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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 in the pioneering work on the continuation of periodic orbits by Hénon and others laid the groundwork for

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 were focused on the interactions between mathematics (mainly differential geometry) and physics (geometric mechanics, classical field theory), but

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 work on reaction–diffusion systems, followed by the influential chemotaxis model by Patlak, Keller, and Segel in the 1950s

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 term, which takes into account the interactions with the other species. For example, such systems arise when modelling