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Discrete dynamics = basic theory and...

Bacciotti, Andrea.

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Discrete dynamics = basic theory and examples /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete dynamics/ by Andrea Bacciotti.
Reminder of title:	basic theory and examples /
Author:	Bacciotti, Andrea.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xiii, 142 p. :ill., digital ;24 cm.
[NT 15003449]:	Discrete dynamical systems -- Stability and attraction -- Bifurcations -- Positive linear systems.
Contained By:	Springer Nature eBook
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1007/978-3-030-95092-7
ISBN:	9783030950927

Discrete dynamics = basic theory and examples /
Bacciotti, Andrea.

Discrete dynamicsbasic theory and examples /[electronic resource] :by Andrea Bacciotti. - Cham :Springer International Publishing :2022. - xiii, 142 p. :ill., digital ;24 cm. - Mathematical engineering,2192-4740. - Mathematical engineering..

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

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.

ISBN: 9783030950927

Standard No.: 10.1007/978-3-030-95092-7doiSubjects--Topical Terms:

519830
Dynamics.

LC Class. No.: QA845 / .B33 2022

Dewey Class. No.: 531.11

Discrete dynamics = basic theory and examples /
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100 1 $a Bacciotti, Andrea. $3 752973
245 1 0 $a Discrete dynamics $h [electronic resource] : $b basic theory and examples / $c by Andrea Bacciotti.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xiii, 142 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical engineering, $x 2192-4740
505 0 $a Discrete dynamical systems -- Stability and attraction -- Bifurcations -- Positive linear systems.
520 $a 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.
650 0 $a Dynamics. $3 519830
650 1 4 $a Control and Systems Theory. $3 3381515
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Applied Dynamical Systems. $3 3538870
650 2 4 $a Differential Equations. $3 907890
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830 0 $a Mathematical engineering. $3 2055144
856 4 0 $u https://doi.org/10.1007/978-3-030-95092-7
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)