Dynamical Systems: Stability, Symbolic Dynamics, and Chaos ( Studies in Advanced Mathematics #28 ), Robinson, Clark
Автор: Strogatz Steven Название: Nonlinear Dynamics and Chaos ISBN: 0813349109 ISBN-13(EAN): 9780813349107 Издательство: Taylor&Francis Рейтинг: Цена: 10852 р. Наличие на складе: Нет в наличии.
Описание: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind .
Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.
Автор: Sidorov Denis Название: Integral Dynamical Models: Singularities, Signals and Control ISBN: 9814619183 ISBN-13(EAN): 9789814619189 Издательство: World Scientific Publishing Цена: 13556 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations.
Автор: Brin Название: Introduction to Dynamical Systems ISBN: 1107538947 ISBN-13(EAN): 9781107538948 Издательство: Cambridge Academ Рейтинг: Цена: 8063 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one, the authors use examples to motivate, clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory, data storage, and Internet search engines.
Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Автор: Sibani Paolo Название: Stochastic Dynamics of Complex Systems ISBN: 1848169930 ISBN-13(EAN): 9781848169937 Издательство: World Scientific Publishing Цена: 12870 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dynamical evolution over long time scales is a prominent feature of all systems we intuitively think of as complex; for example, ecosystems, or the economy. This book focuses on stochastic processes which cause ageing, and surprising fact that the ageing dynamics of systems which are different at microscopic level can be treated in similar ways.
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: 4976 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: Steeb Willi Hans Название: Problems And Solutions: Nonlinear Dynamics, Chaos And Fractals ISBN: 9813109920 ISBN-13(EAN): 9789813109926 Издательство: World Scientific Publishing Рейтинг: Цена: 9610 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: Brauer Название: Dynamical Systems for Biological Modeling ISBN: 1420066412 ISBN-13(EAN): 9781420066418 Издательство: Taylor&Francis Рейтинг: Цена: 15257 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents the techniques required to undertake basic modeling of biological systems through the development and analysis of dynamical systems. This title includes different types of applications from population biology and epidemiology. It provides examples of problems with solutions followed by exercises to reinforce the examples.
Автор: Berth? Название: Combinatorics, Words and Symbolic Dynamics ISBN: 1107077028 ISBN-13(EAN): 9781107077027 Издательство: Cambridge Academ Цена: 18018 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory of computation, multidimensional subshifts, discrete dynamical systems, ergodic theory, numeration systems, dynamical arithmetics, automata theory and synchronised words, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then they are also extended to repetitions in words, similarity relations, cellular automata, friezes and Dynkin diagrams. The book will appeal to graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, tilings and stringology. It will also interest biologists using text algorithms.
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