A posteriori validation of generalized polynomial chaos expansions

M Breden - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
Generalized polynomial chaos (gPC) expansions are a powerful tool for studying differential
equations with random coefficients, allowing, in particular, one to efficiently approximate …

From the Lagrange Triangle to the Figure Eight Choreography: Proof of Marchal's Conjecture

R Calleja, C García-Azpeitia, O Hénot… - arXiv preprint arXiv …, 2024 - arxiv.org
For the three body problem with equal masses, we prove that the most symmetric
continuation class of Lagrange's equilateral triangle solution, also referred to as the $ P …

[HTML][HTML] On the transition between autonomous and nonautonomous systems: The case of FitzHugh–Nagumo's model

IP Longo, E Queirolo, C Kuehn - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
This work deals with a parametric linear interpolation between an autonomous FitzHugh–
Nagumo model and a nonautonomous skewed problem with the same fundamental …