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introduction

Dynamical systems theory looks for the milestones that organize dynamics, essentially their invariant objects and their connections. In this ambitious goal, the group has a recognized track record and a leading role, addressing it through, among others, analytical, geometrical, topological, or numerical tools, which, complemented, also contribute to a deeper understanding of the dynamics of a system. The dynamics of the systems studied, which are real or complex, can be both discrete and continuous, their dimensions are low or high, depending very much on the specific applications.

In low-dimensional systems, the search for periodic orbits and their repercussions on global dynamics is of paramount importance, especially as a result of the associated symbolic, topological, and combinatorial dynamics. The computational and numerical implementation for looking the phase portraits and bifurcation diagrams is also widely used in modelization and other applications.

In high-dimensional systems, the search for invariant tori and their disposition into normally hyperbolic invariant objects is studied especially to describe the skeleton from which emanates global dynamics, such as KAM theory, Arnold diffusion, and associated exponentially small phenomena, with special attention to applications in Celestial Mechanics, Astrodynamics, Neuroscience, and Chemistry.

members

Inmaculada Baldomá

UPC-CRM

immaculada.baldoma@upc.edu

Andrew Clarke

UPC-CRM

andrew.michael.clarke@upc.edu

Jezabel Curbelo

UPC-CRM

jezabel.curbelo@upc.edu

Kostiantyn Drach

UB-CRM

kostiantyn.drach@ub.edu

Núria Fagella

UB-CRM

nfagella@ub.edu

Marcel Guàrdia

UB-CRM

guardia@ub.edu

Alejandro Haro

UB-CRM

alex.haro@ub.edu

Xavier Jarque

UB-CRM

xavier.jarque@ub.edu

Marc Jorba

UPC-CRM

marc.jorba@upc.edu

José Tomás Lázaro

UPC-CRM

jose.tomas.lazaro@upc.edu

Pau Martin

UPC-CRM

p.martin@upc.edu

Maria Teresa Martínez-Seara

UPC-CRM

tere.m-seara@upc.edu

Mercè Olle

UPC-CRM

merce.olle@upc.edu

Leticia Pardo

UB-CRM

lpardosimon@ub.edu

Joan Torregrosa

UAB-CRM

joan.torregrosa@uab.cat

postdoctoral researchers

Gustavo Rodrigues-Ferreira
CRM

Postdoctoral Researcher

grodrigues@crm.cat

IP: Núria Fagella

Frank Trujillo
CRM

Postdoctoral Researcher

ftrujillo@crm.cat

IP: Marcel Guàrdia

PHD STUDENTS

Dídac Gil Rams
CRM

PhD Student

dgil@crm.cat

IP: Imma Baldomà / Pau Martin