Książka Dynamical System and Chaos Rui Dilão

Dynamical System and Chaos

An Introduction with Applications

Autor: Rui Dilão
Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
251.91
This textbook introduces the language and the techniques of the theory of dynamical systems of finit...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2023
strony
326
EAN
9783031251566
Enbook ID
45533624
Waga
572
Wymiary
155 x 235

Pełny opis

This textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful. The first part is an introductory course on dynamical systems theory. It can be taught at the master's level during one semester, not requiring specialized mathematical training. In the second part, the author describes some applications of the theory of dynamical systems. Topics often appear in modern dynamical systems and complexity theories, such as singular perturbation theory, delayed equations, cellular automata, fractal sets, maps of the complex plane, and stochastic iterations of function systems are briefly explored for advanced students. The author also explores applications in mechanics, electromagnetism, celestial mechanics, nonlinear control theory, and macroeconomy. A set of problems consolidating the knowledge of the different subjects, including more elaborated exercises, are provided for all chapters.

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