@article{1463175,
      recid = {1463175},
      author = {Dilão, Rui,},
      title = {Dynamical system and chaos : an introduction with  applications /},
      pages = {1 online resource (ix, 326 pages) :},
      abstract = {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.},
      url = {http://library.usi.edu/record/1463175},
      doi = {https://doi.org/10.1007/978-3-031-25154-2},
}