Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems PDF Download
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Author: Gowrisankar Arulprakash
Publisher: Springer Nature
ISBN: 9819723434
Category :
Languages : en
Pages : 224
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Book Description
Author: Gowrisankar Arulprakash
Publisher: Springer Nature
ISBN: 9819723434
Category :
Languages : en
Pages : 224
Get Book Here
Book Description
Author: Gowrisankar Arulprakash
Publisher: Springer
ISBN: 9789819723423
Category : Computers
Languages : en
Pages : 0
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Book Description
This book offers a wide range of interesting correlations beyond the domains of dynamical systems, complex systems, and fractal geometry. Exploring complex systems and their properties using the fractal approaches, this book provides initial solutions for new areas where fractal theory has yet to verify its expertise. Further, the book focusses on the latest scientific interest and illustrates general fractal theory in multidisciplinary areas such as computer science, electronics engineering, electrical engineering, bioengineering, biomedical, quantum physics and fluid dynamics research. This edited book is designed for professionals in the field of mathematics, computer science and physics, and even for non-specialists to help understand the concepts of fractals in nonlinear dynamical systems and complex systems while offering applications for researchers in the pure as well as in the applied background of science and engineering.
Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
ISBN: 9783540158516
Category : Computers
Languages : en
Pages : 226
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Book Description
Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.
Author: Gary A. Freitas
Publisher: Austin Macauley Publishers
ISBN: 1638291624
Category : Technology & Engineering
Languages : en
Pages : 243
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Book Description
As we approach 2050, it is projected that human consciousness will encounter a superior intelligence for the very first time: artificial machine intelligence. It is important for us to understand the evolutionary impact of this event, but also that we are being altered from the inside out for the singularity to arise. Are we ready? Will we be adaptive? How will we change? The Coming Singularity explores the psychological impact of the changes coming our way and the many adaptations we will have to make. We are transitioning to a world of one degree of separation, with only the illusion of privacy, autonomy and anonymity. All of us are undergoing a transition to an electronic identity, one that can reach back and change the real you. The question going forward will be, who is the real you? A cluster of psychological symptoms are evolving from our technology interface––Identity Diffusion. Its key feature is the de-realization of life. Direct brain-to-technology interfaces will soon render our brains an open-source forum. We need to discuss who is in there and why! The impact of e-technology on human identity will be profound, but it is also a prerequisite for machine intelligence to arise. We need to discuss this. We humans reside in complex, dynamical networks. The goal of artificial intelligence will be to evolve and stabilize these networks. And we may not be the priority.
Author: Nino Boccara
Publisher: Springer Science & Business Media
ISBN: 1441965629
Category : Computers
Languages : en
Pages : 490
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Book Description
This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.
Author: Daniel P. Bezerra
Publisher: Frontiers Media SA
ISBN: 2832527892
Category : Medical
Languages : en
Pages : 626
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Book Description
Author: Daniel Kaplan
Publisher: Springer Science & Business Media
ISBN: 9780387944401
Category : Mathematics
Languages : en
Pages : 448
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Book Description
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.
Author: Juan José Ibáñez
Publisher: CRC Press
ISBN: 1466582774
Category : Nature
Languages : en
Pages : 258
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Book Description
Soil diversity (pedodiversity) is part of our natural and cultural heritage. The preservation of the pedosphere is essential for the protection of the biosphere and the Earth’s systems, the regulation of climate, and for world food security. In this book, reputed international experts discuss the state of the art of pedodiversity analysis—analyzing the relationships among biodiversity, pedodiversity, landform diversity, lithodiversity, and land use diversity. The first of its kind, the book is intended to be a combined handbook, historical account of pedodiversity research, and essay on its future challenges.
Author: Ranjit Kumar Upadhyay
Publisher: CRC Press
ISBN: 1439898863
Category : Mathematics
Languages : en
Pages : 367
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Book Description
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®. The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Author: Robin S Chapman
Publisher: World Scientific
ISBN: 9814479888
Category : Science
Languages : en
Pages : 195
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Book Description
With the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of Wisconsin-Madison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's full-color computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiple-choice quiz to test understanding. Accompanied by a CD-ROM of the poet reading 13 poems and 1,000 images of chaos art from which slide shows can be generated and 100 high-resolution posters created, the book has a foreword by Cliff Pickover, author of A Passion for Mathematics.
