Characteristic Matrices for Linear Periodic Delay Differential Equations
نویسندگان
چکیده
منابع مشابه
Characteristic Matrices for Linear Periodic Delay Differential Equations
Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients. First, we show that matrices constructed in this way can have a discrete set of poles in the complex plane, which may possibly obstruct their use when determining the stability of the linear system. Then we modif...
متن کاملContinuation of Bifurcations in Periodic Delay-Differential Equations Using Characteristic Matrices
Abstract. In this paper we describe a method for continuing periodic solution bifurcations in periodic delaydifferential equations. First, the notion of characteristic matrices of periodic orbits is introduced and equivalence with the monodromy operator is proved. An alternative formulation of the characteristic matrix is given, which can efficiently be computed. Defining systems of bifurcation...
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Calculation of the characteristic multipliers is not routine since in general one does not know even one nontrivial solution of (1). However it is possible to obtain convergent series representations for the solutions and thus calculate approximate values for the multipliers [2], [8]. An alternative procedure for obtaining the characteristic multipliers and the corresponding normal solutions fo...
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This article concerns the behavior of the solutions to periodic linear neutral delay differential equations as well as to periodic linear neutral delay difference equations. Some new results are obtained via two appropriate distinct roots of the corresponding (so called) characteristic equation.
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2011
ISSN: 1536-0040
DOI: 10.1137/100796455