Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method

Delay Effects on Stability A Robust Control Approach

Silviu‐Iulian Niculescu · HAL (Le Centre pour la Communication Scientifique Directe) · 2001 · 1.4K citations

Engineering, Systems Engineering, Dynamical Systems +12

Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

Koen Engelborghs, Tatyana Luzyanina, Dirk Roose · ACM Transactions on Mathematical Software · 2002 · 731 citations

Natural Sciences, Mathematics, Differential Equations +16

DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations

Koen Engelborghs, Tatyana Luzyanina, Giovanni Samaey · 2001 · 405 citations

Natural Sciences, Mathematics, Differential Equations +15

Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros

Tomáš Vyhlídal · IEEE Transactions on Automatic Control · 2009 · 288 citations

Computing, Computer Science, Mathematics +10

Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations

Dimitri Breda, Stefano Maset, Rossana Vermiglio · SIAM Journal on Scientific Computing · 2005 · 254 citations

Natural Sciences, Computational Engineering, Mathematics +17