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

Lluís Alsedà

Lluís Alsedà

UAB – CRM

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Imma Baldomà

Imma Baldomà

UPC – CRM

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Jezabel Curbelo

Jezabel Curbelo

UPC – CRM

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Amadeu Delshams

Amadeu Delshams

UPC – CRM

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Kostiantyn Drach

Kostiantyn Drach

UB – CRM

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Núria Fagella

Núria Fagella

UB – CRM

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Ernest Fontich

Ernest Fontich

UB – CRM

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Armengol Gasull

Armengol Gasull

UAB – CRM

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Marcel Guàrdia

Marcel Guàrdia

UB – CRM

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Alex Haro

Alex Haro

UB – CRM

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Xavier Jarque

Xavier Jarque

UB – CRM

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Àngel Jorba

Àngel Jorba

UB – CRM

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José Tomás Lázaro

José Tomás Lázaro

UPC – CRM

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Pau	Martin

Pau Martin

UPC – CRM

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Tere Martínez-Seara

Tere Martínez-Seara

UPC – CRM

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Josep Masdemont

Josep Masdemont

UPC – CRM

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Mercè Ollé

Mercè Ollé

UPC – CRM

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Joan Torregrosa

Joan Torregrosa

UAB – CRM

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Arturo Vieiro

Arturo Vieiro

UB – CRM

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postdoctoral researchers

Gustavo	Rodrigues-Ferreira

Gustavo Rodrigues-Ferreira

Postdoctoral Fellow - CRM

IP: Núria Fagella

Frank Trujillo

Frank Trujillo

Postdoctoral Fellow - CRM

IP: Marcelo Guàrdia

PHD STUDENTS

Dídac Gil Rams

Dídac Gil Rams

PhD Student - CRM

IP: Imma Baldomà/Pau Martin

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