13 citations · 39 across the 20 of their papers we have counts for
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Singular Aubry--Mather Sets for a Homogeneous Single-Input Control System
Bernard Bonnard, Cristian Mendico
We develop an Aubry--Mather theory for the abnormal arcs of a time-minimal single-input affine control system in dimension three with homogeneous cubic drift. We show that the Bonn…
A Fully Discrete Variational Approximation of Mather Measures and Sets
Fabio Camilli, Cristian Mendico
We introduce a fully--discrete variational approximation of Mather measures and sets for Tonelli Lagrangians on the flat torus, together with a numerical procedure for approximatin…
State-Dependent Delays in Optimal Control and Hamilton--Jacobi Equations
Yiming Jiang, Cristian Mendico, Yawei Wei +2
We develop a Hamilton--Jacobi theory for finite-horizon optimal control problems governed by state-dependent delay equations. In this setting, the delayed-time map depends on the c…
Semi-discrete approximation of Mañé, Aubry and Mather sets
Fabio Camilli, Cristian Mendico
We study a variational discretization in time of Aubry--Mather theory for Tonelli Lagrangians on the flat torus. We define discrete Mañé, Aubry and Mather sets, establish their com…
Multimodal branched transport infers anatomically aligned brain reaction maps
Cristian Mendico
How external stimulation is transformed into distributed reaction patterns remains unresolved at the level of propagation architecture. Existing large-scale control models quantify…
Branched Optimal Transport for Stimulus to Reaction Brain Mapping
Cristian Mendico
A central problem in systems neuroscience is to determine how an external stimulation is propagated through the brain so as to produce a reaction. Current deterministic and stochas…