國立高雄大學圖資館 |

Language: English

Back

Complex and adaptive dynamical systemsa comprehensive introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex and adaptive dynamical systemsby Claudius Gros.
Reminder of title:	a comprehensive introduction /
Author:	Gros, Claudius.
Published:	Cham :Springer International Publishing :2024.
Description:	xv, 461 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differentiable dynamical systems.
Online resource:	https://doi.org/10.1007/978-3-031-55076-8
ISBN:	9783031550768$q(electronic bk.)

Complex and adaptive dynamical systemsa comprehensive introduction /
Gros, Claudius.

Complex and adaptive dynamical systemsa comprehensive introduction /[electronic resource] :by Claudius Gros. - Fifth edition. - Cham :Springer International Publishing :2024. - xv, 461 p. :ill., digital ;24 cm.

Network Theory -- Bifurcations and Chaos in Dynamical Systems -- Dissipation, Noise and Adaptive Systems -- Self Organization -- Information Theory of Complex Systems -- Self-Organized Criticality -- Random Boolean Networks -- Darwinian Evolution, Hypercycles and Game Theory -- Synchronization Phenomena -- Complexity of Machine Learning -- Solutions.

This textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced and explained on the run. All derivations are presented step-by-step. This new fifth edition has been fully revised and includes a new chapter, a range of new sections, figures and exercises. The Solution chapter has been reorganized for clarity. The core aspects of modern complex system sciences are presented in the first chapters, covering the foundations of network- and dynamical system theory, with a particular focus on scale-free networks and tipping phenomena. The notion of deterministic chaos is treated together with bifurcation theory and the intricacies of time delays. Modern information theoretical principles are discussed in further chapters, together with the notion of self-organized criticality, synchronization phenomena, and a game-theoretical treatment of the tragedy of the commons. The dynamical systems view of modern machine learning is presented in a new chapter. Chapters include exercises and suggestions for further reading. The textbook is suitable for graduate and advanced undergraduate students. The prerequisites are the basic mathematical tools of courses in natural sciences, computer science or engineering.

ISBN: 9783031550768$q(electronic bk.)

Standard No.: 10.1007/978-3-031-55076-8doiSubjects--Topical Terms:

183764
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .G76 2024

Dewey Class. No.: 515.352

Complex and adaptive dynamical systemsa comprehensive introduction /
LDR:02729nmm a2200337 a 4500 001 659512
003 DE-He213
005 20240514130341.0
006 m d
007 cr nn 008maaau
008 240927s2024 sz s 0 eng d
020 $a 9783031550768$q(electronic bk.)
020 $a 9783031550751$q(paper)
024 7 $a 10.1007/978-3-031-55076-8 $2 doi
035 $a 978-3-031-55076-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.8 $b .G76 2024
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 515.352 $2 23
090 $a QA614.8 $b .G877 2024
100 1 $a Gros, Claudius. $3 275988
245 1 0 $a Complex and adaptive dynamical systems $h [electronic resource] : $b a comprehensive introduction / $c by Claudius Gros.
250 $a Fifth edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xv, 461 p. : $b ill., digital ; $c 24 cm.
505 0 $a Network Theory -- Bifurcations and Chaos in Dynamical Systems -- Dissipation, Noise and Adaptive Systems -- Self Organization -- Information Theory of Complex Systems -- Self-Organized Criticality -- Random Boolean Networks -- Darwinian Evolution, Hypercycles and Game Theory -- Synchronization Phenomena -- Complexity of Machine Learning -- Solutions.
520 $a This textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced and explained on the run. All derivations are presented step-by-step. This new fifth edition has been fully revised and includes a new chapter, a range of new sections, figures and exercises. The Solution chapter has been reorganized for clarity. The core aspects of modern complex system sciences are presented in the first chapters, covering the foundations of network- and dynamical system theory, with a particular focus on scale-free networks and tipping phenomena. The notion of deterministic chaos is treated together with bifurcation theory and the intricacies of time delays. Modern information theoretical principles are discussed in further chapters, together with the notion of self-organized criticality, synchronization phenomena, and a game-theoretical treatment of the tragedy of the commons. The dynamical systems view of modern machine learning is presented in a new chapter. Chapters include exercises and suggestions for further reading. The textbook is suitable for graduate and advanced undergraduate students. The prerequisites are the basic mathematical tools of courses in natural sciences, computer science or engineering.
650 0 $a Differentiable dynamical systems. $3 183764
650 0 $a Adaptive control systems. $3 182317
650 1 4 $a Complex Systems. $3 558544
650 2 4 $a Applied Dynamical Systems. $3 913436
650 2 4 $a Graph Theory. $3 522732
650 2 4 $a Dynamical Systems. $3 913342
650 2 4 $a Mathematical Models of Cognitive Processes and Neural Networks. $3 567118
650 2 4 $a Stochastic Networks. $3 924262
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-55076-8
950 $a Physics and Astronomy (SpringerNature-11651)