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https://hdl.handle.net/2445/136466| 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 theses 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 |
| URI: | https://hdl.handle.net/2445/136466 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| memoria.pdf | Memòria | 926.25 kB | Adobe PDF | View/Open |
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