Hopf bifurcation analysis of integro-differential equation with unbounded delay

DOI10.1016/J.AMC.2010.11.046zbMath1219.37038OpenAlexW2072268780WikidataQ115361638 ScholiaQ115361638MaRDI QIDQ627152

Dongming Zhao, Lan Zhang, Cheng-Jian Zhang

Publication date: 21 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.046

zbMATH Keywords

Hopf bifurcationNaimark-Sacker bifurcationintegro-differential delay equation

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (5)

Dynamics of a nonstandard finite-difference scheme for a limit cycle oscillator with delayed feedback ⋮ Hopf bifurcation analysis of delayed model of thymic infection with HIV-1 ⋮ Theoretical and experimental investigation of bidirectional Hopf bifurcations in cascade DC-DC buck converters ⋮ Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells ⋮ Numerical dynamics of a nonstandard finite-difference-\(\theta\) method for a red blood cell survival model

Cites Work

• Analysis of stability and Hopf bifurcation for an HIV infection model with time delay
• Stability of linear multistep methods for delay integro-differential equations
• Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model
• Qualitative behaviour of numerical approximations to Volterra integro-differential equations
• The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations
• Numerical Hopf bifurcation for a class of delay differential equations
• Stability and bifurcation of numerical discretization of a second-order delay differential equation with negative feedback
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• NUMERICAL BIFURCATION ANALYSIS OF DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
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