Por favor, use este identificador para citar o enlazar este documento: https://hdl.handle.net/2445/176954
Título: Numerical investigation of the transition from conservative to weakly-dissipative dynamics
Autor: Elebiary Loren, Daniel
Director/Tutor: Vieiro Yanes, Arturo
Materia: Sistemes dinàmics diferenciables
Treballs de fi de grau
Teoria de la bifurcació
Sistemes hamiltonians
Sistemes dinàmics hiperbòlics
Differentiable dynamical systems
Bachelor's theses
Bifurcation theory
Hamiltonian systems
Hyperbolic dynamical systems
Fecha de publicación: 21-jun-2020
Resumen: [en] Sometimes, conservative dynamical systems model an idealization of real-life processes, but non-conservative forces, such as friction, can play an important role in the (long-term) evolution of the system, and hence they must be considered in order to describe the process more accurately. The main goal of this work is to study the transition from conservative to weakly-dissipative dynamics. To this end, we consider the effect of dissipation in area-preserving maps. The structure of the conservative phase space is explained in the first chapter with the help of several numerical illustrations. In the second chapter, we design some numerical experiments in order to investigate some of the properties of the transition to the dissipative regime, along with a general description of this scenario.
Nota: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Arturo Vieiro Yanes
URI: https://hdl.handle.net/2445/176954
Aparece en las colecciones:Treballs Finals de Grau (TFG) - Matemàtiques

Archivos de este documento:
Archivo Descripción DimensionesFormato 
176954.pdfMemoria10.89 MBAdobe PDFMostrar/Abrir


Este documento está sujeto a una Licencia Creative Commons Creative Commons