Predictability of Chaotic Dynamics: A Finite-Time Lyapunov Exponents Approach, Vallejo Juan C., Sanjuan Miguel A. F.
Автор: Viana Название: Lectures on Lyapunov Exponents ISBN: 1107081734 ISBN-13(EAN): 9781107081734 Издательство: Cambridge Academ Рейтинг: Цена: 7126.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.
Название: Chaos detection and predictability ISBN: 3662484080 ISBN-13(EAN): 9783662484081 Издательство: Springer Рейтинг: Цена: 10448.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Estimating Lyapunov exponents from time series.- Theory and applications of the fast Lyapunov Indicator (FLI) method.- Theory and applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods.- Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method.- The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection.- The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy.- The 0-1 Test for Chaos: A review.
Preface.- Chapter 1 Noise or Random Fluctuations in Physical Systems: A Review.- Chapter 2 Self-Organised Criticality: A Signature of Quantum-like Chaos in Atmospheric Flows.- Chapter 3 Universal inverse power-law distribution for temperature and rainfall in the UK region.- Chapter 4 Signatures of universal characteristics of fractal fluctuations in global mean monthly temperature anomalies.
Описание: Proceedings of a NATO ASI held in Cortina d`Ampezzo, Italy, August 6--17, 1990
Автор: Ludwig Arnold; Hans Crauel; Jean-Pierre Eckmann Название: Lyapunov Exponents ISBN: 3540546626 ISBN-13(EAN): 9783540546627 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Examines all significant recent progress made in the theory and applications of a key component of dynamical systems, known as the Lyapunov exponents. Emphasis is placed on shifts towards nonlinear and infinite-dimensional systems and observable engineering applications.
Автор: Barreira Название: Lyapunov Exponents ISBN: 3319712608 ISBN-13(EAN): 9783319712604 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs.
Автор: Barreira Luнs Название: Lyapunov Exponents ISBN: 3319890557 ISBN-13(EAN): 9783319890555 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs.
Автор: Juan C. Vallejo; Miguel A. F. Sanjuan Название: Predictability of Chaotic Dynamics ISBN: 3030286290 ISBN-13(EAN): 9783030286293 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. 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 strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, H?non-Heiles and R?ssler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential.
Автор: Juan C. Vallejo; Miguel A. F. Sanjuan Название: Predictability of Chaotic Dynamics ISBN: 3030286320 ISBN-13(EAN): 9783030286323 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Поставка под заказ.
Автор: Palmer Название: Predictability of Weather and Climate ISBN: 1107414857 ISBN-13(EAN): 9781107414853 Издательство: Cambridge Academ Рейтинг: Цена: 13464.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With contributions by leading experts, including an unpublished paper by Ed Lorenz, this book, first published in 2006, covers many topics in weather and climate predictability. It will interest those in the fields of environmental science and weather and climate forecasting, from graduate students to researchers, by examining theoretical and practical aspects of predictability.
Автор: Franco Garofalo; Luigi Glielmo Название: Robust Control via Variable Structure and Lyapunov Techniques ISBN: 3540760679 ISBN-13(EAN): 9783540760672 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text covers a large spectrum of recent research and innovative ideas in the field of robust control research employing the variable structure control method and Lyapunov`s second method. The book surveys control Lyapunov functions and introduces the geometric theory of "flat" systems.
Preface.- Chapter 1 Noise or Random Fluctuations in Physical Systems: A Review.- Chapter 2 Self-Organised Criticality: A Signature of Quantum-like Chaos in Atmospheric Flows.- Chapter 3 Universal inverse power-law distribution for temperature and rainfall in the UK region.- Chapter 4 Signatures of universal characteristics of fractal fluctuations in global mean monthly temperature anomalies.
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