5 papers · 1 filter
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…
Sparse identification of delay equations with distributed memory
Dimitri Breda, Muhammad Tanveer, Jianhong Wu
We present a novel extension of the SINDy framework to delay differential equations with {\it distributed delays} and {\it renewal equations}, where typically the dependence from t…
Data-driven Methods for Delay Differential Equations
Dimitri Breda, Xunbi A. Ji, Gábor Orosz +1
Data-driven methodologies are nowadays ubiquitous. Their rapid development and spread have led to applications even beyond the traditional fields of science. As far as dynamical sy…
On the numerical computation of in periodic environments
Dimitri Breda, Simone De Reggi, Jordi Ripoll
We propose a novel approach to approximate the basic reproduction number as spectral radius of the Next-Generation Operator in time-periodic population models by characterizi…
Sparse Identification of Nonlinear Dynamics for Stochastic Delay Differential Equations
Dimitri Breda, Dajana Conte, Raffaele D'Ambrosio +2
A general framework for recovering drift and diffusion dynamics from sampled trajectories is presented for the first time for stochastic delay differential equations. The core reli…