Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations

DOI10.1016/0377-0427(96)00008-8zbMath0855.65092OpenAlexW2095172584WikidataQ127991554 ScholiaQ127991554MaRDI QIDQ1923470

Tatyana Luzyanina, Dirk Roose

Publication date: 7 October 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(96)00008-8

zbMATH Keywords

stabilitysystems of nonlinear delay differential equationscharacteristic matrixHopf bifurcation points

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (13)

Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation ⋮ Computation of double Hopf points for delay differential equations ⋮ Analysis on Takens-Bogdanov points for delay differential equations ⋮ Optimization of Hopf Bifurcation Points ⋮ Dynamical analysis and consistent numerics for a delay model of viral infection in phytoplankton population ⋮ Integral operators and delay differential equations ⋮ BIFURCATIONS IN APPROXIMATE SOLUTIONS OF STOCHASTIC DELAY DIFFERENTIAL EQUATIONS ⋮ Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations ⋮ NUMERICAL BIFURCATION ANALYSIS OF DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY ⋮ Numerical bifurcation analysis of immunological models with time delays ⋮ Numerical bifurcation analysis of delay differential equations ⋮ Retarded differential equations ⋮ Bifurcation and oscillation in a time-delay neural mass model

Uses Software

• LOCBIF

Cites Work

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