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Predictability of Complex Dynamical Systems

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 540/5 ( reviews)

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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. This book was released on 2012-12-06. 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".

Dynamics Of Complex Systems

2019-03-04 Mathematics
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Release : 2019-03-04
Genre : Mathematics
Kind : eBook
Book Rating : 598/5 ( reviews)

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Book Synopsis Dynamics Of Complex Systems by : Yaneer Bar-yam

Download or read book Dynamics Of Complex Systems written by Yaneer Bar-yam. This book was released on 2019-03-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Dynamics and Statistics

2001-01-25 Business & Economics
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Release : 2001-01-25
Genre : Business & Economics
Kind : eBook
Book Rating : 634/5 ( reviews)

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Book Synopsis Nonlinear Dynamics and Statistics by : Alistair I. Mees

Download or read book Nonlinear Dynamics and Statistics written by Alistair I. Mees. This book was released on 2001-01-25. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in late 1998. The book's chapters present theory and methods topics by leading researchers in applied and theoretical nonlinear dynamics, statistics, probability, and systems theory. Features and topics: * disentangling uncertainty and error: the predictability of nonlinear systems * achieving good nonlinear models * delay reconstructions: dynamics vs. statistics * introduction to Monte Carlo Methods for Bayesian Data Analysis * latest results in extracting dynamical behavior via Markov Models * data compression, dynamics and stationarity Professionals, researchers, and advanced graduates in nonlinear dynamics, probability, optimization, and systems theory will find the book a useful resource and guide to current developments in the subject.

Foundations of Complex Systems

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 617/5 ( reviews)

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Book Synopsis Foundations of Complex Systems by : G. Nicolis

Download or read book Foundations of Complex Systems written by G. Nicolis. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.

Predictability of Chaotic Dynamics

2017-03-27 Science
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Release : 2017-03-27
Genre : Science
Kind : eBook
Book Rating : 933/5 ( reviews)

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Book Synopsis Predictability of Chaotic Dynamics by : Juan C. Vallejo

Download or read book Predictability of Chaotic Dynamics written by Juan C. Vallejo. This book was released on 2017-03-27. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily concerned with the computational aspects of predictability of dynamical systems – in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Hénon-Heiles and Rössler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.

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