Josep Masdemont (DMAT, IMTech) The collinear equilibrium points of the Restricted Three-Body Problem (RTBP) were first described by the Swiss mathematician Leonhard Euler in the 18th century. The foundational understanding of libration point orbits has its roots …

Geometric Mechanics, Vol. 2, No. 3 (2025), 337–383. Sebastià Xambó (DMAT) This work is dedicated to the memory of Miguel Carlos Muñoz Lecanda (MCML) (1946-2023), who was a Full Professor at UPC. Broadly speaking, his scientific interests …

Gissell Estrada-Rodríguez (DMAT, CRM) Mathematical modelling of biological, physical, and social phenomena using partial differential equations (PDEs) to describe the average behaviour of underlying microscopic (individual-level) dynamics has received significant attention [6, 11]. Since A. Turing’s foundational …

Inmaculada Baldomá Barraca (DMAT, CRM) In a wide range of physical, chemical, and biological systems modelling the interaction among different species, the dynamics of each species is usually governed by a diffusion mechanism together with a reaction …

(DMAT, IMTech) A qubit is a two-state quantum-mechanical system. For example, the intrinsic angular momentum (spin) of an electron is such a system. It only takes two values when measured in arbitrary spatial direction, say by measuring …

Nature Materials volume 22, pages1409–1420 (2023). The cell skeleton (cytoskeleton) is formed by multiple filaments of different mechanical properties, creating a dense mesh with diverse and complex responses. These cytoskeleton networks interact with the extracellular matrix (ECM) …

(UPC) and  (UB, CRM). Received November 28, 2023. Consider the N -body problem, namely the motion of N bodies in 3-dimensional space subject to the Newtonian universal attraction: where x_{j} ∈ ℝ^{3} is the position and m_{j} …

(UB), (DMAT, IMTech, CRM), and (CSIC, ICMAT). Received September 26, 2023 1. Introduction Fundamental to the understanding of physical phenomena and dynamical systems in general is the study of the computational complexity that may arise in a …

(Maria de Maeztu fellow at CRM) Received September 18, 2023. Computer Vision is the area of Artificial Inteligence that focuses on computer perception and processing of images. One of the main problems that arise in this area …