Center manifolds and normal forms for a class of retarded functional differential equations with parameter associated with Fold-Hopf singularity

DOI10.1016/j.amc.2006.01.030zbMath1148.65309OpenAlexW2025371938MaRDI QIDQ945359

Redouane Qesmi, My Lhassan Hbid, Mohamed Ait Babram

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.030

zbMATH Keywords

numerical examplesnormal formscenter manifoldautonomous retarded functional differential equationscomputer algebra system MapleFold-Hopf singularity

Mathematics Subject Classification ID

Related Items (7)

Stability switches and multistability coexistence in a delay-coupled neural oscillators system ⋮ The effect of oscillations in the dynamics of differential equations with delay ⋮ Reduced dynamics for delayed systems with harmonic or stochastic forcing ⋮ Symbolic computation of normal form for Hopf bifurcation in a retarded functional differential equation with unknown parameters ⋮ Double Hopf bifurcation in delay differential equations ⋮ Degenerate with respect to parameters fold-Hopf bifurcations ⋮ Center manifolds theorem for parameterized delay differential equations with applications to zero singularities

Uses Software

• Maple

Cites Work

• Unnamed Item
• Bifurcations, stability, and monotonicity properties of a delayed neural network model
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Introduction to functional differential equations
• Approximation scheme of a center manifold for functional differential equations
• On a planar system modelling a neuron network with memory
• Delay equations. Functional-, complex-, and nonlinear analysis
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Delay induced periodicity in a neural netlet of excitation and inhibition
• Computational scheme of a center manifold for neutral functional differential equations

This page was built for publication: Center manifolds and normal forms for a class of retarded functional differential equations with parameter associated with Fold-Hopf singularity