國立虎尾科技大學 |

Advances in Synchronization of Coupled Fractional Order Systems = Fundamentals and Methods /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Advances in Synchronization of Coupled Fractional Order Systems/ by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho.
Reminder of title:	Fundamentals and Methods /
Author:	Martínez-Guerra, Rafael.
other author:	Pérez-Pinacho, Claudia Alejandra.
Description:	XIX, 185 p. 66 illus., 59 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistical physics. -
Online resource:	https://doi.org/10.1007/978-3-319-93946-9
ISBN:	9783319939469

Advances in Synchronization of Coupled Fractional Order Systems = Fundamentals and Methods /
Martínez-Guerra, Rafael.

Advances in Synchronization of Coupled Fractional Order SystemsFundamentals and Methods /[electronic resource] :by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho. - 1st ed. 2018. - XIX, 185 p. 66 illus., 59 illus. in color.online resource. - Understanding Complex Systems,1860-0832. - Understanding Complex Systems,.

Preface -- Introduction -- Basic Concepts and Preliminares -- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications -- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach -- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer -- Estimators for a class of commensurate fractional order systems with Caputo derivative -- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller -- An Observer for a Class of Incommensurate Fractional Order Systems -- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators -- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer -- Appendix -- Index.

After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering. As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few. This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems. .

ISBN: 9783319939469

Standard No.: 10.1007/978-3-319-93946-9doiSubjects--Topical Terms:

528048
Statistical physics.

LC Class. No.: QC174.7-175.36

Dewey Class. No.: 530.1

Advances in Synchronization of Coupled Fractional Order Systems = Fundamentals and Methods /
LDR:03845nam a22004095i 4500 001 987552
003 DE-He213
005 20200704024106.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319939469 $9 978-3-319-93946-9
024 7 $a 10.1007/978-3-319-93946-9 $2 doi
035 $a 978-3-319-93946-9
050 4 $a QC174.7-175.36
072 7 $a PHS $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHS $2 thema
082 0 4 $a 530.1 $2 23
100 1 $a Martínez-Guerra, Rafael. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1262653
245 1 0 $a Advances in Synchronization of Coupled Fractional Order Systems $h [electronic resource] : $b Fundamentals and Methods / $c by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XIX, 185 p. 66 illus., 59 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Understanding Complex Systems, $x 1860-0832
505 0 $a Preface -- Introduction -- Basic Concepts and Preliminares -- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications -- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach -- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer -- Estimators for a class of commensurate fractional order systems with Caputo derivative -- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller -- An Observer for a Class of Incommensurate Fractional Order Systems -- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators -- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer -- Appendix -- Index.
520 $a After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering. As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few. This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems. .
650 0 $a Statistical physics. $3 528048
650 0 $a Vibration. $3 595749
650 0 $a Dynamical systems. $3 1249739
650 0 $a Dynamics. $3 592238
650 0 $a Computational complexity. $3 527777
650 1 4 $a Statistical Physics and Dynamical Systems. $3 1114011
650 2 4 $a Vibration, Dynamical Systems, Control. $3 670825
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 1113607
650 2 4 $a Complexity. $3 669595
700 1 $a Pérez-Pinacho, Claudia Alejandra. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1280013
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319939452
776 0 8 $i Printed edition: $z 9783319939476
776 0 8 $i Printed edition: $z 9783030067526
830 0 $a Understanding Complex Systems, $x 1860-0832 $3 1254579
856 4 0 $u https://doi.org/10.1007/978-3-319-93946-9
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)