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Bachelor thesis

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cc-by-nc-nd (c) Christian Guerrero Gómez, 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/177034

Aplicación de la dinámica simbólica en la teoría del caos

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[en] The aim of this project is to prove the Smale-Birkhoff Theorem, which provides sufficient conditions for a dynamical system to show chaotic behavior. In order to achieve this purpose, it will be apparent that symbolic dynamics play an essential role. This technique consists in characterizing the orbits of a dynamical system with bi-infinite sequences of symbols, so its structure is displayed in a simpler way, while preserving the information concerning to the dynamics. It gives the chance to perform qualitative analysis without the need of manipulating directly the complicated structure that these systems have.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Ernest Fontich

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GUERRERO GÓMEZ, Christian. Aplicación de la dinámica simbólica en la teoría del caos. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/177034

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