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Author: Arvind Kumar
Publisher: NBT India
ISBN: 9788123715964
Category : Chaotic behavior in systems
Languages : en
Pages : 206
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Book Description
The leaking tap in our bathroom exhibits chaos, the bronchial network of our lungs has a fractal structureand all of us are marvellous self-organising systems of nature.In a lucid and non technical account the book explains some of these pioneering ideas that are destined to cultivate in a new non- linear science of the next century.
Author: Arvind Kumar
Publisher: NBT India
ISBN: 9788123715964
Category : Chaotic behavior in systems
Languages : en
Pages : 206
Get Book Here
Book Description
The leaking tap in our bathroom exhibits chaos, the bronchial network of our lungs has a fractal structureand all of us are marvellous self-organising systems of nature.In a lucid and non technical account the book explains some of these pioneering ideas that are destined to cultivate in a new non- linear science of the next century.
Author: Marat Akhmet
Publisher: Springer Nature
ISBN: 3030358542
Category : Mathematics
Languages : en
Pages : 233
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Book Description
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.
Author: David Peak
Publisher: W H Freeman & Company
ISBN: 9780716724292
Category : Science
Languages : en
Pages : 408
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Book Description
Presents an introduction to the dynamics of order and chaos, fractals, and complexity.
Author: Şefika Şule Erçetin
Publisher: Springer Nature
ISBN: 3030740579
Category : Science
Languages : en
Pages : 317
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Book Description
This book analyzes a range of new developments in various fields concerning the concepts of chaos and complexity theory. The proceedings of the 7th International Symposium on Chaos, Complexity and Leadership feature newly developed concepts involving various research methodologies for identifying chaos and complexity in different fields of the sciences and leadership. In addition, it explores chaotic and complex systems from all fields of knowledge in order to stake a claim of prevalence of compatibility between knowledge fields. Particular emphasis is placed on exploring non-linearity in order to open a discussion on new approaches to and perspectives on chaos, complexity and leadership. Readers will find coverage of important events that have recently taken place in our world, regardless of whether they were social, political, economic or scientific in nature. The book explores diverse aspects of and issues related to the effects of chaos and complexity in the world; discusses the application of nonlinear dynamics in order to arrive at transformational policies; and offers projections of tomorrow’s world using an interdisciplinary approach. Though primarily intended for readers with an interest in nonlinear science, thanks to its focus on the application of chaos and complexity to other disciplines, the book appeals to a broad readership.
Author: Ali Bulent Cambel
Publisher: Elsevier
ISBN: 0080571360
Category : Mathematics
Languages : en
Pages : 265
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Book Description
This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. - Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology - Presents interdisciplinary applications of chaos theory to complex systems - Emphasizes the meaning of mathematical equations rather than their derivations - Features reader friendly presentation with many illustrations and interpretations - Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text
Author: Andrzej Lasota
Publisher: Springer Science & Business Media
ISBN: 146124286X
Category : Mathematics
Languages : en
Pages : 481
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Book Description
The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.
Author: Garnett Williams
Publisher: CRC Press
ISBN: 1482295415
Category : Mathematics
Languages : en
Pages : 518
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Book Description
This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
Author: Stavros G. Stavrinides
Publisher: Springer Nature
ISBN: 3030354415
Category : Science
Languages : en
Pages : 169
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Book Description
This book presents the proceedings of the “5th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (CCS).” All Symposia in the series bring together scientists, engineers, economists and social scientists, creating a vivid forum for discussions on the latest insights and findings obtained in the areas of complexity, nonlinear dynamics and chaos theory, as well as their interdisciplinary applications. The scope of the latest Symposium was enriched with a variety of contemporary, interdisciplinary topics, including but not limited to: fundamental theory of nonlinear dynamics, networks, circuits, systems, biology, evolution and ecology, fractals and pattern formation, nonlinear time series analysis, neural networks, sociophysics and econophysics, complexity management and global systems.
Author: Oliver Linton
Publisher: eBook Partnership
ISBN: 191270613X
Category : Mathematics
Languages : en
Pages : 64
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Book Description
What are fractals? Why are they such fun? How do you make one? Why is a dripping tap not as random as it seems? What is chaos? Is the Mandelbrot Set really the most complex object in mathematics? In this beautifully illustrated book, fractal-hunter Oliver Linton takes us on a fascinating journey into the mathematics of fractals and chaos, diving into many kinds of self- similar structures to reveal some of the most recently discovered and intriguing patterns in science and nature. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.
Author: David P. Feldman
Publisher: Oxford University Press, USA
ISBN: 0199566445
Category : Mathematics
Languages : en
Pages : 432
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Book Description
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.
