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Author: V. S. Ivanova
Publisher: Nova Publishers
ISBN: 9781590339640
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Non-linear systems behaviours are discussed in this book from the point of new scientific approaches to the interdiscipline nature of the fractal geometry and synergetics. Fractal analysis, synergetics methods and mathematical design are considered according to actual problems of condensed media physics, mechanics, material science and geology.
Author: V. S. Ivanova
Publisher: Nova Publishers
ISBN: 9781590339640
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Non-linear systems behaviours are discussed in this book from the point of new scientific approaches to the interdiscipline nature of the fractal geometry and synergetics. Fractal analysis, synergetics methods and mathematical design are considered according to actual problems of condensed media physics, mechanics, material science and geology.
Author: Ahad Kh Janahmadov
Publisher: Springer
ISBN: 3319281895
Category : Science
Languages : en
Pages : 381
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Book Description
This book examines the theoretical and practical aspects of tribological process using synergy, fractal and multifractal methods, and the fractal and multifractal models of self-similar tribosystems developed on their basis. It provides a comprehensive analysis of their effectiveness, and also considers the method of flicker noise spectroscopy with detailed parameterization of surface roughness friction. All models, problems and solutions are taken and tested on the set of real-life examples of oil-gas industry. The book is intended for researchers, graduate students and engineers specialising in the field of tribology, and also for senior students of technical colleges.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 804
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Book Description
Author: Miroslav M Novak
Publisher: World Scientific
ISBN: 9814546062
Category :
Languages : en
Pages : 500
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Book Description
Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.
Author: Santo Banerjee
Publisher: Springer Nature
ISBN: 3030626725
Category : Science
Languages : en
Pages : 132
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Book Description
This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 864
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Book Description
Author: Paul Bogdan
Publisher: Frontiers Media SA
ISBN: 2889635317
Category :
Languages : en
Pages : 180
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Book Description
Widespread chronic diseases (e.g., heart diseases, diabetes and its complications, stroke, cancer, brain diseases) constitute a significant cause of rising healthcare costs and pose a significant burden on quality-of-life for many individuals. Despite the increased need for smart healthcare sensing systems that monitor / measure patients’ body balance, there is no coherent theory that facilitates the modeling of human physiological processes and the design and optimization of future healthcare cyber-physical systems (HCPS). The HCPS are expected to mine the patient’s physiological state based on available continuous sensing, quantify risk indices corresponding to the onset of abnormality, signal the need for critical medical intervention in real-time by communicating patient’s medical information via a network from individual to hospital, and most importantly control (actuate) vital health signals (e.g., cardiac pacing, insulin level, blood pressure) within personalized homeostasis. To prevent health complications, maintain good health and/or avoid fatal conditions calls for a cross-disciplinary approach to HCPS design where recent statistical-physics inspired discoveries done by collaborations between physicists and physicians are shared and enriched by applied mathematicians, control theorists and bioengineers. This critical and urgent multi-disciplinary approach has to unify the current state of knowledge and address the following fundamental challenges: One fundamental challenge is represented by the need to mine and understand the complexity of the structure and dynamics of the physiological systems in healthy homeostasis and associated with a disease (such as diabetes). Along the same lines, we need rigorous mathematical techniques for identifying the interactions between integrated physiologic systems and understanding their role within the overall networking architecture of healthy dynamics. Another fundamental challenge calls for a deeper understanding of stochastic feedback and variability in biological systems and physiological processes, in particular, and for deciphering their implications not only on how to mathematically characterize homeostasis, but also on defining new control strategies that are accounting for intra- and inter-patient specificity – a truly mathematical approach to personalized medicine. Numerous recent studies have demonstrated that heart rate variability, blood glucose, neural signals and other interdependent physiological processes demonstrate fractal and non-stationary characteristics. Exploiting statistical physics concepts, numerous recent research studies demonstrated that healthy human physiological processes exhibit complex critical phenomena with deep implications for how homeostasis should be defined and how control strategies should be developed when prolonged abnormal deviations are observed. In addition, several efforts have tried to connect these fractal characteristics with new optimal control strategies that implemented in medical devices such as pacemakers and artificial pancreas could improve the efficiency of medical therapies and the quality-of-life of patients but neglecting the overall networking architecture of human physiology. Consequently, rigorously analyzing the complexity and dynamics of physiological processes (e.g., blood glucose and its associated implications and interdependencies with other physiological processes) represents a fundamental step towards providing a quantifiable (mathematical) definition of homeostasis in the context of critical phenomena, understanding the onset of chronic diseases, predicting deviations from healthy homeostasis and developing new more efficient medical therapies that carefully account for the physiological complexity, intra- and inter-patient variability, rather than ignoring it. This Research Topic aims to open a synergetic and timely effort between physicians, physicists, applied mathematicians, signal processing, bioengineering and biomedical experts to organize the state of knowledge in mining the complexity of physiological systems and their implications for constructing more accurate mathematical models and designing QoL-aware control strategies implemented in the new generation of HCPS devices. By bringing together multi-disciplinary researchers seeking to understand the many aspects of human physiology and its complexity, we aim at enabling a paradigm shift in designing future medical devices that translates mathematical characteristics in predictable mathematical models quantifying not only the degree of homeostasis, but also providing fundamentally new control strategies within the personalized medicine era.
Author: Loganina Valentina Ivanovna
Publisher: Woodhead Publishing
ISBN: 0128170476
Category : Architecture
Languages : en
Pages : 202
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Book Description
Increasing the Durability of Paint and Varnish Coatings in Building Products and Construction presents data and analysis on regularities in the appearance quality of protective and decorative coatings for building products and structures, also detailing the relationship between the resistance of coatings and the quality of their appearance. Developing a method for ensuring the quality of painted surfaces for building products and developing control methods is an important scientific, technical and economic problem. The conditions needed depend largely on the rheological properties of paint and the processes of wetting and application, with different variables for metal or concrete structures. Presents data and methodological developments that increase the service-life of protective and decorative coatings Details regularities in the appearance quality of protective and decorative coatings Covers the relationship between coating resistance and appearance quality Develops methods for ensuring the quality of painted surfaces Considers the different variables for the application of paint to various surfaces of building products and structures
Author: Masao Nakagawa
Publisher: World Scientific
ISBN: 9789810238339
Category : Mathematics
Languages : en
Pages : 960
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Book Description
This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.
Author: Tetiana Dombrovan
Publisher: Cambridge Scholars Publishing
ISBN: 1527509516
Category : Language Arts & Disciplines
Languages : en
Pages : 152
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Book Description
The book provides an introduction to some basic concepts of linguistic synergetics, viewed here as a new multidisciplinary research approach to language studies. It also advances diachronic linguosynergetics, focusing on principles and mechanisms of language change and development, and employing the methodological integrity of philosophy, linguistics and synergetics. Diachronic linguosynergetics endeavours to capture language in a state of change, when a language system follows a non-linear path, through numerous fluctuations and dissipation, leading out of chaos to order and stability. The book considers human language as an open, dynamic, non-linear, and self-organising system, with all its hierarchical subsystems and elements coherently interconnected and controlled by governing parameters. Special emphasis is laid on a variety of change rates on different language levels. As such, diachronic linguosynergetics is capable of addressing a broad range of issues concerning language change. It sheds new light on language development and permits better descriptions of phase transitions, or reconfigurations, of language as a synergetic megasystem.
