230 citations · 966 across the 44 of their papers we have counts for
3 papers · 1 filter
Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach
Emiliano Cristiani, Pierre Martinon
The aim of this paper is to investigate from the numerical point of view the possibility of coupling the Hamilton-Jacobi-Bellman (HJB) equation and Pontryagin's Minimum Principle (…
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-or…
Effects of anisotropic interactions on the structure of animal groups
Emiliano Cristiani, Paolo Frasca, Benedetto Piccoli
This paper proposes an agent-based model which reproduces different structures of animal groups. The shape and structure of the group is the effect of simple interaction rules amon…