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تعداد نتایج: 242

Fractal Patterns in Nonlinear Dynamics and Applications

$Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their role in the dimensional analysis. For the first time, fractals emphasizing mostly on stochastic fractal, and multifractals which evolves with time instead of scale-free self-similarity, are discussed. Moreover, it looks at power laws and dynamic scaling laws in some detail and provides an overview of modern statistical tools for calculating fractal dimension and multifractal spectrum.$

جزئیات و درخواست

By Santo Banerjee, M K Hassan, Sayan Mukherjee, A Gowrisankar
Publisher: CRC Press, 2020-03-27
Pages: 207
Language: en
ISBN_13:9781498741361
ISBN_10:1498741363
Subject: Mathematics

Fractal Signatures in the Dynamics of an Epidemiology

An Analysis of COVID-19 Transmission

$The recent Covid-19 pandemic threw the world into complete chaos with its rapid and devastating spread. Scientists are still trying to obtain a better understanding of the patterns of COVID-19 and trying to get a deeper understanding of mutant strains and their pathogenicity by performing genomic sequences of more samples. Fractal-based analysis provides its unique forecasting policy to reduce the spread of COVID-19, and in general, of any outbreaks. The book presents fractal and multifractal models of COVID-19 and reviews the impact of the pandemic including epidemiology, genome organization, transmission cycle, and control strategies based on mathematical models towards developing an immune intervention. Also, it covers non-clinical aspects such as economic development with graphical illustrations, meeting the needs of onlookers outside the sector who desire additional information on the epidemic. The fractal signatures describe the fractal textures in the patterns of Corona virus. Studies on the epidemiology of Covid-19 in relation with the fractals and fractal functions serve to exhibit its irregular chaotic nature. Moreover, the book with its wide coverage on the Hurst exponent analysis and the fractal dimension estimation, greatly aids in measuring the epidemiology.$

جزئیات و درخواست

By Santo Banerjee, A. Gowrisankar
Publisher: CRC Press, 2023-12-01
Pages: 268
Language: en
ISBN_13:9781003822639
ISBN_10:1003822630
Subject: Science

Fractal Patterns with MATLAB

$This book presents the iterative beauty of fractals and fractal functions graphically with the aid of MATLAB programming. The fractal images generated using the MATLAB codes provide visual delight and highly encourage the fractal lovers for creative thinking. The book compiles five cutting-edge research chapters, each with state-of-the art fractal illustrations. It starts with the fundamental theory for the construction of fractal sets via the deterministic iteration algorithm. Incorporating the theoretical base, fractal illustrations of elementary fractal sets are provided with the explicit MATLAB code. The book gives examples of MATLAB codes to present the fractal surfaces. This book is contributed to all the research beginners as well as the professionals on the field of fractal analysis. As it covers basic fractals like Sierpinski triangle to advanced fractal functions with explicit MATLAB code, the presented fractal illustrations hopefully benefit even the non-field readers. The book is a useful course to all the research beginners on the fractal and fractal-related fields.$

جزئیات و درخواست

By Santo Banerjee, A. Gowrisankar, Komandla Mahipal Reddy
Publisher: Springer Nature, 2024-01-01
Pages: 96
Language: en
ISBN_13:9783031481024
ISBN_10:303148102X
Subject: Mathematics

Fractal Functions, Dimensions and Signal Analysis

$This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.$

جزئیات و درخواست

By Santo Banerjee, D. Easwaramoorthy, A. Gowrisankar
Publisher: Springer Nature, 2020-12-14
Pages: 132
Language: en
ISBN_13:9783030626723
ISBN_10:3030626725
Subject: Science

Frontiers of Fractal Analysis

Recent Advances and Challenges

$The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.$

جزئیات و درخواست

By Santo Banerjee, A. Gowrisankar
Publisher: CRC Press, 2022-07-07
Pages: 182
Language: en
ISBN_13:9781000625875
ISBN_10:1000625877
Subject: Mathematics

The Chemistry of Diamondoids

Building Blocks for Ligands, Catalysts, Pharmaceuticals, and...

جزئیات و درخواست

By Peter R. Schreiner, Marina Sekutor, Andrey A. Fokin
Publisher: John Wiley & Sons, 2024-06-17
Pages: 373
Language: en
ISBN_13:9783527343911
ISBN_10:3527343911
Subject: Technology & Engineering

Applied Analysis, Optimization and Soft Computing

ICNAAO-2021, Varanasi, India, December 21–23

$This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21–23 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.$

جزئیات و درخواست

By Tanmoy Som, Debdas Ghosh, Oscar Castillo, Adrian Petrusel, Dayaram Sahu
Publisher: Springer Nature, 2023-06-10
Pages: 425
Language: en
ISBN_13:9789819905973
ISBN_10:9819905974
Subject: Mathematics

Ligand Platforms in Homogenous Catalytic Reactions with Metals

Practice and Applications for Green Organic Transformations

جزئیات و درخواست

By Ryohei Yamaguchi, Ken-ichi Fujita
Publisher: John Wiley & Sons, 2014-10-15
Pages: 358
Language: en
ISBN_13:9781118943090
ISBN_10:1118943090
Subject: Technology & Engineering

Intelligent Virtual Agents

15th International Conference, IVA 2015, Delft, The Netherla...

جزئیات و درخواست

By Willem-Paul Brinkman, Joost Broekens, Dirk Heylen
Publisher: Springer, 2015-07-31
Pages: 499
Language: en
ISBN_13:9783319219967
ISBN_10:3319219960
Subject: Computers

Fractals, Wavelets, and their Applications

Contributions from the International Conference and Workshop...

$Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of fractals, self similarity, iterated function systems, wavelets and the applications of both fractals and wavelets. This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets.$

جزئیات و درخواست

By Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan
Publisher: Springer, 2014-09-27
Pages: 508
Language: en
ISBN_13:9783319081052
ISBN_10:3319081055
Subject: Mathematics

Advances in Algebra and Analysis

International Conference on Advances in Mathematical Science...

جزئیات و درخواست

By V. Madhu, A. Manimaran, D. Easwaramoorthy, D. Kalpanapriya, M. Mubashir Unnissa
Publisher: Springer, 2019-01-23
Pages: 485
Language: en
ISBN_13:9783030011208
ISBN_10:3030011208
Subject: Mathematics

Applied Fractional Calculus in Identification and Control

$The book investigates the fractional calculus-based approaches and their benefits to adopting in complex real-time areas. Another objective is to provide initial solutions for new areas where fractional theory has yet to verify the expertise. The book focuses on the latest scientific interest and illustrates the basic idea of general fractional calculus with MATLAB codes. This book is ideal for researchers working on fractional calculus theory both in simulation and hardware. Researchers from academia and industry working or starting research in applied fractional calculus methods will find the book most useful. The scope of this book covers most of the theoretical and practical studies on linear and nonlinear systems using fractional-order integro-differential operators.$

جزئیات و درخواست

By Utkal Mehta, Kishore Bingi, Sahaj Saxena
Publisher: Springer Nature, 2022-09-10
Pages: 212
Language: en
ISBN_13:9789811935015
ISBN_10:9811935017
Subject: Technology & Engineering

Nanostructured Materials for Supercapacitors

جزئیات و درخواست

By Sabu Thomas, Amadou Belal Gueye, Ram K. Gupta
Publisher: Springer Nature, 2022-05-19
Pages: 642
Language: en
ISBN_13:9783030993023
ISBN_10:3030993027
Subject: Technology & Engineering

Dynamical Systems and Nonlinear Waves in Plasmas

جزئیات و درخواست

By Santo Banerjee, Asit Saha
Publisher: CRC Press, 2021-09-10
Pages: 207
Language: en
ISBN_13:9781000404760
ISBN_10:1000404765
Subject: Science

Nonlinear Dynamics and Applications

Proceedings of the ICNDA 2022

$This book covers recent trends and applications of nonlinear dynamics in various branches of society, science, and engineering. The selected peer-reviewed contributions were presented at the International Conference on Nonlinear Dynamics and Applications (ICNDA 2022) at Sikkim Manipal Institute of Technology (SMIT) and cover a broad swath of topics ranging from chaos theory and fractals to quantum systems and the dynamics of the COVID-19 pandemic. Organized by the SMIT Department of Mathematics, this international conference offers an interdisciplinary stage for scientists, researchers, and inventors to present and discuss the latest innovations and trends in all possible areas of nonlinear dynamics.$

جزئیات و درخواست

By Santo Banerjee, Asit Saha
Publisher: Springer Nature, 2022-10-06
Pages: 1433
Language: en
ISBN_13:9783030997922
ISBN_10:3030997928
Subject: Science

Bioinformatics

Methods Express

جزئیات و درخواست

By Paul Dear
Publisher: Scion Publishing Ltd, 2007-09-24
Pages: 329
Language: en
ISBN_13:9781907904370
ISBN_10:1907904379
Subject: Science

Nanostructured, Functional, and Flexible Materials for Energy Conversion and Storage Systems

جزئیات و درخواست

By A. Pandikumar, Perumal Rameshkumar
Publisher: Elsevier, 2020-05-12
Pages: 544
Language: en
ISBN_13:9780128227695
ISBN_10:0128227699
Subject: Technology & Engineering

Applied Mathematics and Scientific Computing

International Conference on Advances in Mathematical Science...

جزئیات و درخواست

By B. Rushi Kumar, R. Sivaraj, B. S. R. V. Prasad, M. Nalliah, A. Subramanyam Reddy
Publisher: Springer, 2019-02-01
Pages: 632
Language: en
ISBN_13:9783030011239
ISBN_10:3030011232
Subject: Mathematics

The Forever Crisis

Adaptive Global Governance for an Era of Accelerating Comple...

جزئیات و درخواست

By Adam Day
Publisher: Taylor & Francis, 2024-08-01
Pages: 195
Language: en
ISBN_13:9781040106334
ISBN_10:1040106331
Subject: Political Science

Intelligent Virtual Agents

16th International Conference, IVA 2016, Los Angeles, CA, US...

جزئیات و درخواست

By David Traum, William Swartout, Peter Khooshabeh, Stefan Kopp, Stefan Scherer
Publisher: Springer, 2016-10-18
Pages: 521
Language: en
ISBN_13:9783319476650
ISBN_10:3319476653
Subject: Computers

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