Analysis Of Observed Chaotic Data

Download Analysis Of Observed Chaotic Data full books in PDF, epub, and Kindle. Read online Analysis Of Observed Chaotic Data ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Analysis of Observed Chaotic Data

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

DOWNLOAD NOW!

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.

Predicting Storm Surges: Chaos, Computational Intelligence, Data Assimilation and Ensembles

Author : Michael Siek
Publisher : CRC Press
ISBN 13 : 1466553480
Total Pages : 239 pages
Book Rating : 4.4/5 (665 download)

DOWNLOAD NOW!

Book Synopsis Predicting Storm Surges: Chaos, Computational Intelligence, Data Assimilation and Ensembles by : Michael Siek

Download or read book Predicting Storm Surges: Chaos, Computational Intelligence, Data Assimilation and Ensembles written by Michael Siek and published by CRC Press. This book was released on 2011-12-16 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate predictions of storm surge are of importance in many coastal areas in the world to avoid and mitigate its destructive impacts. For this purpose the physically-based (process) numerical models are typically utilized. However, in data-rich cases, one may use data-driven methods aiming at reconstructing the internal patterns of the modelled p

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)

DOWNLOAD NOW!

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.

Nonlinear Time Series Analysis

Author : Holger Kantz
Publisher : Cambridge University Press
ISBN 13 : 9780521529020
Total Pages : 390 pages
Book Rating : 4.5/5 (29 download)

DOWNLOAD NOW!

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 in Real Data

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

DOWNLOAD NOW!

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.

Nonlinear Analysis of Physiological Data

Author : Holger Kantz
Publisher : Springer Science & Business Media
ISBN 13 : 364271949X
Total Pages : 339 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Analysis of Physiological Data by : Holger Kantz

Download or read book Nonlinear Analysis of Physiological Data written by Holger Kantz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is more than a standard proceedings volume, although it is an almost direct result of the workshop on "Nonlinear Analysis of Physiologi cal Time Series" held in Freital near Dresden, Germany, in October 1995. The idea of the meeting was, as for previous meetings devoted to related topics, such as the conference on dynamical diseases held near Montreal in February 1994 (see CHAOS Vol. 5(1), 1995), to bring together experts on the techniques of nonlinear analysis and the theory of chaos and applicants from the most fascinating field where such methods could potentially be useful: the life sciences. The former group consisted mainly of physicists and mathe maticians, the latter was represented by physiologists and medical researchers and practitioners. Many aspects of this workshop were unusual and not previously expe rienced. Also, the hosting institution, the Max Planck Institute for Physics of Complex Systems (MPIPKS), at this time was brand new. The organiz ers' rather unconventional intention was to bring specialists of both groups together to really work together. Therefore, there was an excessive availabil ity of computers and the possibility to numerically study time series data sets practitioners had supplied from their own fields, e. g. electrocardiogram (ECG) data, electroencephalogram (EEG) data, data from the respiratory system, from human voice, human posture control, and several others. These data formed a much stronger link between theoreticians and applicants than any of the common ideas.

Controlling Chaos and Bifurcations in Engineering Systems

Author : Guanrong Chen
Publisher : CRC Press
ISBN 13 : 9780849305795
Total Pages : 670 pages
Book Rating : 4.3/5 (57 download)

DOWNLOAD NOW!

Book Synopsis Controlling Chaos and Bifurcations in Engineering Systems by : Guanrong Chen

Download or read book Controlling Chaos and Bifurcations in Engineering Systems written by Guanrong Chen and published by CRC Press. This book was released on 1999-09-28 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last two decades, chaos in engineering systems has moved from being simply a curious phenomenon to one with real, practical significance and utility. Engineers, scientists, and mathematicians have similarly advanced from the passive role of analyzing chaos to their present, active role of controlling chaos-control directed not only at suppression, but also at exploiting its enormous potential. We now stand at the threshold of major advances in the control and synchronization of chaos for new applications across the range of engineering disciplines. Controlling Chaos and Bifurcations in Engineering Systems provides a state-of-the-art survey of the control-and anti-control-of chaos in dynamical systems. Internationally known experts in the field join forces in this volume to form this tutorial-style combination of overview and technical report on the latest advances in the theory and applications of chaos control. They detail various approaches to control and show how designers can use chaos to create a wider variety of properties and greater flexibility in the design process. Chaos control promises to have a major impact on novel time- and energy-critical engineering applications. Within this volume, readers will find many challenging problems-yet unsolved-regarding both the fundamental theory and potential applications of chaos control and anti-control. Controlling Chaos and Bifurcations in Engineering Systems will bring readers up-to-date on recent development in the field and help open the door to new advances.

Semiconductor Lasers

Author : Junji Ohtsubo
Publisher : Springer
ISBN 13 : 3642301479
Total Pages : 579 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!

Book Synopsis Semiconductor Lasers by : Junji Ohtsubo

Download or read book Semiconductor Lasers written by Junji Ohtsubo and published by Springer. This book was released on 2012-10-05 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of “Semiconductor Lasers, Stability, Instability and Chaos” was significantly extended. In the previous edition, the dynamics and characteristics of chaos in semiconductor lasers after the introduction of the fundamental theory of laser chaos and chaotic dynamics induced by self-optical feedback and optical injection was discussed. Semiconductor lasers with new device structures, such as vertical-cavity surface-emitting lasers and broad-area semiconductor lasers, are interesting devices from the viewpoint of chaotic dynamics since they essentially involve chaotic dynamics even in their free-running oscillations. These topics are also treated with respect to the new developments in the current edition. Also the control of such instabilities and chaos control are critical issues for applications. Another interesting and important issue of semiconductor laser chaos in this third edition is chaos synchronization between two lasers and the application to optical secure communication. One of the new topics in this edition is fast physical number generation using chaotic semiconductor lasers for secure communication and development of chaos chips and their application. As other new important topics, the recent advance of new semiconductor laser structures is presented, such as quantum-dot semiconductor lasers, quantum-cascade semiconductor lasers, vertical-cavity surface-emitting lasers and physical random number generation with application to quantum key distribution. Stabilities, instabilities, and control of quantum-dot semiconductor lasers and quantum-cascade lasers are important topics in this field.

Practical Environmental Statistics and Data Analysis

Author : Yue Rong
Publisher : ILM Publications
ISBN 13 : 1906799040
Total Pages : 310 pages
Book Rating : 4.9/5 (67 download)

DOWNLOAD NOW!

Book Synopsis Practical Environmental Statistics and Data Analysis by : Yue Rong

Download or read book Practical Environmental Statistics and Data Analysis written by Yue Rong and published by ILM Publications. This book was released on 2011 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Describes the application of statistical methods in different environmental fields, with an emphasis on how to solve real-world problems in complex systems"--Provided by publisher.

Nonlinear Dynamics and Time Series

Author : Colleen D. Cutler
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871195
Total Pages : 266 pages
Book Rating : 4.8/5 (711 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Dynamics and Time Series by : Colleen D. Cutler

Download or read book Nonlinear Dynamics and Time Series written by Colleen D. Cutler and published by American Mathematical Soc.. This book was released on with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmuller spaces, including the Bers embedding and the Teichmuller curve. It isremarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmuller spaces from these lecture notes. This editionincludes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmuller spaces and provides many references to the vast literature on Teichmuller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these threenew chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings. This book is a collection of research and expository papers reflecting the interfacing of two fields: nonlinear dynamics (in the physiological and biological sciences) and statistics. It presents theproceedings of a four-day workshop entitled ''Nonlinear Dynamics and Time Series: Building a Bridge Between the Natural and Statistical Sciences'' held at the Centre de Recherches Mathematiques (CRM) in Montreal in July 1995. The goal of the workshop was to provide an exchange forum and to create a link between two diverse groups with a common interest in the analysis of nonlinear time series data. The editors and peer reviewers of this work have attempted to minimize the problems ofmaintaining communication between the different scientific fields. The result is a collection of interrelated papers that highlight current areas of research in statistics that might have particular applicability to nonlinear dynamics and new methodology and open data analysis problems in nonlinear dynamicsthat might find their way into the toolkits and research interests of statisticians. Features: A survey of state-of-the-art developments in nonlinear dynamics time series analysis with open statistical problems and areas for further research. Contributions by statisticians to understanding and improving modern techniques commonly associated with nonlinear time series analysis, such as surrogate data methods and estimation of local Lyapunov exponents. Starting point for both scientists andstatisticians who want to explore the field. Expositions that are readable to scientists outside the featured fields of specialization. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario,Canada).

Chaos Detection and Predictability

Author : Charalampos (Haris) Skokos
Publisher : Springer
ISBN 13 : 3662484102
Total Pages : 269 pages
Book Rating : 4.6/5 (624 download)

DOWNLOAD NOW!

Book Synopsis Chaos Detection and Predictability by : Charalampos (Haris) Skokos

Download or read book Chaos Detection and Predictability written by Charalampos (Haris) Skokos and published by Springer. This book was released on 2016-03-04 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ‘0-1’ test for chaos.

Chaos and Nonlinear Dynamics

Author : Robert C. Hilborn
Publisher :
ISBN 13 : 9780198507239
Total Pages : 676 pages
Book Rating : 4.5/5 (72 download)

DOWNLOAD NOW!

Book Synopsis Chaos and Nonlinear Dynamics by : Robert C. Hilborn

Download or read book Chaos and Nonlinear Dynamics written by Robert C. Hilborn and published by . This book was released on 2000 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.

Chaos: A Statistical Perspective

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

DOWNLOAD NOW!

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

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

DOWNLOAD NOW!

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

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

DOWNLOAD NOW!

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

Nonlinear Modeling

Author : Johan A.K. Suykens
Publisher : Springer Science & Business Media
ISBN 13 : 1461557038
Total Pages : 265 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

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.

Extracting Knowledge From Time Series

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

DOWNLOAD NOW!

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.