Dimensional reduction of nonlinear delay differential equations with periodic coefficients using Chebyshev spectral collocation

DOI10.1007/s11071-007-9266-6zbMath1189.34151OpenAlexW2086582696MaRDI QIDQ840423

Ed Bueler, Eric A. Butcher, Venkatesh Deshmukh

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-007-9266-6

zbMATH Keywords

center manifold reductionChebyshev spectral collocationtime-periodic delay differential equations

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Numerical bifurcation problems (65P30) Numerical methods for functional-differential equations (65L03)

Related Items

Analysis and Control of Deterministic and Stochastic Dynamical Systems with Time Delay, A SHORT SURVEY ON DELAY DIFFERENTIAL SYSTEMS WITH PERIODIC COEFFICIENTS, Finite dimensional Markov process approximation for stochastic time-delayed dynamical systems, Control studies of time-delayed dynamical systems with the method of continuous time approximation, Application of the Liapunov–Floquet transformation to differential equations with time delay and periodic coefficients, Lowpass filter-based continuous-time approximation of delayed dynamical systems

Uses Software

• Matlab
• DDE-BIFTOOL
• dde23

Cites Work

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