44 citations · 102 across the 4 of their papers we have counts for
5 papers
Nonlinear vibration localisation in a symmetric system of two coupled beams
Filipe Fontanela, Alessandra Vizzaccaro, Jeanne Auvray +4
We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bi…
A Quantum algorithm for linear PDEs arising in Finance
Filipe Fontanela, Antoine Jacquier, Mugad Oumgari
We propose a hybrid quantum-classical algorithm, originated from quantum chemistry, to price European and Asian options in the Black-Scholes model. Our approach is based on the equ…
Multistability and localization in forced cyclic symmetric structures modelled by weakly-coupled Duffing oscillators
A. Papangelo, F. Fontanela, A. Grolet +2
Many engineering structures are composed of weakly coupled sectors assembled in a cyclic and ideally symmetric configuration, which can be simplified as forced Duffing oscillators.…
Dissipative solitons in forced cyclic and symmetric structures
Filipe Fontanela, Aurelien Grolet, Loic Salles +4
The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In th…
Dark solitons, modulation instability and breathers in a chain of weakly non-linear oscillators with cyclic symmetry
F. Fontanela, A. Grolet, L. Salles +2
In the aerospace industry the trend for light-weight structures and the resulting complex dynamic behaviours currently challenge vibration engineers. In many cases, these light-wei…