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Title: Anàlisi numèrica del caos determinista
Author: Jeon Im, Hari
Keywords: Sistemes hamiltonians
Treballs de fi de grau
Anàlisi numèrica
Equacions diferencials ordinàries
Caos (Teoria de sistemes)
Sistemes dinàmics de baixa dimensió
Hamiltonian systems
Bachelor's thesis
Numerical analysis
Ordinary differential equations
Chaotic behavior in systems
Low-dimensional dynamical systems
Issue Date: 18-Jan-2019
Abstract: [en] In this work we will study, first of all, the deterministic chaos that appears in Hamiltonian systems and, secondly, the chaos in dissipative systems. We will support each step with numerical simulation using a numerical integrator for the computation of solutions. In the analysis of chaos in Hamiltonian systems, we will reproduce the essential results obtained by Michael Hénon in his course Numerical Exploration of Hamiltonian Systems. And, in the analysis of chaos in dissipative systems, we will study Lorenz’s equations. All in all in order to introduce ourselves to the chaotic world and, at the same time, to show the usefulness of the numerical analysis for the study of dynamic systems.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Àngel Jorba i Monte
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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