Collocation methods for the computation of periodic solutions of delay differential equations

SIAM Journal on Scientific Computing

Volumn 22, Issue 5, 2001, Pages 1593-1609

  Engelborghs, K ^a   Luzyanina, T ^a   In 't Hout, K J ^a   Roose, D ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Collocation methods; Delay differential equations; Periodic solutions

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; INITIAL VALUE PROBLEMS; POLYNOMIALS;

COLLOCATION METHODS; PERIODIC SOLUTIONS;

DIFFERENTIAL EQUATIONS;

EID: 0034770393     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827599363381     Document Type: Article

References (33)

1. Collocation software for boundary value ODEs
2. Solving boundary value problems for functional differential equations by collocation
3. A new basis implementation for a mixed order boundary value ODE solver
4. One-step collocation for delay differential equations
5. A Runge-Kutta-Nystrom method for delay differential equations
6. A collocation method for boundary value problems of differential equations with functional arguments
7. Periodic solutions in a model of recurrent neural feedback
8. A numerical technique for bifurcation problems in delay differential equations
9. Numerical bifurcation analysis of delay differential equations arising from physiology modelling
10. Bifurcation analysis of periodic solutions of neutral functional differential equations: A case study
11. Oscillation and chaos in physiological control systems
12. Effective computation of periodic orbits and bifurcation diagrams in delay equations
13. Solving ordinary differential equations: I. Nonstiff problems, 2nd ed.
14. Theory of Functional Differential Equations
15. Onset of chaos in differential delay equations
16. A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
17. Convergence of Runge-Kutta methods for delay differential equations
18. Periodic orbits of delay differential equations under discretization
19. Ordinary differential equations which yield periodic solutions of differential delay equations
20. Introduction to the theory and application of functional differential equations
21. Periodic boundary value problems for differential equations with finite delay
22. An adaptive Newton-Picard algorithm with subspace iteration for computing periodic solutions
23. Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations
24. Periodic solutions of nonlinear autonomous functional differential equations
25. A FitzHugh differential-difference equation modelling recurrent neural feedback
26. Approximation methods for boundary value problems of differential equations with functional arguments
27. Adaptive mesh selection strategies for solving boundary value problems
28. A theorem on the amplitudes of periodic solutions of differential delay equations with application to bifurcation