Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems, Chueshov Igor, SchmalfuЯ Bjцrn
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.
Автор: Mohamad S. Alwan; Xinzhi Liu Название: Theory of Hybrid Systems: Deterministic and Stochastic ISBN: 9811080453 ISBN-13(EAN): 9789811080456 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.
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: Kyandoghere Kyamakya; Wolfgang Mathis; Ruedi Stoop Название: Recent Advances in Nonlinear Dynamics and Synchronization ISBN: 3319589954 ISBN-13(EAN): 9783319589954 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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.
Автор: Kyandoghere Kyamakya; Wolfgang Mathis; Ruedi Stoop Название: Recent Advances in Nonlinear Dynamics and Synchronization ISBN: 3319865277 ISBN-13(EAN): 9783319865270 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Christoph Kawan Название: Invariance Entropy for Deterministic Control Systems ISBN: 3319012878 ISBN-13(EAN): 9783319012872 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control 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: 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 Рейтинг: Цена: 11878.00 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.
Автор: Awrejcewicz Jan Et Al Название: Deterministic Chaos In One Dimensional Continuous Systems ISBN: 9814719692 ISBN-13(EAN): 9789814719698 Издательство: World Scientific Publishing Рейтинг: Цена: 28512.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time.
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