Chaos, Fractals and Self-Organisation

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Author :
Publisher : NBT India
ISBN 13 : 9788123715964
Total Pages : 206 pages
Book Rating : 4.7/5 (159 download)

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Book Synopsis Chaos, Fractals and Self-Organisation by : Arvind Kumar

Download or read book Chaos, Fractals and Self-Organisation written by Arvind Kumar and published by NBT India. This book was released on 2002 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaos Under Control

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Author :
Publisher : W H Freeman & Company
ISBN 13 : 9780716724292
Total Pages : 408 pages
Book Rating : 4.7/5 (242 download)

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Book Synopsis Chaos Under Control by : David Peak

Download or read book Chaos Under Control written by David Peak and published by W H Freeman & Company. This book was released on 1994 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to the dynamics of order and chaos, fractals, and complexity.

Chaos, Fractals and Complexity

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Author :
Publisher : Springer Nature
ISBN 13 : 3031374045
Total Pages : 381 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Chaos, Fractals and Complexity by : Tassos Bountis

Download or read book Chaos, Fractals and Complexity written by Tassos Bountis and published by Springer Nature. This book was released on 2023-10-23 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.

Dynamics with Chaos and Fractals

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Author :
Publisher : Springer Nature
ISBN 13 : 3030358542
Total Pages : 226 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Dynamics with Chaos and Fractals by : Marat Akhmet

Download or read book Dynamics with Chaos and Fractals written by Marat Akhmet and published by Springer Nature. This book was released on 2020-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractals

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Author :
Publisher : eBook Partnership
ISBN 13 : 191270613X
Total Pages : 64 pages
Book Rating : 4.9/5 (127 download)

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Book Synopsis Fractals by : Oliver Linton

Download or read book Fractals written by Oliver Linton and published by eBook Partnership. This book was released on 2021-05-20 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaos, Fractals and Complexity

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Author :
Publisher : Springer
ISBN 13 : 9783031374036
Total Pages : 0 pages
Book Rating : 4.3/5 (74 download)

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Book Synopsis Chaos, Fractals and Complexity by : Tassos Bountis

Download or read book Chaos, Fractals and Complexity written by Tassos Bountis and published by Springer. This book was released on 2023-09-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.

Chaos, Complexity and Leadership 2020

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Author :
Publisher : Springer Nature
ISBN 13 : 3030740579
Total Pages : 317 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Chaos, Complexity and Leadership 2020 by : Şefika Şule Erçetin

Download or read book Chaos, Complexity and Leadership 2020 written by Şefika Şule Erçetin and published by Springer Nature. This book was released on 2021-07-30 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems

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Author :
Publisher : Academic Press
ISBN 13 : 0323886167
Total Pages : 352 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems by : Yeliz Karaca

Download or read book Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems written by Yeliz Karaca and published by Academic Press. This book was released on 2022-06-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of different complex systems and many-body systems. Provides readers with a bridge between application of advanced computational mathematical methods and AI based on comprehensive analyses and broad theories.

Chaos, Fractals, and Dynamics

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Author :
Publisher : CRC Press
ISBN 13 : 100015422X
Total Pages : 282 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Chaos, Fractals, and Dynamics by : P. Fischer

Download or read book Chaos, Fractals, and Dynamics written by P. Fischer and published by CRC Press. This book was released on 2020-11-26 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were generated by computer calculations of underlying two-dimensional maps.

Chaos, Fractals, and Noise

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 146124286X
Total Pages : 481 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos, Fractals, and Noise by : Andrzej Lasota

Download or read book Chaos, Fractals, and Noise written by Andrzej Lasota and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Chaos Theory

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Author :
Publisher : Elsevier
ISBN 13 : 0080571360
Total Pages : 265 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Applied Chaos Theory by : Ali Bulent Cambel

Download or read book Applied Chaos Theory written by Ali Bulent Cambel and published by Elsevier. This book was released on 1993-01-25 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Chaos and Fractals

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0199566445
Total Pages : 432 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Chaos and Fractals by : David P. Feldman

Download or read book Chaos and Fractals written by David P. Feldman and published by Oxford University Press, USA. This book was released on 2012-08-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Developments in Chaos and Complexity Research

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Author :
Publisher : Nova Publishers
ISBN 13 : 9781604563405
Total Pages : 280 pages
Book Rating : 4.5/5 (634 download)

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Book Synopsis Developments in Chaos and Complexity Research by : Nicoletta Sala

Download or read book Developments in Chaos and Complexity Research written by Nicoletta Sala and published by Nova Publishers. This book was released on 2008 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest leading-edge international research on artificial life, cellular automata, chaos theory, cognition, complexity theory, synchronisation, fractals, genetic algorithms, information systems, metaphors, neural networks, non-linear dynamics, parallel computation and synergetics. The unifying feature of this research is the tie to chaos and complexity.

Chaotic Dynamics and Fractals

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Author :
Publisher : Academic Press
ISBN 13 : 1483269086
Total Pages : 305 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Chaotic Dynamics and Fractals by : Michael F. Barnsley

Download or read book Chaotic Dynamics and Fractals written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaotic Dynamics and Fractals covers the proceedings of the 1985 Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference deals with the research area of chaos, dynamical systems, and fractal geometry. This text is organized into three parts encompassing 16 chapters. The first part describes the nature of chaos and fractals, the geometric tool for some strange attractors, and other complicated sets of data associated with chaotic systems. This part also considers the Henon-Hiles Hamiltonian with complex time, a Henon family of maps from C2 into itself, and the idea of turbulent maps in the course of presenting results on iteration of continuous maps from the unit interval to itself. The second part discusses complex analytic dynamics and associated fractal geometry, specifically the bursts into chaos, algorithms for obtaining geometrical and combinatorial information, and the parameter space for iterated cubic polynomials. This part also examines the differentiation of Julia sets with respects to a parameter in the associated rational map, permitting the formulation of Taylor series expansion for the sets. The third part highlights the applications of chaotic dynamics and fractals. This book will prove useful to mathematicians, physicists, and other scientists working in, or introducing themselves to, the field.

Chaos and Fractals

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Author :
Publisher : Oxford University Press
ISBN 13 : 0199566437
Total Pages : 431 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Chaos and Fractals by : David P. Feldman

Download or read book Chaos and Fractals written by David P. Feldman and published by Oxford University Press. This book was released on 2012-08-09 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaos and Complexity in Astrophysics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521855341
Total Pages : 492 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis Chaos and Complexity in Astrophysics by : O. Regev

Download or read book Chaos and Complexity in Astrophysics written by O. Regev and published by Cambridge University Press. This book was released on 2006-03-23 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primer for researchers and graduate students; introduces and applies chaos techniques to specific astrophysical systems.

Psyche's Veil

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Author :
Publisher : Routledge
ISBN 13 : 1317723651
Total Pages : 366 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Psyche's Veil by : Terry Marks-Tarlow

Download or read book Psyche's Veil written by Terry Marks-Tarlow and published by Routledge. This book was released on 2013-12-16 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, the language and concepts within clinical theory have been steeped in linear assumptions and reductionist thinking. Because the essence of psychotherapy involves change, Psyche’s Veil suggests that clinical practice is inherently a nonlinear affair. In this book Terry Marks-Tarlow provides therapists with new language, models and metaphors to narrow the divide between theory and practice, while bridging the gap between psychology and the sciences. By applying contemporary perspectives of chaos theory, complexity theory and fractal geometry to clinical practice, the author discards traditional conceptions of health based on ideals of regularity, set points and normative statistics in favour of models that emphasize unique moments, variability, and irregularity. Psyche’s Veil further explores philosophical and spiritual implications of contemporary science for psychotherapy. Written at the interface between artistic, scientific and spiritual aspects of therapy, Psyche’s Veil is a case-based book that aspires to a paradigm shift in how practitioners conceptualize critical ingredients for internal healing. Novel treatment of sophisticated psychoanalytical issues and tie-ins to interpersonal neurobiology make this book appeal to both the specialist practitioner, as well as the generalist reader. .