This line focuses on the modelling and simulation of systems governed by evolution equations.
On the one hand, we consider finite-dimensional dynamical systems modelled by differential equations but also with nonlocal operators from fractional calculus. The research covers chaotic phenomena, intermittency, bifurcation, attractors and mutistability. On the other hand, we consider infinite-dimensional dynamical systems, also modelled by differential equation and fractional calculus. These models arise from the transmission of signals in homogeneous and inhomogeneous materials media. For instance, metamaterial models in electromagnetism, soliton transmission in solid state physics, anomalous radiative transfer in planetary atmospheres. On the computational part, the research studies the creation and adaptation of specific numerical methods for the different models under consideration, representing the symmetries and conservation/variation laws of the systems.