國立高雄大學圖資館 |

Language: English

Back

Discrete dynamicsbasic theory and examples /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete dynamicsby 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.
Contained By:	Springer Nature eBook
Subject:	Dynamics.
Online resource:	https://doi.org/10.1007/978-3-030-95092-7
ISBN:	9783030950927$q(electronic bk.)

Discrete dynamicsbasic 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$q(electronic bk.)

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

189568
Dynamics.

LC Class. No.: QA845 / .B33 2022

Dewey Class. No.: 531.11

Discrete dynamicsbasic theory and examples /
LDR:02378nmm a2200349 a 4500 001 623027
003 DE-He213
005 20220302053333.0
006 m d
007 cr nn 008maaau
008 221209s2022 sz s 0 eng d
020 $a 9783030950927$q(electronic bk.)
020 $a 9783030950910$q(paper)
024 7 $a 10.1007/978-3-030-95092-7 $2 doi
035 $a 978-3-030-95092-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA845 $b .B33 2022
072 7 $a TJFM $2 bicssc
072 7 $a GPFC $2 bicssc
072 7 $a TEC004000 $2 bisacsh
072 7 $a TJFM $2 thema
082 0 4 $a 531.11 $2 23
090 $a QA845 $b .B117 2022
100 1 $a Bacciotti, Andrea. $3 256294
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 189568
650 1 4 $a Control and Systems Theory. $3 825946
650 2 4 $a Dynamical Systems. $3 913342
650 2 4 $a Applied Dynamical Systems. $3 913436
650 2 4 $a Differential Equations. $3 285983
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Mathematical engineering. $3 675334
856 4 0 $u https://doi.org/10.1007/978-3-030-95092-7
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)