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Analytic and numerical tools for the study of quasi-periodic motions in Hamiltonian Systems

Author
Luque, A.
Type of activity
Theses
Doctorate programme unit
School of Mathematics and Statistics (FME)
Other related units
Department of Applied Mathematics I
Defense's date
2010-01-12
Award
2012 UPC Phd award
Repository
http://hdl.handle.net/2117/94010 Open in new window
URL
http://hdl.handle.net/2117/94010 Open in new window
Abstract
It is well-known that quasi-periodic solutions play a relevant role in order to understand the dynamics of problems with Hamiltonian formulation, which appear in a wide set of applications in Astrodynamics, Molecular Dynamics, Beam/Plasma Physics or Celestial Mechanics.

Roughly speaking, we can say that KAM theory gathers a collection of techniques and methodologies to study quasi-periodic solutions (that is, functions depending on a set of frequencies) of differential equations typical...
Group of research
EGSA - Differential Equations, Geometry, Control and Dynamical Systems, and Applications
SD - UPC Dynamical Systems
Citation
Luque Jimenez, A. "Analytic and numerical tools for the study of quasi-periodic motions in hamiltonian systems.". Tesi doctoral, UPC, Departament de Matemàtica Aplicada I, 2010.

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