Nonlinear Dynamics Perspective Of Wolfram`S New Kind Of Science, A (Volume V), Chua Leon O
Автор: J. M. T. Thompson Название: Nonlinear Dynamics and Chaos, 2nd Edition ISBN: 0471876844 ISBN-13(EAN): 9780471876847 Издательство: Wiley Рейтинг: Цена: 12030.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. This revised edition provides new material, including a glossary and bibliography, as well as a generous supplement of new figures and illustrations.
Описание: This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or blue (for binary state 0), forming a toy universe of 256 Boolean cubes, each bearing a different vertex color combination.The corresponding collection of 256 distinct Boolean cubes are then segegrated logically into 6 distinct groups where members from each group share certain common dynamics which allow the long-term evolution of the color configuration of each bit string, of arbitrary length, to be predicted painlessly, via a toy-like gaming procedure, without involving any calculation. In particular, the evolution of any bit string bearing any initial color configuration which resides in any one of the possibly many distinct attractors, can be systematically predicted, by school children who are yet to learn arithmetic, via a simple recipe, for any Boolean cube belonging to group 1, 2, 3, or 4. The simple recipe for predicting the time-asymptotic behaviors of Boolean cubes belonging to groups 1, 2, and 3 has been covered in Vols. I, II, ..., V.This final volume continues the recipe for each of the 108, out of 256, local rules, dubbed the Bernoulli rules, belonging to group 4. Here, for almost half of the toy universe, surprisingly simple recipes involving only the following three pieces of information are derived in Vol. VI; namely, a positive integer ?, a positive, or negative, integer ?, and a sign parameter ? > 0, or ? 0 (resp. ? < 0), and then change the color of each cell if ? < 0.As in the five prior volumes, Vol. VI also contains simple recipes which are, in fact, general and original results from the abstract theory of 1-dimensional cellular automata. Indeed, both children and experts from cellular automata will find this volume to be as deep, refreshing, and entertaining, as the previous volumes.
Автор: Wolfram Название: Applications of Group Theory to Atoms, Molecules, and Solids ISBN: 1107028523 ISBN-13(EAN): 9781107028524 Издательство: Cambridge Academ Рейтинг: Цена: 25502.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Taking a unique, applications-oriented approach, this book helps readers understand the power of group theory and gives them the tools needed to analyze any atomic, molecular, or crystalline solid system. With over 100 end-of-chapter exercises, this book is invaluable for graduate students and researchers in the physical sciences.
Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan Название: Nonlinear Dynamics Integrability, Chaos and Patterns ISBN: 3642628729 ISBN-13(EAN): 9783642628726 Издательство: Springer Рейтинг: Цена: 25149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.
Автор: Vladimir G. Ivancevic; Tijana T. Ivancevic Название: Computational Mind: A Complex Dynamics Perspective ISBN: 3642090680 ISBN-13(EAN): 9783642090684 Издательство: Springer Рейтинг: Цена: 39182.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It presents a modern dynamical theory of the computational mind, combining cognitive psychology, artificial and computational intelligence, and chaos theory with quantum consciousness and computation.
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