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Advances in Synchronization of Coupled Fractional Order Systems, Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi


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Автор: Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi
Название:  Advances in Synchronization of Coupled Fractional Order Systems
ISBN: 9783030067526
Издательство: Springer
Классификация:






ISBN-10: 3030067521
Обложка/Формат: Soft cover
Страницы: 185
Вес: 0.33 кг.
Дата издания: 2018
Серия: Understanding Complex Systems
Язык: English
Издание: Softcover reprint of
Иллюстрации: 59 tables, color; 59 illustrations, color; 7 illustrations, black and white; xix, 185 p. 66 illus., 59 illus. in color.
Размер: 234 x 156 x 11
Читательская аудитория: General (us: trade)
Основная тема: Physics
Подзаголовок: Fundamentals and Methods
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: 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 Invari



Advances in Synchronization of Coupled Fractional Order Systems

Автор: Mart?nez-Guerra
Название: Advances in Synchronization of Coupled Fractional Order Systems
ISBN: 3319939459 ISBN-13(EAN): 9783319939452
Издательство: Springer
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Цена: 6986.00 р.
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Описание: 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.

Fractional Order Control and Synchronization of Chaotic Systems

Автор: Ahmad Taher Azar; Sundarapandian Vaidyanathan; Ade
Название: Fractional Order Control and Synchronization of Chaotic Systems
ISBN: 3319843567 ISBN-13(EAN): 9783319843568
Издательство: Springer
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Цена: 27950.00 р.
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Описание: Chapter 1 Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control.-Chapter 2 Control of the Temperature of a Finite Diffusive Interface Medium using the CRONE Controller.-Chapter 3 Grey Predictor Assisted Fuzzy and Fractional Order Fuzzy Control of a Moving Cart Inverted Pendulum.-Chapter 4 H Design with Fractional-Order PID Type Controllers.-Chapter 5 On the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAs.- Chapter 6 Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage.-Chapter 7 Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems.- Chapter 8 Optimal Fractional Order Proportional-Integral-Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator.-Chapter 9 Towards a Robust Fractional Order PID Stabilizer for Electric Power Systems.-Chapter 10 Application of Fractional Order Controllers on Experimental and Simulation Model of Hydraulic Servo System.

Boundary Synchronization for Hyperbolic Systems

Автор: Tatsien Li; Bopeng Rao
Название: Boundary Synchronization for Hyperbolic Systems
ISBN: 3030328481 ISBN-13(EAN): 9783030328481
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems.

Synchronization of Integral and Fractional Order Chaotic Systems

Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho;
Название: Synchronization of Integral and Fractional Order Chaotic Systems
ISBN: 3319152831 ISBN-13(EAN): 9783319152837
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.

Fractional Order Control and Synchronization of Chaotic Systems

Автор: Ahmad Taher Azar; Sundarapandian Vaidyanathan; Ade
Название: Fractional Order Control and Synchronization of Chaotic Systems
ISBN: 3319502484 ISBN-13(EAN): 9783319502489
Издательство: Springer
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Цена: 39130.00 р.
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Описание: Chapter 1 Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control.-Chapter 2 Control of the Temperature of a Finite Diffusive Interface Medium using the CRONE Controller.-Chapter 3 Grey Predictor Assisted Fuzzy and Fractional Order Fuzzy Control of a Moving Cart Inverted Pendulum.-Chapter 4 H Design with Fractional-Order PID Type Controllers.-Chapter 5 On the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAs.- Chapter 6 Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage.-Chapter 7 Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems.- Chapter 8 Optimal Fractional Order Proportional-Integral-Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator.-Chapter 9 Towards a Robust Fractional Order PID Stabilizer for Electric Power Systems.-Chapter 10 Application of Fractional Order Controllers on Experimental and Simulation Model of Hydraulic Servo System.

Synchronization of Integral and Fractional Order Chaotic Systems

Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho;
Название: Synchronization of Integral and Fractional Order Chaotic Systems
ISBN: 3319386476 ISBN-13(EAN): 9783319386478
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.

Recent Advances in Nonlinear Dynamics and Synchronization

Автор: Kyandoghere Kyamakya; Wolfgang Mathis; Ruedi Stoop
Название: Recent Advances in Nonlinear Dynamics and Synchronization
ISBN: 3319865277 ISBN-13(EAN): 9783319865270
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

This book focuses on modelling and simulation, control and optimization, signal processing, and forecasting in selected nonlinear dynamical systems, presenting both literature reviews and novel concepts.
 
It develops analytical or numerical approaches, which are simple to use, robust, stable, flexible and universally applicable to the analysis of complex nonlinear dynamical systems. As such it addresses key challenges are addressed, e.g. efficient handling of time-varying dynamics, efficient design, faster numerical computations, robustness, stability and convergence of algorithms.
 
The book provides a series of contributions discussing either the design or analysis of complex systems in sciences and engineering, and the concepts developed involve nonlinear dynamics, synchronization, optimization, machine learning, and forecasting. Both theoretical and practical aspects of diverse areas are investigated, specifically neuroco
mputing, transportation engineering, theoretical electrical engineering, signal processing, communications engineering, and computational intelligence.
 
It is a valuable resource for students and researchers interested in nonlinear dynamics and synchronization with applications in selected areas.


Recent Advances in Nonlinear Dynamics and Synchronization

Автор: Kyandoghere Kyamakya; Wolfgang Mathis; Ruedi Stoop
Название: Recent Advances in Nonlinear Dynamics and Synchronization
ISBN: 3319589954 ISBN-13(EAN): 9783319589954
Издательство: Springer
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Цена: 20962.00 р.
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Описание: On the Construction of Dissipative Polynomial Nambu Systems with Limit Cycles.- On the dynamics of chaotic systems with multiple attractors: A case study.- Multivaluedness Aspects in Self-organization, Complexity and Computations Investigations by Strong Anticipation.- A Review of Traffic Light Control Systems and Introduction of a Control Concept Based on Coupled Nonlinear Oscillators.- Neural network based calibration of macroscopic traffic flow models.- Travelers of the second modernity: where technological and social dynamic complexity meet each other.- Design of a Chaotic Pulse-Position Modulation Circuit.- Emotion Recognition involving Physiological and Speech Signals: A Comprehensive Review.- Neurocomputing-based Matrix Inversion: A critical Review of the related State-of-the-Art.

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

Автор: Nikolai Verichev; Stanislav Verichev; Vladimir Ero
Название: Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
ISBN: 3030361020 ISBN-13(EAN): 9783030361020
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well as their combinations (rotational-vibrational) if the number of cyclic variables is more than one. The specificity of rotator phase space poses serious challenges in terms of selecting methods for studying the dynamics of related systems. The book chiefly focuses on developing a modified form of the method of averaging, which can be used to study the dynamics of rotators. In general, the book uses the “language” of the qualitative theory of differential equations, point mappings, and the theory of bifurcations, which helps authors to obtain new results on dynamical chaos in systems with few degrees of freedom. In addition, a special section is devoted to the study and classification of dynamic structures that can occur in systems with a large number of interconnected objects, i.e. in lattices of rotators and/or oscillators. Given its scope and format, the book can be used both in lectures and courses on nonlinear dynamics, and in specialized courses on the development and operation of relevant systems that can be represented by a large number of various practical systems: interconnected grids of various mechanical systems, various types of networks including not only mechanical but also biological systems, etc.

Synchronization Control for Large-Scale Network Systems

Автор: Wu
Название: Synchronization Control for Large-Scale Network Systems
ISBN: 3319451499 ISBN-13(EAN): 9783319451497
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book provides recent advances in analysis and synthesis of Large-scale network systems (LSNSs) with sampled-data communication and non-identical nodes. In its first chapter of the book presents an introduction to Synchronization of LSNSs and Algebraic Graph Theory as well as an overview of recent developments of LSNSs with sampled data control or output regulation control. The main text of the book is organized into two main parts - Part I: LSNSs with sampled-data communication and Part II: LSNSs with non-identical nodes. This monograph provides up-to-date advances and some recent developments in the analysis and synthesis issues for LSNSs with sampled-data communication and non-identical nodes. It describes the constructions of the adaptive reference generators in the first stage and the robust regulators in the second stage. Examples are presented to show the effectiveness of the proposed design techniques.

Synchronization and Waves in Active Media

Автор: Jan Frederik Totz
Название: Synchronization and Waves in Active Media
ISBN: 3030110567 ISBN-13(EAN): 9783030110567
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy.
In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist?
All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.
Energy Transmission and Synchronization in Complex Networks

Автор: Nicol?s Rubido
Название: Energy Transmission and Synchronization in Complex Networks
ISBN: 3319222155 ISBN-13(EAN): 9783319222158
Издательство: Springer
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Цена: 15672.00 р.
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Описание:

Introduction.- Complex Networks.- Transmission of Energy.- Synchronisation.- General conclusions.


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