Future Of Fractals Proceedings Of The International Conference
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Author | : Sasuke Miyazima |
Publisher | : World Scientific |
Total Pages | : 378 |
Release | : 1997-07-01 |
Genre | : |
ISBN | : 9814548073 |
The topics covered in this volume include formation of fractal structures (kinetics of aggregation and gelation, depositions, cluster growth, chemical reactions, fractures, self-organized criticality, etc.) physical properties of fractals (transport, vibrations, magnetism, etc.), and especially applications of fractal concepts in materials science, geosciences, biological sciences and order fields.
Author | : Sasuke Miyazima |
Publisher | : |
Total Pages | : 378 |
Release | : 1997 |
Genre | : Fractals |
ISBN | : 9789814531405 |
Author | : S. Miyazima |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 366 |
Release | : 1997 |
Genre | : Fractals |
ISBN | : 9789810225704 |
Author | : Santo Banerjee |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2024-07-01 |
Genre | : Science |
ISBN | : 9783031586408 |
This book presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems - 2023 (ISMAFDS - 2023), held at the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu in India during August 24-25, 2023. It offers readers an array of captivating connections between fractal theory and nonlinear dynamics across various physics sub-domains and mathematical modeling. Fractal geometry has been developed to describe irregular natural objects that defy characterization using Euclidean geometry. Fractal techniques, such as fractal dimension and fractal functions, prove effective in mathematically modeling real-world phenomena and forecasting future consequences. The impact of fractal theory on physical sciences is widely recognized, as natural phenomena frequently exhibit fractal structures. These new concepts revolutionize our understanding of the large-scale properties of matter distribution in the universe. The book aims to familiarize readers with recent developments in common fractal patterns found in statistical physics, quantum physics, and plasma physics. Furthermore, it highlights the relationship between fractals and nonlinear dynamics through innovative approaches in mathematical modeling. This publication caters to professionals in mathematics, physics, and computer science, and also serves as a helpful resource for non-specialists seeking to comprehend fractal and nonlinear dynamics concepts. It offers valuable applications for researchers in both pure and applied backgrounds of physics and engineering.
Author | : C Trico |
Publisher | : World Scientific |
Total Pages | : 298 |
Release | : 1995-01-16 |
Genre | : |
ISBN | : 9814550574 |
Fractal sets serve as excellent models in Physics, Chemistry, Biology and other fields. However, the actual applications of these fascinating models are often unknown even to specialists in fractal theories. The communication of the most recent results utilising fractal concepts in experimental and industrial engineering research was thus a major challenge discussed in the above conference.The resulting proceedings are organised around five main themes: Materials Processing, Flow, Natural Sciences, Signal and Image Analysis and Mathematical Methods. Almost 50 papers are included in this volume. Besides the classical topics, the book also introduces an important session on Fractal Signal and Image Analysis, a subject which is rapidly gaining recognition in computer science and engineering for its promising industrial applications.
Author | : Asit Saha |
Publisher | : Springer Nature |
Total Pages | : 703 |
Release | : |
Genre | : |
ISBN | : 3031691342 |
Author | : Gabriele A. Losa |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 3764374128 |
This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions.
Author | : M.M. Novak |
Publisher | : CRC Press |
Total Pages | : 414 |
Release | : 1995-08-01 |
Genre | : Mathematics |
ISBN | : 9780412710209 |
This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.
Author | : Dipak Kumar Kole |
Publisher | : Springer Nature |
Total Pages | : 694 |
Release | : |
Genre | : |
ISBN | : 981972614X |
Author | : Yeliz Karaca |
Publisher | : Academic Press |
Total Pages | : 352 |
Release | : 2022-06-22 |
Genre | : Science |
ISBN | : 0323886167 |
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.