Andrea Bacciotti
Discrete Dynamics: Basic Theory and Examples
Discrete Dynamics: Basic Theory and Examples
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- More about Discrete Dynamics: Basic Theory and Examples
This book provides a comprehensive introduction to discrete dynamical systems, focusing on stability, fixed points, and periodic orbits. It offers a solid mathematical foundation and discusses topics often neglected in the research literature, including a comparison between discrete and continuous time models. Numerous examples, numerical simulations, and figures are included to demonstrate the flexibility and potential of the discrete approach. It serves as a reference material for courses at a doctoral or upper undergraduate level in mathematics and theoretical engineering.
Format: Hardback
Length: 142 pages
Publication date: 03 March 2022
Publisher: Springer Nature Switzerland AG
This comprehensive and detailed book provides a thorough introduction to the theory of discrete dynamical systems, with a particular focus on the stability of fixed points and periodic orbits. It offers a solid mathematical foundation and essential basic knowledge for further developments, such as deterministic chaos theory, which has numerous other references but may sometimes lack an exhaustive presentation of preliminary notions. Readers will find a discussion of topics that are sometimes neglected in the research literature, such as a comparison between different predictions achievable by the discrete time model and the continuous time model of the same application. Another novel aspect of this book is an accurate analysis of the way a fixed point may lose stability, introducing and comparing several notions of instability: simple instability, repulsivity, and complete instability. To assist the reader and demonstrate the flexibility and potentiality of the discrete approach to dynamics, numerous examples, numerical simulations, and figures have been included. The book serves as a valuable reference material for courses at the doctoral or upper undergraduate level in mathematics and theoretical engineering.
Weight: 407g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030950910
Edition number: 1st ed. 2022
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