Bifurcation Analysis of Periodic Solutions of Neural Functional Differential Equations: A Case Study

DOI10.1142/S0218127498001595zbMath0941.34070OpenAlexW2113479572MaRDI QIDQ4941352

Tatyana Luzyanina, Dirk Roose, Koen Engelborghs

Publication date: 3 August 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498001595

zbMATH Keywords

stabilityperiodic solutionsneutral functional-differential equationsPoincaré operatornumerical bifurcation analysis

Mathematics Subject Classification ID

Related Items (11)

Numerical integration error method for zeros of analytic functions ⋮ Reduction and normal forms for a delayed reaction-diffusion differential system with B-T singularity ⋮ Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string. ⋮ Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions ⋮ Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum ⋮ Hopf Bifurcation Analysis and Stability for a Ratio-Dependent Predator–Prey Diffusive System with Time Delay ⋮ Numerical bifurcation analysis of delay differential equations ⋮ Retarded differential equations ⋮ Collocation schemes for periodic solutions of neutral delay differential equations ⋮ Orthogonal iterations on companion-like pencils ⋮ An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type

Cites Work

• A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems.
• On neutral functional differential equations with nonatomic difference operator
• Solving large nonlinear systems of equations by an adaptive condensation process
• Linear autonomous neutral functional differential equations
• Periodic orbits of delay differential equations under discretization
• New oscillation criteria for odd order neutral equations
• Stabilization of Unstable Procedures: The Recursive Projection Method
• Resonant codimension two bifurcation in a neutral functional differential equation
• An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions
• Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations

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