Analysis of Observed Chaotic Data

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207630
Total Pages : 278 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Analysis of Observed Chaotic Data by : Henry Abarbanel

Download or read book Analysis of Observed Chaotic Data written by Henry Abarbanel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and systematic treatment of time series of data, regular and chaotic, found in nonlinear systems. The text leads readers from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. It examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. The emphasis throughout is on the use of modern mathematical tools for investigating chaotic behaviour to uncover properties of physical systems, requiring knowledge of dynamical systems at the advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods.

Nonlinear Time Series Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521529020
Total Pages : 390 pages
Book Rating : 4.5/5 (29 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 2004 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.

Chaos: A Statistical Perspective

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Publisher : Springer Science & Business Media
ISBN 13 : 1475734646
Total Pages : 312 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos: A Statistical Perspective by : Kung-Sik Chan

Download or read book Chaos: A Statistical Perspective written by Kung-Sik Chan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.

Chaos and Nonlinear Psychology

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Publisher : Oxford University Press
ISBN 13 : 0190465026
Total Pages : 449 pages
Book Rating : 4.1/5 (94 download)

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Book Synopsis Chaos and Nonlinear Psychology by : David Schuldberg

Download or read book Chaos and Nonlinear Psychology written by David Schuldberg and published by Oxford University Press. This book was released on 2022 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pandemic, and our response to it, has shown how unpredictable, irrational, illogical, suddenly changing, and muddled human interactions can be in a time of crisis. How can we make sense of such confusing and baffling behavior? This book reveals how chaos and nonlinear dynamics can bring new understanding to everyday topics in social sciences. It brings together chapters from leaders at the intersection of psychology and chaos and complexity theories. Conceptual and user-friendly, it is built around six themes: 1) Seeing nonlinearity, 2) Finding patterns, 3) using Simple models, 4) Intervening nonlinearly, and 6) teaching a new Worldview. It takes no specialized study-although there is more sophisticated material and optional math for those wishing it. The techie will, in addition, find concepts and diagrams to ponder. The volume is engaging, at times startling-whether about the weather, Internet, organizations, family dynamics, health, evolution, or falling in love. It reveals how many social, personal, clinical, research, and life phenomena become understandable and can be modelled in the light of Nonlinear Dynamical Systems (NDS) theory. It even offers a broadening worldview, happening already in other sciences, toward a more dynamic, interconnected, and evolving picture, including process-oriented appreciation of one's own experience. The book offers those in the field of psychology and the social sciences a stunning new perspective on human behaviour.

Scientific Computing and Applications

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Publisher : Nova Publishers
ISBN 13 : 9781590330272
Total Pages : 312 pages
Book Rating : 4.3/5 (32 download)

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Book Synopsis Scientific Computing and Applications by : Peter Minev

Download or read book Scientific Computing and Applications written by Peter Minev and published by Nova Publishers. This book was released on 2001 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing & Applications

Chaos in Hydrology

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Publisher : Springer
ISBN 13 : 9048125529
Total Pages : 408 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Chaos in Hydrology by : Bellie Sivakumar

Download or read book Chaos in Hydrology written by Bellie Sivakumar and published by Springer. This book was released on 2016-11-16 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative book presents a comprehensive account of the essential roles of nonlinear dynamic and chaos theories in understanding, modeling, and forecasting hydrologic systems. This is done through a systematic presentation of: (1) information on the salient characteristics of hydrologic systems and on the existing theories for their modeling; (2) the fundamentals of nonlinear dynamic and chaos theories, methods for chaos identification and prediction, and associated issues; (3) a review of the applications of chaos theory in hydrology; and (4) the scope and potential directions for the future. This book bridges the divide between the deterministic and the stochastic schools in hydrology, and is well suited as a textbook for hydrology courses.

Nonlinear Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 1461557038
Total Pages : 265 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Nonlinear Modeling by : Johan A.K. Suykens

Download or read book Nonlinear Modeling written by Johan A.K. Suykens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Modeling: Advanced Black-Box Techniques discusses methods on Neural nets and related model structures for nonlinear system identification; Enhanced multi-stream Kalman filter training for recurrent networks; The support vector method of function estimation; Parametric density estimation for the classification of acoustic feature vectors in speech recognition; Wavelet-based modeling of nonlinear systems; Nonlinear identification based on fuzzy models; Statistical learning in control and matrix theory; Nonlinear time-series analysis. It also contains the results of the K.U. Leuven time series prediction competition, held within the framework of an international workshop at the K.U. Leuven, Belgium in July 1998.

Chaos in Dynamical Systems

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Publisher : Cambridge University Press
ISBN 13 : 9780521010849
Total Pages : 500 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis Chaos in Dynamical Systems by : Edward Ott

Download or read book Chaos in Dynamical Systems written by Edward Ott and published by Cambridge University Press. This book was released on 2002-08-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.

Extracting Knowledge From Time Series

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Publisher : Springer Science & Business Media
ISBN 13 : 3642126014
Total Pages : 416 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Extracting Knowledge From Time Series by : Boris P. Bezruchko

Download or read book Extracting Knowledge From Time Series written by Boris P. Bezruchko and published by Springer Science & Business Media. This book was released on 2010-09-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

Oscillations, Waves and Interactions

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Publisher : Universitätsverlag Göttingen
ISBN 13 : 3938616962
Total Pages : 485 pages
Book Rating : 4.9/5 (386 download)

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Book Synopsis Oscillations, Waves and Interactions by : Thomas Kurz

Download or read book Oscillations, Waves and Interactions written by Thomas Kurz and published by Universitätsverlag Göttingen. This book was released on 2007 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Applications of Chaos Theory

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Publisher : CRC Press
ISBN 13 : 1315356546
Total Pages : 921 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Handbook of Applications of Chaos Theory by : Christos H. Skiadas

Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities

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Publisher : World Scientific
ISBN 13 : 9789810229276
Total Pages : 466 pages
Book Rating : 4.2/5 (292 download)

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Book Synopsis Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities by : Marian Wiercigroch

Download or read book Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities written by Marian Wiercigroch and published by World Scientific. This book was released on 2000 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Consisting primarily of contributions written by engineers from Europe, Asia, and the US, this volume provides a general methodology for describing, solving, and analyzing discontinuous systems. The focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction, or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials, and dynamics of metal cutting. Of likely interest to new and experienced researchers working in the field of applied mathematics and physics, mechanical and civil engineering, and manufacturing. Lacks a subject index. Annotation copyrighted by Book News, Inc., Portland, OR.

Chaos in Real Data

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Publisher : Springer Science & Business Media
ISBN 13 : 9401140103
Total Pages : 239 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Chaos in Real Data by : J.N. Perry

Download or read book Chaos in Real Data written by J.N. Perry and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos in Real Data studies the range of data analytic techniques available to study nonlinear population dynamics for ecological time series. Several case studies are studied using typically short and noisy population data from field and laboratory. A range of modern approaches, such as response surface methodology and mechanistic mathematical modelling, are applied to several case studies. Experts honestly appraise how well these methods have performed on their data. The accessible style of the book ensures its readability for non-quantitative biologists. The data remain available, as benchmarks for future study, on the worldwide web.

Advanced Data Analysis in Neuroscience

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Publisher : Springer
ISBN 13 : 3319599763
Total Pages : 308 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Advanced Data Analysis in Neuroscience by : Daniel Durstewitz

Download or read book Advanced Data Analysis in Neuroscience written by Daniel Durstewitz and published by Springer. This book was released on 2017-09-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for use in advanced graduate courses in statistics / machine learning, as well as for all experimental neuroscientists seeking to understand statistical methods at a deeper level, and theoretical neuroscientists with a limited background in statistics. It reviews almost all areas of applied statistics, from basic statistical estimation and test theory, linear and nonlinear approaches for regression and classification, to model selection and methods for dimensionality reduction, density estimation and unsupervised clustering. Its focus, however, is linear and nonlinear time series analysis from a dynamical systems perspective, based on which it aims to convey an understanding also of the dynamical mechanisms that could have generated observed time series. Further, it integrates computational modeling of behavioral and neural dynamics with statistical estimation and hypothesis testing. This way computational models in neuroscience are not only explanatory frameworks, but become powerful, quantitative data-analytical tools in themselves that enable researchers to look beyond the data surface and unravel underlying mechanisms. Interactive examples of most methods are provided through a package of MatLab routines, encouraging a playful approach to the subject, and providing readers with a better feel for the practical aspects of the methods covered. "Computational neuroscience is essential for integrating and providing a basis for understanding the myriads of remarkable laboratory data on nervous system functions. Daniel Durstewitz has excellently covered the breadth of computational neuroscience from statistical interpretations of data to biophysically based modeling of the neurobiological sources of those data. His presentation is clear, pedagogically sound, and readily useable by experts and beginners alike. It is a pleasure to recommend this very well crafted discussion to experimental neuroscientists as well as mathematically well versed Physicists. The book acts as a window to the issues, to the questions, and to the tools for finding the answers to interesting inquiries about brains and how they function." Henry D. I. Abarbanel Physics and Scripps Institution of Oceanography, University of California, San Diego “This book delivers a clear and thorough introduction to sophisticated analysis approaches useful in computational neuroscience. The models described and the examples provided will help readers develop critical intuitions into what the methods reveal about data. The overall approach of the book reflects the extensive experience Prof. Durstewitz has developed as a leading practitioner of computational neuroscience. “ Bruno B. Averbeck

Chaos Theory Tamed

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Publisher : CRC Press
ISBN 13 : 1482295415
Total Pages : 518 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Chaos Theory Tamed by : Garnett Williams

Download or read book Chaos Theory Tamed written by Garnett Williams and published by CRC Press. This book was released on 1997-09-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.

Proceedings of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems

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Publisher : World Scientific
ISBN 13 : 9789810243418
Total Pages : 312 pages
Book Rating : 4.2/5 (434 download)

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Book Synopsis Proceedings of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems by : Gianluca Setti

Download or read book Proceedings of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems written by Gianluca Setti and published by World Scientific. This book was released on 2000 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.

Nonlinear Dynamics Of Electronic Systems - Proceedings Of The Ieee Workshop

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Author :
Publisher : World Scientific
ISBN 13 : 9814492868
Total Pages : 309 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Dynamics Of Electronic Systems - Proceedings Of The Ieee Workshop by : Gianluca Mazzini

Download or read book Nonlinear Dynamics Of Electronic Systems - Proceedings Of The Ieee Workshop written by Gianluca Mazzini and published by World Scientific. This book was released on 2000-05-08 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.