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Predictability of Chaotic Dynamics, Juan C. Vallejo; Miguel A. F. Sanjuan


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Автор: Juan C. Vallejo; Miguel A. F. Sanjuan
Название:  Predictability of Chaotic Dynamics
ISBN: 9783030286293
Издательство: Springer
Классификация:



ISBN-10: 3030286290
Обложка/Формат: Hardcover
Страницы: 196
Вес: 0.49 кг.
Дата издания: 2019
Серия: Springer Series in Synergetics
Язык: English
Издание: 2nd ed. 2019
Иллюстрации: 48 illustrations, color; 28 illustrations, black and white; xix, 196 p. 76 illus., 48 illus. in color.
Размер: 234 x 156 x 14
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: A Finite-time Lyapunov Exponents Approach
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: Preface.- Forecasting and chaos.- Lyapunov exponents.- Dynamical regimes and timescales.- Predictability.- Chaos, predictability and astronomy.- A detailed example: galactic dynamics.- Appendix.



Predictability of Weather and Climate

Автор: Palmer
Название: Predictability of Weather and Climate
ISBN: 1107414857 ISBN-13(EAN): 9781107414853
Издательство: Cambridge Academ
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Цена: 13464.00 р.
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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.

Predictability, Stability, and Chaos in N-Body Dynamical Systems

Автор: Archie E. Roy
Название: Predictability, Stability, and Chaos in N-Body Dynamical Systems
ISBN: 1468459996 ISBN-13(EAN): 9781468459999
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of a NATO ASI held in Cortina d`Ampezzo, Italy, August 6--17, 1990

Chaos detection and predictability

Название: Chaos detection and predictability
ISBN: 3662484080 ISBN-13(EAN): 9783662484081
Издательство: Springer
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Цена: 10448.00 р.
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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.

Predictability and Nonlinear Modelling in Natural Sciences and Economics

Автор: J. Grasman; G. van Straten
Название: Predictability and Nonlinear Modelling in Natural Sciences and Economics
ISBN: 9401044163 ISBN-13(EAN): 9789401044165
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Researchers in the natural sciences are faced with problems that require a novel approach to improve the quality of forecasts of processes that are sensitive to environmental conditions.

Self-organized Criticality and Predictability in Atmospheric Flows

Автор: Amujuri Mary Selvam
Название: Self-organized Criticality and Predictability in Atmospheric Flows
ISBN: 3319545450 ISBN-13(EAN): 9783319545455
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

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.

Nonlinear Dynamics: Non-Integrable Systems and Chaotic Dynamics

Автор: Alexander B. Borisov, Vladimir V. Zverev
Название: Nonlinear Dynamics: Non-Integrable Systems and Chaotic Dynamics
ISBN: 3110439387 ISBN-13(EAN): 9783110439380
Издательство: Walter de Gruyter
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Цена: 18586.00 р.
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Описание: The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the material exposition is to add some comments, historical information, brief biographies and portraits of the researchers who made the most significant contribution to science. This allows one to present the material as accessible and attractive to students to acquire indepth scientific knowledge of nonlinear mechanics, feel the atmosphere where those or other important discoveries were made. The book can be used as a textbook for advanced undergraduate and graduate students majoring in high-tech industries and high technology (the science based on high technology) to help them to develop lateral thinking in early stages of training. Contents: Nonlinear OscillationsIntegrable SystemsStability of Motion and Structural StabilityChaos in Conservative SystemsChaos and Fractal Attractors in Dissipative SystemsConclusionReferencesIndex

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

Автор: Mark Edelman; Elbert E. N. Macau; Miguel A. F. San
Название: Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives
ISBN: 3319885502 ISBN-13(EAN): 9783319885506
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics.The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering.As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.


Chaotic Dynamics in Nonlinear Theory

Автор: Lakshmi Burra
Название: Chaotic Dynamics in Nonlinear Theory
ISBN: 8132235436 ISBN-13(EAN): 9788132235439
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics.

Nonlinear Dynamics and Chaotic Phenomena: An Introduction

Автор: Bhimsen K. Shivamoggi
Название: Nonlinear Dynamics and Chaotic Phenomena: An Introduction
ISBN: 9400770936 ISBN-13(EAN): 9789400770935
Издательство: Springer
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Цена: 22203.00 р.
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Описание: This book clearly details the basic concepts, language and results of nonlinear dynamical systems. It serves as an ideal reference to first-year graduate students and theoretically inclined researchers in the physical sciences and engineering.

Chaotic Dynamics in Nonlinear Theory

Автор: Lakshmi Burra
Название: Chaotic Dynamics in Nonlinear Theory
ISBN: 8132220919 ISBN-13(EAN): 9788132220916
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics.


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