Analysis And Data Based Reconstruction Of Complex Nonlinear Dynamical Systems

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Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems

Author : M. Reza Rahimi Tabar
Publisher : Springer
ISBN 13 : 3030184722
Total Pages : 280 pages
Book Rating : 4.0/5 (31 download)

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

Download or read book Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems written by M. Reza Rahimi Tabar and published by Springer. This book was released on 2019-07-04 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Predictability of Complex Dynamical Systems

Author : Yurii A. Kravtsov
Publisher : Springer Science & Business Media
ISBN 13 : 3642802540
Total Pages : 233 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Predictability of Complex Dynamical Systems by : Yurii A. Kravtsov

Download or read book Predictability of Complex Dynamical Systems written by Yurii A. Kravtsov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".

Dynamic Mode Decomposition

Author : J. Nathan Kutz
Publisher : SIAM
ISBN 13 : 161197450X
Total Pages : 234 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Dynamic Mode Decomposition by : J. Nathan Kutz

Download or read book Dynamic Mode Decomposition written by J. Nathan Kutz and published by SIAM. This book was released on 2016-11-23 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Nonlinear Dynamics

Author : Visarath In
Publisher : Springer Science & Business Media
ISBN 13 : 3540856323
Total Pages : 464 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Applications of Nonlinear Dynamics by : Visarath In

Download or read book Applications of Nonlinear Dynamics written by Visarath In and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Complexity of Dynamical Systems

Author : Johan Dubbeldam
Publisher : John Wiley & Sons
ISBN 13 : 3527409319
Total Pages : 261 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis The Complexity of Dynamical Systems by : Johan Dubbeldam

Download or read book The Complexity of Dynamical Systems written by Johan Dubbeldam and published by John Wiley & Sons. This book was released on 2011-02-21 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems

Download The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems PDF Online Free

Author : Plamen Ch. Ivanov
Publisher : Frontiers Media SA
ISBN 13 : 2889714357
Total Pages : 842 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis 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

Download or read book The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems written by Plamen Ch. Ivanov and published by Frontiers Media SA. This book was released on 2022-02-17 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Analysis of Nonlinear Dynamics

Author : Jian-Qiao Sun
Publisher : Springer Science & Business Media
ISBN 13 : 146143128X
Total Pages : 297 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Global Analysis of Nonlinear Dynamics by : Jian-Qiao Sun

Download or read book Global Analysis of Nonlinear Dynamics written by Jian-Qiao Sun and published by Springer Science & Business Media. This book was released on 2012-05-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Regularity and Stochasticity of Nonlinear Dynamical Systems

Author : Dimitri Volchenkov
Publisher : Springer
ISBN 13 : 3319580620
Total Pages : 311 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Regularity and Stochasticity of Nonlinear Dynamical Systems by : Dimitri Volchenkov

Download or read book Regularity and Stochasticity of Nonlinear Dynamical Systems written by Dimitri Volchenkov and published by Springer. This book was released on 2017-06-24 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

Author : Elbert E. N. Macau
Publisher : Springer
ISBN 13 : 3319785125
Total Pages : 228 pages
Book Rating : 4.3/5 (197 download)

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

Download or read book A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems written by Elbert E. N. Macau and published by Springer. This book was released on 2018-06-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Complex Systems

Author : Gregoire Nicolis
Publisher : World Scientific
ISBN 13 : 981277565X
Total Pages : 343 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Foundations of Complex Systems by : Gregoire Nicolis

Download or read book Foundations of Complex Systems written by Gregoire Nicolis and published by World Scientific. This book was released on 2007 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Data-Driven Science and Engineering

Author : Steven L. Brunton
Publisher : Cambridge University Press
ISBN 13 : 1009115634
Total Pages : 616 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton

Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data-driven discovery is revolutionizing how we model, predict, and control complex systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and engineers for the next generation of scientific discovery by offering a broad overview of the growing intersection of data-driven methods, machine learning, applied optimization, and classical fields of engineering mathematics and mathematical physics. With a focus on integrating dynamical systems modeling and control with modern methods in applied machine learning, this text includes methods that were chosen for their relevance, simplicity, and generality. Topics range from introductory to research-level material, making it accessible to advanced undergraduate and beginning graduate students from the engineering and physical sciences. The second edition features new chapters on reinforcement learning and physics-informed machine learning, significant new sections throughout, and chapter exercises. Online supplementary material – including lecture videos per section, homeworks, data, and code in MATLAB®, Python, Julia, and R – available on databookuw.com.

Recent Advances in Nonlinear Dynamics and Synchronization

Author : Kyandoghere Kyamakya
Publisher : Springer
ISBN 13 : 3319589962
Total Pages : 367 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Advances in Nonlinear Dynamics and Synchronization by : Kyandoghere Kyamakya

Download or read book Recent Advances in Nonlinear Dynamics and Synchronization written by Kyandoghere Kyamakya and published by Springer. This book was released on 2017-07-25 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modelling and Forecasting Financial Data

Author : Abdol S. Soofi
Publisher : Springer Science & Business Media
ISBN 13 : 1461509319
Total Pages : 496 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Modelling and Forecasting Financial Data by : Abdol S. Soofi

Download or read book Modelling and Forecasting Financial Data written by Abdol S. Soofi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and Forecasting Financial Data brings together a coherent and accessible set of chapters on recent research results on this topic. To make such methods readily useful in practice, the contributors to this volume have agreed to make available to readers upon request all computer programs used to implement the methods discussed in their respective chapters. Modelling and Forecasting Financial Data is a valuable resource for researchers and graduate students studying complex systems in finance, biology, and physics, as well as those applying such methods to nonlinear time series analysis and signal processing.

Analytical Routes to Chaos in Nonlinear Engineering

Author : Albert C. J. Luo
Publisher : John Wiley & Sons
ISBN 13 : 1118883926
Total Pages : 280 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Analytical Routes to Chaos in Nonlinear Engineering by : Albert C. J. Luo

Download or read book Analytical Routes to Chaos in Nonlinear Engineering written by Albert C. J. Luo and published by John Wiley & Sons. This book was released on 2014-05-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear problems are of interest to engineers, physicists and mathematicians and many other scientists because most systems are inherently nonlinear in nature. As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations. This works well up to some accuracy and some range for the input values, but some interesting phenomena such as chaos and singularities are hidden by linearization and perturbation analysis. It follows that some aspects of the behavior of a nonlinear system appear commonly to be chaotic, unpredictable or counterintuitive. Although such a chaotic behavior may resemble a random behavior, it is absolutely deterministic. Analytical Routes to Chaos in Nonlinear Engineering discusses analytical solutions of periodic motions to chaos or quasi-periodic motions in nonlinear dynamical systems in engineering and considers engineering applications, design, and control. It systematically discusses complex nonlinear phenomena in engineering nonlinear systems, including the periodically forced Duffing oscillator, nonlinear self-excited systems, nonlinear parametric systems and nonlinear rotor systems. Nonlinear models used in engineering are also presented and a brief history of the topic is provided. Key features: Considers engineering applications, design and control Presents analytical techniques to show how to find the periodic motions to chaos in nonlinear dynamical systems Systematically discusses complex nonlinear phenomena in engineering nonlinear systems Presents extensively used nonlinear models in engineering Analytical Routes to Chaos in Nonlinear Engineering is a practical reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas.

TMS 2023 152nd Annual Meeting & Exhibition Supplemental Proceedings

Author : The Minerals, Metals & Materials Society
Publisher : Springer Nature
ISBN 13 : 3031225244
Total Pages : 1349 pages
Book Rating : 4.0/5 (312 download)

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

Download or read book TMS 2023 152nd Annual Meeting & Exhibition Supplemental Proceedings written by The Minerals, Metals & Materials Society and published by Springer Nature. This book was released on 2023-02-06 with total page 1349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection presents papers from the 152nd Annual Meeting & Exhibition of The Minerals, Metals & Materials Society.

Nonlinear Dynamics and Chaos with Applications to Hydrodynamics and Hydrological Modelling

Author : Slavco Velickov
Publisher : CRC Press
ISBN 13 : 1482284006
Total Pages : 336 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Nonlinear Dynamics and Chaos with Applications to Hydrodynamics and Hydrological Modelling by : Slavco Velickov

Download or read book Nonlinear Dynamics and Chaos with Applications to Hydrodynamics and Hydrological Modelling written by Slavco Velickov and published by CRC Press. This book was released on 2014-04-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Nonlinear Time Series Analysis

Author : Holger Kantz
Publisher : Cambridge University Press
ISBN 13 : 1139440438
Total Pages : 390 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Nonlinear Time Series Analysis by : Holger Kantz

Download or read book Nonlinear Time Series Analysis written by Holger Kantz and published by Cambridge University Press. This book was released on 2003-11-27 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising mathematical structures. In the applied sciences, deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which do not seem to be inherently stochastic. The most direct link between chaos theory and the real world is the analysis of time series from real systems in terms of nonlinear dynamics. Experimental technique and data analysis have seen such dramatic progress that, by now, most fundamental properties of nonlinear dynamical systems have been observed in the laboratory. Great efforts are being made to exploit ideas from chaos theory wherever the data displays more structure than can be captured by traditional methods. Problems of this kind are typical in biology and physiology but also in geophysics, economics, and many other sciences.