10 citations · 26 across the 7 of their papers we have counts for
8 papers
Approximating evolution operators of linear delay equations: a general framework for the convergence analysis
Alessia andò, Giusy Bosco, Dimitri Breda +1
We consider the problem of discretizing evolution operators of linear delay equations with the aim of approximating their spectra, which is useful in investigating the stability pr…
New functionalities in MatCont: delay equations and Lyapunov exponents
Davide Liessi, Enrico Santi, Rossana Vermiglio +3
MatCont is a powerful toolbox for numerical bifurcation analysis focussing on smooth ODEs. A user can study equilibria, periodic and connecting orbits, and their stability and bifu…
Lyapunov exponents of renewal equations: numerical approximation and convergence analysis
Dimitri Breda, Davide Liessi
We propose a numerical method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type), consisting first in applying a discrete QR technique to…
A practical approach to computing Lyapunov exponents of renewal and delay equations
Dimitri Breda, Davide Liessi
We propose a method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type) and of coupled systems of renewal and delay differential equations.…
Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects
Dimitri Breda, Davide Liessi, Sjoerd M. Verduyn Lunel
In this work we begin a theoretical and numerical investigation on the spectra of evolution operators of neutral renewal equations, with the stability of equilibria and periodic or…
A practical guide to piecewise pseudospectral collocation for Floquet multipliers of delay equations in MATLAB
Dimitri Breda, Davide Liessi, Rossana Vermiglio
In recent years we provided numerical methods based on pseudospectral collocation for computing the Floquet multipliers of different types of delay equations, with the goal of stud…
A pseudospectral method for investigating the stability of linear population models with two physiological structures
Alessia Andò, Simone De Reggi, Davide Liessi +1
The asymptotic stability of the null equilibrium of a linear population model with two physiological structures formulated as a first-order hyperbolic PDE is determined by the spec…
Piecewise discretization of monodromy operators of delay equations on adapted meshes
Dimitri Breda, Davide Liessi, Rossana Vermiglio
Periodic solutions of delay equations are usually approximated as continuous piecewise polynomials on meshes adapted to the solutions' profile. In practical computations this affec…