Lecture Notes.pdf

intro-SD.pdf
Preview of Lecture Notes
🔗 Source: yurilima-math.com
📊 Size: 1.26 MB
📄 Pages: 131 pages
⬇️ Downloads: 133

Summary

O texto apresenta uma introdução aos sistemas dinâmicos, abordando equações diferenciais ordinárias, mecânica celeste, sistemas dinâmicos, transformações no círculo, shifts topológicos de Markov e exemplos. Ele começa definindo equações diferenciais ordinárias (EDO) e soluções, discutindo a ordem e dimensão das EDO, e apresenta exemplos e teoremas relacionados, como o Teorema de Existência e Unicidade de EDO's e o Teorema de Peano. O texto também aborda tópicos como homeomorfismos do intervalo, endomorfismos do intervalo, teoremas de Li-Yorke e Sharkovsky, transformações no círculo, shifts topológicos de Markov e exemplos de sistemas dinâmicos.

Description

O texto apresenta uma introdução aos sistemas dinâmicos, abordando equações diferenciais ordinárias, mecânica celeste, sistemas dinâmicos, transformações no...

Technical Information

  • File Format: PDF
  • File Size: 1.26 MB
  • Pages: 131
  • Language: PT
  • Total Downloads: 133
  • Last Updated: 1 week ago

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