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  3. Nonlinear Dynamics
  • Cited by 127
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2010
      October 2001
      ISBN:
      9780511754050
      9780521551861
      9780521558747
      DOI:
      https://doi.org/10.1017/CBO9780511754050
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.7kg, 316 Pages
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.61kg, 316 Pages
      • Subjects:
      Economics, Mathematics, Abstract Analysis, Econometrics and Mathematical Methods
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    • Selected: Digital
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    Subjects:
    Economics, Mathematics, Abstract Analysis, Econometrics and Mathematical Methods
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    Book description

    A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources

    Reviews

    ‘… the book is well written and contains lots of useful information. It will serve as a good reference on dynamical systems both for students and researchers.‘

    Source: Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

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