Time-Fractional Order Biological Systems with Uncertain Parameters, Rajarama Mohan Jena, Snehashish Chakraverty, Subrat Kumar Jena
Автор: Sethna, James P. (cornell University) Название: Statistical mechanics: entropy, order parameters, and complexity ISBN: 0198865252 ISBN-13(EAN): 9780198865254 Издательство: Oxford Academ Рейтинг: Цена: 6334.00 р. Наличие на складе: Заказано в издательстве.
Описание: A new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.
Автор: Stefan Liebscher Название: Bifurcation without Parameters ISBN: 3319107763 ISBN-13(EAN): 9783319107769 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems.
Описание: Introduction.- Properties of a polycentric oval.-F .- Ruler/Compass constructions of simple ovals.- Ovals with given symmetry axis lines.- Ovals with unknown axis lines.-Inscribing and circumscribing ovals - The frame problem.- The stadium problem and the running track.- Parameter formulas for simple ovals and applications.- Parameter formulas for simple ovals.- Limitations for the frame problem.- Measuring a four-centre oval.- Optimisation problems for ovals.- Ovals with 4n centres.- Remarkable four-centre ovals .-Appendix.-References.-Acknowledgements.
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.
Описание: The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimization loops to maximize positive Lyapunov exponents, Kaplan-Yorke dimension, and entropy.
Автор: Aleksei Tepljakov Название: Fractional-order Modeling and Control of Dynamic Systems ISBN: 3319529498 ISBN-13(EAN): 9783319529493 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.
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.
Описание: This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms
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: Azar, Ahmad Taher Название: Linear and Nonlinear Fractional Order Systems ISBN: 0128135921 ISBN-13(EAN): 9780128135921 Издательство: Elsevier Science Рейтинг: Цена: 28633.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. . This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and 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 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 volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description.Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale.The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified.The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.
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