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Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems

Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems PDF Author: M. Reza Rahimi Tabar
Publisher: Springer
ISBN: 3030184722
Category : Science
Languages : en
Pages : 280

Book Description
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.

Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems

Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems PDF Author: M. Reza Rahimi Tabar
Publisher: Springer
ISBN: 3030184722
Category : Science
Languages : en
Pages : 280

Book Description
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.

Uncertainty in Engineering

Uncertainty in Engineering PDF Author: Louis J. M. Aslett
Publisher: Springer Nature
ISBN: 3030836401
Category :
Languages : en
Pages : 148

Book Description
This open access book provides an introduction to uncertainty quantification in engineering. Starting with preliminaries on Bayesian statistics and Monte Carlo methods, followed by material on imprecise probabilities, it then focuses on reliability theory and simulation methods for complex systems. The final two chapters discuss various aspects of aerospace engineering, considering stochastic model updating from an imprecise Bayesian perspective, and uncertainty quantification for aerospace flight modelling. Written by experts in the subject, and based on lectures given at the Second Training School of the European Research and Training Network UTOPIAE (Uncertainty Treatment and Optimization in Aerospace Engineering), which took place at Durham University (United Kingdom) from 2 to 6 July 2018, the book offers an essential resource for students as well as scientists and practitioners.

Activity Systems Analysis Methods

Activity Systems Analysis Methods PDF Author: Lisa C. Yamagata-Lynch
Publisher: Springer Science & Business Media
ISBN: 1441963219
Category : Education
Languages : en
Pages : 162

Book Description
In the last two decades, there has been growing interest in pursuing theoretical paradigms that capture complex learning situations. Cultural Historical Activity Theory (CHAT) is one of several theoretical frameworks that became very popular among educational researchers because it conceptualizes individuals and their environment as a holistic unit of analysis. It assumes a non-dualistic ontology and acknowledges the complexities involved in human activity in natural settings. Recently, reputable journals such as the American Psychologist, Educational Psychologist, and Educational Researcher that are targeted for a wide-range of audience have included articles on CHAT. In many of such articles, CHAT has been referred to as social constructivism, sociocultural theory, or activity theory. Activity systems analysis is one of the popular methods among CHAT researchers for mapping complex human interactions from qualitative data. However, understanding the methods involved in activity systems analysis is a challenging task for many researchers. This difficulty derives from several reasons. First the original texts of CHAT are in Russian and there have been numerous authors who report on the difficulties of reconciling translation problems of the works of original authors’ such as Vygotsky and Leontiev. Second, in North America activity systems analysis has deviated from the Russian scholars’ intentions and Engeström’s original work using the triangle model to identify tensions to overcome and bring about sociopolitical change in participant practices. Third, to this date there are numerous publications on the theoretical background of activity theory and studies reporting the results of using activity systems analysis for unpacking qualitative data sets, but there have been no methodological publications on how researchers engage in activity systems analysis. Thus, there is a dearth of literature in both book and journal publications that guide researchers on the methodological issues involving activity systems analysis.

Adjoint Equations and Analysis of Complex Systems

Adjoint Equations and Analysis of Complex Systems PDF Author: Guri I. Marchuk
Publisher: Springer Science & Business Media
ISBN: 9401706212
Category : Computers
Languages : en
Pages : 475

Book Description
New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.

Simulation Methods for Reliability and Availability of Complex Systems

Simulation Methods for Reliability and Availability of Complex Systems PDF Author: Javier Faulin
Publisher: Springer Science & Business Media
ISBN: 1848822138
Category : Computers
Languages : en
Pages : 324

Book Description
Simulation Methods for Reliability and Availability of Complex Systems discusses the use of computer simulation-based techniques and algorithms to determine reliability and availability (R and A) levels in complex systems. The book: shares theoretical or applied models and decision support systems that make use of simulation to estimate and to improve system R and A levels, forecasts emerging technologies and trends in the use of computer simulation for R and A and proposes hybrid approaches to the development of efficient methodologies designed to solve R and A-related problems in real-life systems. Dealing with practical issues, Simulation Methods for Reliability and Availability of Complex Systems is designed to support managers and system engineers in the improvement of R and A, as well as providing a thorough exploration of the techniques and algorithms available for researchers, and for advanced undergraduate and postgraduate students.

Dynamics Of Complex Systems

Dynamics Of Complex Systems PDF Author: Yaneer Bar-yam
Publisher: CRC Press
ISBN: 0429717598
Category : Mathematics
Languages : en
Pages : 866

Book Description
This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.

METHODS OF ANALYSIS OF COMPLEX SYSTEMS.

METHODS OF ANALYSIS OF COMPLEX SYSTEMS. PDF Author: LADISLAV. DOLANSKY
Publisher:
ISBN:
Category :
Languages : en
Pages : 1

Book Description
The ever-increasing complexity of our modern life brings about the development of increasingly complex systems (e.g., traffic or mail sorting in a large city). These systems may or may not include living organisms (e.g., people). Because of the existence of such systems and the needs to design additional ones, an urgent need for adequate methods of analysis exists. Most known methods of analysis, used in the physical sciences, prove inadequate in the analysis of complex systems because of their emphasis on the study of the characteristics of individual elements rather than on the mutual relationships and influences between such elements. The methods available for the analysis of complex systems are outlined. Some xamples of applications, using several of the disciplines described, are given. (Author).

Complexity and Postmodernism

Complexity and Postmodernism PDF Author: Paul Cilliers
Publisher: Routledge
ISBN: 1134743297
Category : Philosophy
Languages : en
Pages : 170

Book Description
In Complexity and Postmodernism, Paul Cilliers explores the idea of complexity in the light of contemporary perspectives from philosophy and science. Cilliers offers us a unique approach to understanding complexity and computational theory by integrating postmodern theory (like that of Derrida and Lyotard) into his discussion. Complexity and Postmodernism is an exciting and an original book that should be read by anyone interested in gaining a fresh understanding of complexity, postmodernism and connectionism.

Modeling of Complex Systems

Modeling of Complex Systems PDF Author: V. Vemuri
Publisher: Academic Press
ISBN: 1483267520
Category : Technology & Engineering
Languages : en
Pages : 465

Book Description
Modeling of Complex Systems: An Introduction describes the framework of complex systems. This book discusses the language of system theory, taxonomy of system concepts, steps in model building, and establishing relations using physical laws. The statistical attributes of data, generation of random numbers fundamental problems of recognition, and input-output type models are also elaborated. This text likewise covers the optimization with equality constraints, transfer function models, and competition among species. This publication is written primarily for senior undergraduate students and beginning graduate students who are interested in an interdisciplinary or multidisciplinary approach to large-scale or complex problems of contemporary societal interest.

Complex Systems Science in Biomedicine

Complex Systems Science in Biomedicine PDF Author: Thomas Deisboeck
Publisher: Springer Science & Business Media
ISBN: 0387335323
Category : Medical
Languages : en
Pages : 857

Book Description
Complex Systems Science in Biomedicine Thomas S. Deisboeck and J. Yasha Kresh Complex Systems Science in Biomedicine covers the emerging field of systems science involving the application of physics, mathematics, engineering and computational methods and techniques to the study of biomedicine including nonlinear dynamics at the molecular, cellular, multi-cellular tissue, and organismic level. With all chapters helmed by leading scientists in the field, Complex Systems Science in Biomedicine's goal is to offer its audience a timely compendium of the ongoing research directed to the understanding of biological processes as whole systems instead of as isolated component parts. In Parts I & II, Complex Systems Science in Biomedicine provides a general systems thinking perspective and presents some of the fundamental theoretical underpinnings of this rapidly emerging field. Part III then follows with a multi-scaled approach, spanning from the molecular to macroscopic level, exemplified by studying such diverse areas as molecular networks and developmental processes, the immune and nervous systems, the heart, cancer and multi-organ failure. The volume concludes with Part IV that addresses methods and techniques driven in design and development by this new understanding of biomedical science. Key Topics Include: • Historic Perspectives of General Systems Thinking • Fundamental Methods and Techniques for Studying Complex Dynamical Systems • Applications from Molecular Networks to Disease Processes • Enabling Technologies for Exploration of Systems in the Life Sciences Complex Systems Science in Biomedicine is essential reading for experimental, theoretical, and interdisciplinary scientists working in the biomedical research field interested in a comprehensive overview of this rapidly emerging field. About the Editors: Thomas S. Deisboeck is currently Assistant Professor of Radiology at Massachusetts General Hospital and Harvard Medical School in Boston. An expert in interdisciplinary cancer modeling, Dr. Deisboeck is Director of the Complex Biosystems Modeling Laboratory which is part of the Harvard-MIT Martinos Center for Biomedical Imaging. J. Yasha Kresh is currently Professor of Cardiothoracic Surgery and Research Director, Professor of Medicine and Director of Cardiovascular Biophysics at the Drexel University College of Medicine. An expert in dynamical systems, he holds appointments in the School of Biomedical Engineering and Health Systems, Dept. of Mechanical Engineering and Molecular Pathobiology Program. Prof. Kresh is Fellow of the American College of Cardiology, American Heart Association, Biomedical Engineering Society, American Institute for Medical and Biological Engineering.