Discrete Dynamics: Basic Theory and Examples (Mathematical Engineering) - Softcover

Buch 44 von 45: Mathematical Engineering

Bacciotti, Andrea

 
9783030950941: Discrete Dynamics: Basic Theory and Examples (Mathematical Engineering)
Softcover
ISBN 10: 3030950948 ISBN 13: 9783030950941
Verlag: Springer, 2023

Inhaltsangabe

This book offers a complete and detailed introduction to the theory of discrete dynamical systems, with special attention to stability of fixed points and periodic orbits. It provides a solid mathematical background and the essential basic knowledge for further developments such as, for instance, deterministic chaos theory, for which many other references are available (but sometimes, without an exhaustive presentation of preliminary notions). Readers will find a discussion of topics 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 help the reader and to show the flexibility and potentiality of the discrete approach to dynamics, many examples, numerical simulations, and figures have been included. The book is used as a reference material for courses at a doctoral or upper undergraduate level in mathematics and theoretical engineering.

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Über die Autorin bzw. den Autor

Andrea Bacciotti was Full Professor of Mathematical Analysis at Politecnico di Torino, Italy, where he also served as Dean of the Mathematics Department. His research interests concern ordinary differential equations, differential inclusions, mathematical control theory, and switched systems theory. He is also active in popularization and diffusion of the mathematical culture. With Springer, he already published the books “Liapunov Functions and Stability in Control Theory” (ISBN 978-3-540-21332-1) and “Stability and Control of Linear Systems” (ISBN 978-3-030-02404-8).

Von der hinteren Coverseite

This book offers a complete and detailed introduction to the theory of discrete dynamical systems, with special attention to stability of fixed points and periodic orbits. It provides a solid mathematical background and the essential basic knowledge for further developments such as, for instance, deterministic chaos theory, for which many other references are available (but sometimes, without an exhaustive presentation of preliminary notions). Readers will find a discussion of topics 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 help the reader and to show the flexibility and potentiality of the discrete approach to dynamics, many examples, numerical simulations, and figures have been included. The book is used as a reference material for courses at a doctoral or upper undergraduate level in mathematics and theoretical engineering.

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Verlag
Springer
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3030950948
ISBN 13 
9783030950941
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
156
Kontakt zum Hersteller
ProductSafety@springernature.com
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Darmstadt
64293
Deutschland

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9783030950910: Discrete Dynamics: Basic Theory and Examples (Mathematical Engineering)

Vorgestellte Ausgabe

ISBN 10:  3030950913 ISBN 13:  9783030950910
Verlag: Springer, 2022
Hardcover