Analysis And Data Based Reconstruction Of Complex Nonlinear Dynamical Systems

Author : M. Reza Rahimi Tabar
Publisher : Springer
Page : 280 pages
File Size : 48,5 Mb
Release : 2019-07-04
Category : Science
ISBN : 9783030184728

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Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems by M. Reza Rahimi Tabar Pdf

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.

Author : Yurii A. Kravtsov,James B. Kadtke
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642802546

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Predictability of Complex Dynamical Systems by Yurii A. Kravtsov,James B. Kadtke Pdf

This is a book book for researchers and practitioners interested in modeling, prediction and forecasting of natural systems based on nonlinear dynamics. It is a practical guide to data analysis and to the development of algorithms, especially for complex systems. Topics such as the characterization of nonlinear correlations in data as dynamical systems, reconstruction of dynamical models from data, nonlinear noise reduction and the limits of predicatability are discussed. The chapters are written by leading experts and consider practical problems such as signal and time series analysis, biomedical data analysis, financial analysis, stochastic modeling, human evolution, and political modeling. The book includes new methods for nonlinear filtering of complex signals, new algorithms for signal classification, and the concept of the "Global Brain".

Author : J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor
Publisher : SIAM
Page : 234 pages
File Size : 53,5 Mb
Release : 2016-11-23
Category : Science
ISBN : 9781611974508

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Dynamic Mode Decomposition by J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor Pdf

Data-driven dynamical systems is a burgeoning field?it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.

Author : Johan Dubbeldam,Kirk Green,Daan Lenstra
Publisher : John Wiley & Sons
Page : 261 pages
File Size : 50,7 Mb
Release : 2011-02-21
Category : Science
ISBN : 9783527409310

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The Complexity of Dynamical Systems by Johan Dubbeldam,Kirk Green,Daan Lenstra Pdf

Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.

Author : Visarath In,Patrick Longhini,Antonio Palacios
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 49,8 Mb
Release : 2009-02-11
Category : Technology & Engineering
ISBN : 9783540856320

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Applications of Nonlinear Dynamics by Visarath In,Patrick Longhini,Antonio Palacios Pdf

The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Author : Plamen Ch. Ivanov,Andras Eke,Olga Sosnovtseva
Publisher : Frontiers Media SA
Page : 842 pages
File Size : 45,6 Mb
Release : 2022-02-17
Category : Science
ISBN : 9782889714353

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The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems by Plamen Ch. Ivanov,Andras Eke,Olga Sosnovtseva Pdf

Author : Dimitri Volchenkov,Xavier Leoncini
Publisher : Springer
Page : 311 pages
File Size : 51,6 Mb
Release : 2017-06-24
Category : Technology & Engineering
ISBN : 9783319580623

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Regularity and Stochasticity of Nonlinear Dynamical Systems by Dimitri Volchenkov,Xavier Leoncini Pdf

This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty.

Author : Elbert E. N. Macau
Publisher : Springer
Page : 228 pages
File Size : 53,8 Mb
Release : 2018-06-14
Category : Technology & Engineering
ISBN : 9783319785127

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A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems by Elbert E. N. Macau Pdf

This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls. · Introduces new concepts for understanding and modeling complex systems; · Explains risk reduction management in complex systems; · Examines the symmetry group approach to understanding complex systems; · Illustrates the relation between transient chaos and crises.

Author : Jian-Qiao Sun,Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 43,6 Mb
Release : 2012-05-01
Category : Technology & Engineering
ISBN : 9781461431282

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Global Analysis of Nonlinear Dynamics by Jian-Qiao Sun,Albert C. J. Luo Pdf

Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.

Author : Gregoire Nicolis,Cathy Nicolis
Publisher : World Scientific
Page : 343 pages
File Size : 53,6 Mb
Release : 2007
Category : Science
ISBN : 9789812775658

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Foundations of Complex Systems by Gregoire Nicolis,Cathy Nicolis Pdf

A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.

Author : Steven L. Brunton,J. Nathan Kutz
Publisher : Cambridge University Press
Page : 495 pages
File Size : 51,8 Mb
Release : 2019-02-28
Category : Computers
ISBN : 9781108422093

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Data-Driven Science and Engineering by Steven L. Brunton,J. Nathan Kutz Pdf

This beginning graduate textbook teaches data science and machine learning methods for modeling, prediction, and control of complex systems.

Author : The Minerals, Metals & Materials Society
Publisher : Springer Nature
Page : 1349 pages
File Size : 53,9 Mb
Release : 2023-02-06
Category : Technology & Engineering
ISBN : 9783031225246

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TMS 2023 152nd Annual Meeting & Exhibition Supplemental Proceedings by The Minerals, Metals & Materials Society Pdf

This collection presents papers from the 152nd Annual Meeting & Exhibition of The Minerals, Metals & Materials Society.

Author : Slavco Velickov
Publisher : CRC Press
Page : 336 pages
File Size : 40,8 Mb
Release : 2014-04-21
Category : Science
ISBN : 9781482284003

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Nonlinear Dynamics and Chaos with Applications to Hydrodynamics and Hydrological Modelling by Slavco Velickov Pdf

A hydroinformatics system represents an electronic knowledge encapsulator that models part of the real world and can be used for the simulation and analysis of physical, chemical and biological processes in water systems, in order to achieve a better management of the aquatic environment. Thus, modelling is at the heart of hydroinformatics.&n

Author : Kyandoghere Kyamakya,Wolfgang Mathis,Ruedi Stoop,Jean Chamberlain Chedjou,Zhong Li
Publisher : Springer
Page : 367 pages
File Size : 42,7 Mb
Release : 2017-07-25
Category : Technology & Engineering
ISBN : 9783319589961

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Recent Advances in Nonlinear Dynamics and Synchronization by Kyandoghere Kyamakya,Wolfgang Mathis,Ruedi Stoop,Jean Chamberlain Chedjou,Zhong Li Pdf

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 neurocomputing, 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.

Author : Alistair I. Mees
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461201779

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Nonlinear Dynamics and Statistics by Alistair I. Mees Pdf

This book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in late 1998. The book's chapters present theory and methods topics by leading researchers in applied and theoretical nonlinear dynamics, statistics, probability, and systems theory. Features and topics: * disentangling uncertainty and error: the predictability of nonlinear systems * achieving good nonlinear models * delay reconstructions: dynamics vs. statistics * introduction to Monte Carlo Methods for Bayesian Data Analysis * latest results in extracting dynamical behavior via Markov Models * data compression, dynamics and stationarity Professionals, researchers, and advanced graduates in nonlinear dynamics, probability, optimization, and systems theory will find the book a useful resource and guide to current developments in the subject.