東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Dynamics- Mathematics." ]

切換: 標籤 | MARC模式 | ISBD

Advances in synchronization of coupl...

Martinez-Guerra, Rafael.

FindBook

Google Book

Amazon

博客來

Advances in synchronization of coupled fractional order systems = fundamentals and methods /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advances in synchronization of coupled fractional order systems/ by Rafael Martinez-Guerra, Claudia Alejandra Perez-Pinacho.
其他題名:	fundamentals and methods /
作者:	Martinez-Guerra, Rafael.
其他作者:	Perez-Pinacho, Claudia Alejandra.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xix, 185 p. :digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Fractional calculus. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-93946-9
ISBN:	9783319939469

Advances in synchronization of coupled fractional order systems = fundamentals and methods /
Martinez-Guerra, Rafael.

Advances in synchronization of coupled fractional order systemsfundamentals and methods /[electronic resource] :by Rafael Martinez-Guerra, Claudia Alejandra Perez-Pinacho. - Cham :Springer International Publishing :2018. - xix, 185 p. :digital ;24 cm. - 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:

898980
Fractional calculus.

LC Class. No.: QA314 / .M378 2018

Dewey Class. No.: 515.83

Advances in synchronization of coupled fractional order systems = fundamentals and methods /
LDR:03354nmm a2200301 a 4500 001 2152593
003 DE-He213
005 20190213113814.0
006 m d
007 cr nn 008maaau
008 190403s2018 gw s 0 eng d
020 $a 9783319939469 $q (electronic bk.)
020 $a 9783319939452 $q (paper)
024 7 $a 10.1007/978-3-319-93946-9 $2 doi
035 $a 978-3-319-93946-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA314 $b .M378 2018
082 0 4 $a 515.83 $2 23
090 $a QA314 $b .M385 2018
100 1 $a Martinez-Guerra, Rafael. $3 2057414
245 1 0 $a Advances in synchronization of coupled fractional order systems $h [electronic resource] : $b fundamentals and methods / $c by Rafael Martinez-Guerra, Claudia Alejandra Perez-Pinacho.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xix, 185 p. : $b digital ; $c 24 cm.
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 Fractional calculus. $3 898980
650 0 $a System analysis. $3 545616
650 0 $a Dynamics $x Mathematics. $3 612742
650 1 4 $a Physics. $3 516296
650 2 4 $a Statistical Physics and Dynamical Systems. $3 3135115
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 3134772
650 2 4 $a Complexity. $3 893807
700 1 $a Perez-Pinacho, Claudia Alejandra. $3 3339048
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 1568162
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-93946-9
950 $a Physics and Astronomy (Springer-11651)