Описание: This book surveys research on nonlinearities in musical systems, discusses tools for analyzing sounds in the Fourier and the phase space domains, and introduces the Finite-Element and Finite-Difference methods for physical modeling of musical instruments.
Автор: Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi Название: Advances in Synchronization of Coupled Fractional Order Systems ISBN: 3030067521 ISBN-13(EAN): 9783030067526 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
Автор: Nicol?s Rubido Название: Energy Transmission and Synchronization in Complex Networks ISBN: 3319222155 ISBN-13(EAN): 9783319222158 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction.- Complex Networks.- Transmission of Energy.- Synchronisation.- General conclusions.
Автор: Grigory V. Osipov; J?rgen Kurths; Changsong Zhou Название: Synchronization in Oscillatory Networks ISBN: 3642090354 ISBN-13(EAN): 9783642090356 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few.
Автор: Jan Frederik Totz Название: Synchronization and Waves in Active Media ISBN: 3030110567 ISBN-13(EAN): 9783030110567 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This book introduces recent results on output synchronization of complex dynamical networks with single and multiple weights. It discusses novel research ideas and a number of definitions in complex dynamical networks, such as H-Infinity output synchronization, adaptive coupling weights, multiple weights, the relationship between output strict passivity and output synchronization. Furthermore, it methodically edits the research results previously published in various flagship journals and presents them in a unified form. The book is of interest to university researchers and graduate students in engineering and mathematics who wish to study output synchronization of complex dynamical networks.
Автор: Ahmad Taher Azar; Sundarapandian Vaidyanathan; Ade Название: Fractional Order Control and Synchronization of Chaotic Systems ISBN: 3319502484 ISBN-13(EAN): 9783319502489 Издательство: Springer Рейтинг: Цена: 39130.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 PID 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.
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.
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 Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.
Описание: This book surveys research on nonlinearities in musical systems, discusses tools for analyzing sounds in the Fourier and the phase space domains, and introduces the Finite-Element and Finite-Difference methods for physical modeling of musical instruments.
Автор: Alexander Balanov; Natalia Janson; Dmitry Postnov; Название: Synchronization ISBN: 3642091288 ISBN-13(EAN): 9783642091285 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: General Mechanisms of Synchronization.- General Remarks.- 1?: ?1 Forced Synchronization of Periodic Oscillations.- 1?: ?1 Mutual Synchronization of Periodic Oscillations.- Homoclinic Mechanism of Synchronization of Periodic Oscillations.- n?: ?m Synchronization of Periodic Oscillations.- 1?: ?1 Forced Synchronization of Periodic Oscillations in the Presence of Noise.- Chaos Synchronization.- Synchronization of Noise-Induced Oscillations.- Conclusions to Part I.- Case Studies in Synchronization.- Synchronization of Anisochronous Oscillators.- Phase Multistability.- Synchronization in Systems with Complex Multimode Dynamics.- Synchronization of Systems with Resource Mediated Coupling.- Conclusions to Part
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