Описание: The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail. The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs. The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing.
Автор: Mandelbrot Benoit B. Название: Fractals: Form, Chance and Dimension ISBN: 1635618541 ISBN-13(EAN): 9781635618549 Издательство: Random House (USA) Рейтинг: Цена: 3398.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Discover the Hidden Mathematics of Modern Geometry
Fractals, the never-ending geometric-mathematical patterns existing throughout nature, are revealed in the shapes of continents, galaxies, snowflakes, and grains of sand. In this fascinating and seminal volume, renowned pioneering-mathematician Benoit B. Mandelbrot explains his work on fractal geometry, mathematically translating the description of these complex shapes of nature.
Until Mandelbrot developed the concept of fractal geometry in the 1960s and 70s, most mathematicians believed these irregular shapes were too fragmented and amorphous to be described mathematically. Mandelbrot's revolutionary concept brought order to a variety of seemingly unsolvable problems in physics, biology, and financial markets.
Broad in application, this groundbreaking work will inform not just mathematicians, but anyone that appreciates the natural elegance of patterns made manifest. Featuring illustrations of mathematically defined shapes, Mandelbrot describes how geometric patterns relate to every aspect of the physical world around us.
Автор: Heinz-Otto Peitgen; Hartmut J?rgens; Dietmar Saupe Название: Chaos and Fractals ISBN: 1468493965 ISBN-13(EAN): 9781468493962 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors.
Описание: Provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. This book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, it includes more than 100 worked out examples and 150 ready to run programs.
Автор: Feldman David P Название: Chaos and Fractals ISBN: 0199566445 ISBN-13(EAN): 9780199566440 Издательство: Oxford Academ Рейтинг: Цена: 6810.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.
The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C]+, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 160 ready to run programs are included. Each chapter provides a collection of interesting problems. New topics added to the 6th edition are Swarm Intelligence, Quantum Cellular Automata, Hidden Markov Model and DNA, Birkhoff's ergodic theorem and chaotic maps, Banach fixed point theorem and applications, tau-wavelets of Haar, Boolean derivatives and applications, and Cartan forms and Lagrangian.
Автор: Marat Akhmet; Mehmet Onur Fen; Ejaily Milad Alejai Название: Dynamics with Chaos and Fractals ISBN: 3030358534 ISBN-13(EAN): 9783030358532 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Поставка под заказ.
Описание: The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.
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.
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: Benoit Mandelbrot; P.W. Jones; C.J.G. Evertsz; M.C Название: Fractals and Chaos ISBN: 1441918973 ISBN-13(EAN): 9781441918970 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure.
Автор: Banerjee Название: Fractals, Patterns In Nonlinear Dyn ISBN: 1498741355 ISBN-13(EAN): 9781498741354 Издательство: Taylor&Francis Рейтинг: Цена: 20671.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes the basic idea, history, structure, methodology and analysis of fractals, the relationship between fractals and nonlinear dynamics, the applications of fractal and multifractal analysis in biomedical science, and how fractal signals and images are modelled by Iterated Function system.
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