On algorithms for estimating computable error bounds for approximate periodic solutions of an autonomous delay differential equation

DOI10.1016/j.cnsns.2008.02.006zbMath1221.65183OpenAlexW1966749168WikidataQ115358781 ScholiaQ115358781MaRDI QIDQ716680

David E. Gilsinn

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.02.006

zbMATH Keywords

periodic solutionserror boundsdelay differential equationsVan der Pol equation

Mathematics Subject Classification ID

Uses Software

• Matlab
• DELSOL

Cites Work

• Computable error bounds for approximate periodic solutions of autonomous delay differential equations
• Spline approximations for functional differential equations
• DELSOL -- a numerical code for the solution of systems of delay- differential equations
• Developing a delay differential equation solver
• Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter
• Stability and bifurcation analysis of a nonlinear DDE model for drilling
• Integral operators and delay differential equations
• Differential equations: Stability, oscillations, time lags
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• On the approximation of nonlinear oscillations
• Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
• Nonlinear dynamics of milling processes
• A FLOQUET THEORY FOR FUNCTIONAL DIFFERENTIAL EQUATION
• The Stability of Pseudospectral-Chebyshev Methods
• Nonlinear models of chatter in drilling processes
• Spectral Methods in MATLAB
• Error Bounds for Approximate Eigenvalues of Periodic-Coefficient Linear Delay Differential Equations
• Lagrangian Interpolation at the Chebyshev Points xn,     cos (  /n),   = 0(1)n; some Unnoted Advantages
• On the existence of periodic solutions of functional differential equations
• Functional differential equations
• Dynamics and stability of milling process
• Solving DDEs in Matlab
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