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Mathematical Modelling Of Complex Patterns Through Fractals And Dynamical Systems
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Book Synopsis Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems by : Gowrisankar Arulprakash
Download or read book Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems written by Gowrisankar Arulprakash and published by Springer Nature. This book was released on with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Modelling of Complex Patterns through Fractals and Dynamical Systems by : Gowrisankar Arulprakash
Download or read book Mathematical Modelling of Complex Patterns through Fractals and Dynamical Systems written by Gowrisankar Arulprakash and published by Springer. This book was released on 2024-09-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Methods of Mathematical Modelling and Computation for Complex Systems by : Jagdev Singh
Download or read book Methods of Mathematical Modelling and Computation for Complex Systems written by Jagdev Singh and published by Springer Nature. This book was released on 2021-08-26 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers and educators in understanding and studying various new aspects associated with complex systems. Key Feature • The chapters include theory and application in a mix and balanced way. • Readers find reasonable details of developments concerning a topic included in this book. • The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.
Book Synopsis Rain Formation in Warm Clouds by : A. M. Selvam
Download or read book Rain Formation in Warm Clouds written by A. M. Selvam and published by Springer. This book was released on 2015-02-12 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to promote the understanding of some of the basic mathematical and scientific issues in the subjects relating to climate dynamics, chaos and quantum mechanics. It is based on substantial research work in atmospheric science carried out over twenty years. Atmospheric flows exhibit self similar fractal fluctuations, a signature of long-range correlations on all space-time scales. Realistic simulation and prediction of atmospheric flows requires the incorporation of the physics of observed fractal fluctuation characteristics in traditional meteorological theory. A general systems theory model for fractal space-time fluctuations in turbulent atmospheric flows is presented and applied to the formation of rain in warm clouds. This model gives scale-free universal governing equations for cloud growth processes. The model predicted cloud parameters are in agreement with reported observations, in particular, the cloud drop-size distribution. Rain formation can occur in warm clouds within 30 minutes as observed in practice under favourable conditions of moisture supply in the environment. Traditional cloud physical concepts for rain development requires over an hour for a full-sized raindrop to form. The book provides background reading for postgraduate students of Meteorology, Atmospheric Sciences/Physics, Environmental Sciences, and scientists working in the field of the topic of the book as well as the multidisciplinary field of Nonlinear Dynamics and Chaos.
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.
Author :Heinz-Otto Peitgen Publisher :Springer Science & Business Media ISBN 13 :9783540158516 Total Pages :226 pages Book Rating :4.1/5 (585 download)
Book Synopsis The Beauty of Fractals by : Heinz-Otto Peitgen
Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 1986-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fractals in Biology and Medicine by : G. Losa
Download or read book Fractals in Biology and Medicine written by G. Losa and published by Birkhäuser. This book was released on 2013-03-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.
Book Synopsis Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems by : Lui Lam
Download or read book Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems written by Lui Lam and published by World Scientific Publishing Company. This book was released on 1998-03-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.
Book Synopsis Cellular Automata and Complex Systems: Methods for Modeling Biological Phenomena by : Bilotta, Eleonora
Download or read book Cellular Automata and Complex Systems: Methods for Modeling Biological Phenomena written by Bilotta, Eleonora and published by IGI Global. This book was released on 2010-06-30 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The theme of this book is the use of Cellular Automatas (CAs) to model biological systems, describing 2-D CAs to create populations of "life-like agents" with their own genomes"--Provided by publisher.
Book Synopsis Fractal Sustainability by : Isabel Canto de Loura
Download or read book Fractal Sustainability written by Isabel Canto de Loura and published by Taylor & Francis. This book was released on 2016-08-12 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even though the fractal approach to sustainability and organizational change management is not new, no authors so far seem to have truly attempted to use fractals as a mathematical means to map and measure organizational sustainability. Several sustainability maturity models and change management models and frameworks, concepts and computer generated systems came to the fore during the past two decades. They provided a set of useful tools for managers, academics and students to refer to, or on which to base their own actions and plans. However, one issue remains: most of those models and frameworks share a rather similar linear ‘skeleton’; the main difference between them is the quantitative variety of steps within each phase, stage, and parameter and how in depth each of these is presented. The authors' work addresses a clear gap in the literature and in applied research, as it emphasizes the relevance of using a complex mathematically-based but user-friendly fractal approach. Readers are able to better understand, implement, map and measure change management processes leading to a sustainability-focused mindset. Subsequent chapters guide you through the steps towards creating committed sustainability-based strategies, attitudes, actions and practices across all levels in the broad organizational context. This text is essential reading for students researching business and management and who are interested in the Fractal Sustainability concept.
Book Synopsis Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives by : Orsucci, Franco
Download or read book Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives written by Orsucci, Franco and published by IGI Global. This book was released on 2012-09-30 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are new and important advancements in todays complexity theories in ICT and requires an extraordinary perspective on the interaction between living systems and information technologies. With human evolution and its continuous link with the development of new tools and environmental changes, technological advancements are paving the way for new evolutionary steps. Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives is a collection of research provided by academics and scholars aiming to introduce important advancements in areas such as artificial intelligence, evolutionary computation, neural networks, and much more. This scholarly piece will provide contributions that will define the line of development in complexity science.
Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Book Synopsis A Living Systems Theory of Vocational Behavior and Development by : Fred W. Vondracek
Download or read book A Living Systems Theory of Vocational Behavior and Development written by Fred W. Vondracek and published by Springer. This book was released on 2014-07-03 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Living Systems Theory of Vocational Behavior and Development (LSVD) explains and illustrates the processes by which individuals construct their work experiences, vocational pathways and career patterns through episodes of interaction with affordances they recognize within their contexts, and how counseling can facilitate those processes. The LSVD was created by combining the scientifically based systems theory that explicates the dynamics of all aspects of human functioning and development, called Humans as Self-Constructing Living Systems, with important ideas about vocational behavior and development. The resulting integrative theory represents the individual person as a dynamic, self-directing and self-constructing entity, i.e., a living system. Behavior Episodes (BEs) are the fundamental, person-in-context, dynamic units of analysis that serve as the “building blocks” by which individuals construct and retain their experiences in patterns that can be reactivated to facilitate future BEs. The book describes how individuals’ history of satisfying BEs and their current activities provide the means by which vocational and career counselors can assist them to create satisfying vocational pathways. It also describes for researchers how new, non-linear, person-centered, quantitative and qualitative research methods can be used to analyze BE patterns to advance understanding of person-level processes that play key roles in individuals’ vocational behavior and development. The LSVD was designed to be not just an integrative framework for the field of career development, but also to reconnect the field to related areas such as human resources and industrial-organizational psychology and to the range of human sciences that have already embraced a living systems theoretical model.
Book Synopsis Reviews in Molecular and Cellular Oncology by : Daniel P. Bezerra
Download or read book Reviews in Molecular and Cellular Oncology written by Daniel P. Bezerra and published by Frontiers Media SA. This book was released on 2023-07-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Self-organized Criticality and Predictability in Atmospheric Flows by : Amujuri Mary Selvam
Download or read book Self-organized Criticality and Predictability in Atmospheric Flows written by Amujuri Mary Selvam and published by Springer. This book was released on 2017-05-05 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new concept of General Systems Theory and its application to atmospheric physics. It reveals that energy input into the atmospheric eddy continuum, whether natural or manmade, results in enhancement of fluctuations of all scales, manifested immediately in the intensification of high-frequency fluctuations such as the Quasi-Biennial Oscillation and the El-Nino–Southern Oscillation cycles. Atmospheric flows exhibit self-organised criticality, i.e. long-range correlations in space and time manifested as fractal geometry to the spatial pattern concomitant with an inverse power law form for fluctuations of meteorological parameters such as temperature, pressure etc. Traditional meteorological theory cannot satisfactorily explain the observed self-similar space time structure of atmospheric flows. A recently developed general systems theory for fractal space-time fluctuations shows that the larger-scale fluctuation can be visualised to emerge from the space-time averaging of enclosed small-scale fluctuations, thereby generating a hierarchy of self-similar fluctuations manifested as the observed eddy continuum in power spectral analyses of fractal fluctuations. The interconnected network of eddy circulations responds as a unified whole to local perturbations such as global-scale response to El-Nino events. The general systems theory model predicts an inverse power law form incorporating the golden mean τ for the distribution of space-time fluctuation patterns and for the power (variance) spectra of the fluctuations. Since the probability distributions of amplitude and variance are the same, atmospheric flows exhibit quantumlike chaos. Long-range correlations inherent to power law distributions of fluctuations are identified as nonlocal connection or entanglement exhibited by quantum systems such as electrons or photons. The predicted distribution is close to the Gaussian distribution for small-scale fluctuations, but exhibits a fat long tail for large-scale fluctuations. Universal inverse power law for fractal fluctuations rules out unambiguously linear secular trends in climate parameters.
Book Synopsis From Stars to Brains: Milestones in the Planetary Evolution of Life and Intelligence by : Andrew Y. Glikson
Download or read book From Stars to Brains: Milestones in the Planetary Evolution of Life and Intelligence written by Andrew Y. Glikson and published by Springer. This book was released on 2019-02-18 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The permutation of basic atoms—nitrogen, hydrogen, oxygen, carbon and phosphorus―into the biomolecules DNA and RNA, subsequently evolved in cells and brains, defining the origin of life and intelligence, remains unexplained. Equally the origin of the genetic information and the intertwined nature of ‘hardware’ and ‘software’ involved in the evolution of bio-molecules and the cells are shrouded in mystery. This treatise aims at exploring individual and swarm behaviour patterns which potentially hint at as yet unknown biological principles. It reviews theories of evolution with perspectives from the earth sciences, commencing with the earliest observed records of life. This is followed by reviews and discussion of the building blocks of life, marine and terrestrial communities, the arthropods, birds and finally humans. It is suggested that, further to the mutation/natural selection processes established by Darwin and Wallace, an understanding of the evolution of intelligence remains little understood. A directionality of evolutionary trajectories is evident, not least the purposeful thinking process of humans as well as animals. It is not clear how directional intelligence, manifested for example by the collective intelligence of arthropod colonies, has evolved from mutation/natural selection processes. Potential clues for the understanding of life and evolution are provided by Aristotle’s dictum of “the whole being greater than the sum of the parts”, Niels Bohr’s principle of quantum complementarity and George Ellis’ theory of top-down causality. Inherent in the question of the origin of life is an anthropocentric bias, related to the self-referential Anthropic Principle and theological paradigms of man’s supposed dominion over all other species. The Anthropic Principle, however, should be capable of being circumvented using the scientific falsification method, assuming universal verified constants of physics. The phenomenon of the human mastery of fire and the splitting of the atom, leading to the seventh major mass extinction of species, remains incomprehensible.
Book Synopsis Introduction to Mathematical Modeling and Chaotic Dynamics by : Ranjit Kumar Upadhyay
Download or read book Introduction to Mathematical Modeling and Chaotic Dynamics written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2013-07-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
