points in dynamical systems (37G10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Bifurcation theory of functional-differential equations (34K18) Numerical nonlinear stabilities in dynamical systems (65P40)

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Cites Work

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• Differential-difference equations
• Introduction to functional differential equations
• Some Applications of the Boundary-Locus Method and the Method of D-Partitions
• A First Course in the Numerical Analysis of Differential Equations
• An extension of levinson's theorem to asymptotically jordan difference equations
• Elements of applied bifurcation theory

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