Описание: 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.
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.
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.
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: 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.
Автор: Steeb Willi Hans Название: Problems And Solutions: Nonlinear Dynamics, Chaos And Fractals ISBN: 9813109920 ISBN-13(EAN): 9789813109926 Издательство: World Scientific Publishing Рейтинг: Цена: 8870.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents a collection of problems for nonlinear dynamics, chaos theory and fractals. Besides the solved problems, supplementary problems are also added. Each chapter contains an introduction with suitable definitions and explanations to tackle the problems.
The material is self-contained, and the topics range in difficulty from elementary to advanced. While students can learn important principles and strategies required for problem solving, lecturers will also find this text useful, either as a supplement or text, since concepts and techniques are developed in the problems.
Автор: Vadim S. Anishchenko; Vladimir Astakhov; Alexander Название: Nonlinear Dynamics of Chaotic and Stochastic Systems ISBN: 3642424678 ISBN-13(EAN): 9783642424670 Издательство: Springer Рейтинг: Цена: 13059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory.
Автор: Rozikov Utkir A Название: Population Dynamics: Algebraic And Probabilistic Approach ISBN: 9811211221 ISBN-13(EAN): 9789811211225 Издательство: World Scientific Publishing Рейтинг: Цена: 21384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras.
A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010.
The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems.
The main aim of this book is to facilitate the reader's in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.
Автор: T. Bountis Название: Chaotic Dynamics ISBN: 1461365341 ISBN-13(EAN): 9781461365341 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of a NATO ARW held in Patras, Greece, July 11-20, 1991
Автор: Steeb Willi Hans Название: Problems And Solutions: Nonlinear Dynamics, Chaos And Fractals ISBN: 9813140879 ISBN-13(EAN): 9789813140875 Издательство: World Scientific Publishing Рейтинг: Цена: 4594.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents a collection of problems for nonlinear dynamics, chaos theory and fractals. Besides the solved problems, supplementary problems are also added. Each chapter contains an introduction with suitable definitions and explanations to tackle the problems.
The material is self-contained, and the topics range in difficulty from elementary to advanced. While students can learn important principles and strategies required for problem solving, lecturers will also find this text useful, either as a supplement or text, since concepts and techniques are developed in the problems.
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