ISSN:
1572-9044
Keywords:
delay differential equations
;
steady state solutions
;
stability
;
34K20
;
65J10
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The characteristic equation of a system of delay differential equations (DDEs) is a nonlinear equation with infinitely many zeros. The stability of a steady state solution of such a DDE system is determined by the number of zeros of this equation with positive real part. We present a numerical algorithm to compute the rightmost, i.e., stability determining, zeros of the characteristic equation. The algorithm is based on the application of subspace iteration on the time integration operator of the system or its variational equations. The computed zeros provide insight into the system’s behaviour, can be used for robust bifurcation detection and for efficient indirect calculation of bifurcation points.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018986817622
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