Andrea Bacciotti: Discrete Dynamics

Cover: 9783030950941 | Discrete Dynamics | Basic Theory and Examples | Andrea Bacciotti

Rückseite: 9783030950941 | Discrete Dynamics | Basic Theory and Examples | Andrea Bacciotti

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Sprache: Englisch

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Beschreibung

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.

Über 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-[...]).

Zusammenfassung

Provides a detailed exposition of stability and bifurcation theory for fixed and periodic points

Contains many examples and simulations taken from economy, engineering, epidemiology and population theory

Includes a study of the dynamical behavior of linear systems defined by positive matrices

Inhaltsverzeichnis

Discrete dynamical systems.- Stability and attraction.- Bifurcations.- Positive linear systems.

Details

Erscheinungsjahr:	2023
Fachbereich:	Nachrichtentechnik
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Mathematical Engineering
Inhalt:	xiii 142 S. 4 s/w Illustr. 29 farbige Illustr. 142 p. 33 illus. 29 illus. in color.
ISBN-13:	9783030950941
ISBN-10:	3030950948
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Bacciotti, Andrea
Hersteller:	Springer Springer International Publishing AG Mathematical Engineering
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 9 mm
Von/Mit:	Andrea Bacciotti
Erscheinungsdatum:	04.03.2023
Gewicht:	0,248 kg