Preservation of Hopf bifurcation for neutral delay-differential equations by \(\theta\)-methods

DOI10.1016/J.CAM.2013.01.020zbMath1266.65117OpenAlexW2085717534MaRDI QIDQ1946209

Wenxue Li, Huan Su, Xiao-Hua Ding

Publication date: 18 April 2013

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.2013.01.020

zbMATH Keywords

asymptotic stabilityHopf bifurcation\(\theta\)-methodNeimark-Sacker bifurcationneutral delay-differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Neutral functional-differential equations (34K40) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Bifurcation theory of functional-differential equations (34K18) Numerical methods for functional-differential equations (65L03)

Related Items (4)

Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation ⋮ Numerical time-delayed feedback control in a neural network with delay ⋮ Unnamed Item ⋮ Neimark-Sacker bifurcation analysis in a discrete neutral Nicholson’s blowflies system with delay

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