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Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems: Using the Methods of Stochastic Processes, Rahimi Tabar M. Reza


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Автор: Rahimi Tabar M. Reza
Название:  Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems: Using the Methods of Stochastic Processes
ISBN: 9783030184742
Издательство: Springer
Классификация:





ISBN-10: 3030184749
Обложка/Формат: Paperback
Страницы: 280
Вес: 0.43 кг.
Дата издания: 14.08.2020
Серия: Understanding complex systems
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 22 illustrations, color; 19 illustrations, black and white; xviii, 280 p. 41 illus., 22 illus. in color.
Размер: 23.39 x 15.60 x 1.60 cm
Читательская аудитория: Professional & vocational
Подзаголовок: Using the methods of stochastic processes
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
​1 Introduction.- 2 Introduction to Stochastic Processes.- 3 Kramers-Moyal Expansion and Fokker-Planck Equation.- 4 Continuous Stochastic Process.- 5 The Langevin Equation and Wiener Process.- 6 Stochastic Integration, It o and Stratonovich Calculi.- 7 Equivalence of Langevin and Fokker-Planck Equations.- 8 Examples of Stochastic Calculus.-9 Langevin Dynamics in Higher Dimensions.- 10 Levy Noise Driven Langevin Equation and its Time Series-Based Reconstruction.- 11 Stochastic Processes with Jumps and Non-Vanishing Higher-Order Kramers-Moyal Coefficients.- 12 Jump-Diffusion Processes.- 13 Two-Dimensional (Bivariate) Jump-Diffusion Processes.- 14 Numerical Solution of Stochastic Differential Equations: Diffusion and Jump-Diffusion Processes.- 15 The Friedrich-Peinke Approach to Reconstruction of Dynamical Equation for Time Series: Complexity in View of Stochastic Processes.- 16 How To Set Up Stochastic Equations For Real-World Processes: Markov-Einstein Time Scale.- 17 Reconstruction of Stochastic Dynamical Equations: Exemplary Stationary Diffusion and Jump-Diffusion Processes.- 18 The Kramers-Moyal Coefficients of Non-Stationary Time series in The Presence of Microstructure (Measurement) Noise.- 19 Influence of Finite Time Step in Estimating of the Kramers-Moyal Coefficients.- 20 Distinguishing Diffusive and Jumpy Behaviors in Real-World Time Series.- 21 Reconstruction of Langevin and Jump-Diffusion Dynamics From Empirical Uni- and Bivariate Time Series.- 22 Applications and Outlook.- 23 Epileptic Brain Dynamics.





Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis

Автор: Blackmore Denis Et Al
Название: Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis
ISBN: 9814327158 ISBN-13(EAN): 9789814327152
Издательство: World Scientific Publishing
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Цена: 28512.00 р.
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Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.

Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications

Автор: Ulrich Krause
Название: Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications
ISBN: 3110369753 ISBN-13(EAN): 9783110369755
Издательство: Walter de Gruyter
Цена: 24165.00 р.
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Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

Dynamical Systems and Random Processes

Автор: Jane Hawkins, Rachel L. Rossetti, Jim Wiseman
Название: Dynamical Systems and Random Processes
ISBN: 1470448319 ISBN-13(EAN): 9781470448318
Издательство: Mare Nostrum (Eurospan)
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Цена: 16302.00 р.
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Описание: This volume contains the proceedings of the 16th Carolina Dynamics Symposium, held from April 13-15, 2018, at Agnes Scott College, Decatur, Georgia.The papers cover various topics in dynamics and randomness, including complex dynamics, ergodic theory, topological dynamics, celestial mechanics, symbolic dynamics, computational topology, random processes, and regular languages.The intent is to provide a glimpse of the richness of the field and of the common threads that tie the different specialties together.

Averaging Methods in Nonlinear Dynamical Systems

Автор: Sanders J. A., Verhulst F., Murdock J.
Название: Averaging Methods in Nonlinear Dynamical Systems
ISBN: 0387489169 ISBN-13(EAN): 9780387489162
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.Review of First Edition"One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews

Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems

Автор: M. Reza Rahimi Tabar
Название: Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems
ISBN: 3030184714 ISBN-13(EAN): 9783030184711
Издательство: Springer
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Цена: 16070.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation?Here, the term 'non-parametrically' exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data.The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results.The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations.The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements.

Modern Dynamic Reliability Analysis for Multi-State Systems: Stochastic Processes and the Lz-Transform

Автор: Lisnianski Anatoly, Frenkel Ilia, Khvatskin Lev
Название: Modern Dynamic Reliability Analysis for Multi-State Systems: Stochastic Processes and the Lz-Transform
ISBN: 3030524876 ISBN-13(EAN): 9783030524876
Издательство: Springer
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Цена: 25155.00 р.
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Описание: General Concepts and Theoretical Background.- Industrial Multi-state Systems (MSS) and Dynamic Reliability Analysis.- Modern Stochastic Processes Methods for Dynamic MSS Reliability Assessment.- LZ-transform and Extended Universal Generating Function (UGF) Technique.-Applications and Real-world Case Studies.- Short-term Availability and Reliability Analysis for Power Systems.- The Lz-Transform and the Markov Reward Approaches for the Reliability Assessment of Ship's Traction Drives.- Availability Determination for MSS Cold Water Supply System.- Availability Analysis for Aging Air Conditioning Systems.- Sensitivity and Importance Analysis of Aging MSS Water Cooling System for Magnetic Resonance Inspection Plant.

Ergodic Theory: Advances in Dynamical Systems

Автор: Idris Assani
Название: Ergodic Theory: Advances in Dynamical Systems
ISBN: 3110460866 ISBN-13(EAN): 9783110460865
Издательство: Walter de Gruyter
Цена: 20446.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike. Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

Averaging Methods in Nonlinear Dynamical Systems

Автор: Jan A. Sanders; Ferdinand Verhulst; James Murdock
Название: Averaging Methods in Nonlinear Dynamical Systems
ISBN: 1441923764 ISBN-13(EAN): 9781441923769
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first edition of the averaging book. Updated chapters represent new insights in averaging and offer an effective entrance into this topic.

The Analysis of Stochastic Processes using GLIM

Автор: James K. Lindsey
Название: The Analysis of Stochastic Processes using GLIM
ISBN: 0387977619 ISBN-13(EAN): 9780387977614
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The aim of this book is to present a survey of the many ways in which the statistical package GLIM may be used to model and analyze stochastic processes.

Analysis and Control of Complex Dynamical Systems

Автор: Kazuyuki Aihara; Jun-ichi Imura; Tetsushi Ueta
Название: Analysis and Control of Complex Dynamical Systems
ISBN: 4431550127 ISBN-13(EAN): 9784431550129
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory.


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