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memoria.pdf (926.25 KB)

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Bachelor thesis

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2019-01-18

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cc-by-nc-nd (c) Hari Jeon Im, 2019
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/136466

Anàlisi numèrica del caos determinista

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[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.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Àngel Jorba i Monte

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Sistemes hamiltonians, Treballs de fi de grau, Anàlisi numèrica, Equacions diferencials ordinàries, Caos (Teoria de sistemes), Sistemes dinàmics de baixa dimensió

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Hamiltonian systems, Bachelor's theses, Numerical analysis, Ordinary differential equations, Chaotic behavior in systems, Low-dimensional dynamical systems

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

JEON IM, Hari. Anàlisi numèrica del caos determinista. [consulted: 17 of October of 2026]. Available at: https://hdl.handle.net/2445/136466

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