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  • Fractal Functions Communication with Fractional Calculus

    Series series Physics and Astronomy (R0)
    This book provides an in-depth examination of fractal functions, focusing on their self-similar structures and the relatively simple construction procedures that make them a subject of fascination in mathematics and engineering. By exploring fractal interpolation functions, the book sheds light on naturally occurring phenomena that exhibit irregularity and non-integer dimensions, offering a fresh ... Leer más

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  • Chaotic Dynamics of Fractional Discrete Time Systems

    The book reviews the application of discrete fractional operators in diverse fields such as biological and chemical reactions, as well as chaotic systems, demonstrating their applications in physics. The dynamical analysis is carried out using equilibrium points of the system for studying their stability properties and the chaotic behaviors are illustrated with the help of bifurcation diagrams and ... Leer más

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  • Fractal Signatures in the Dynamics of an Epidemiology

    An Analysis of COVID-19 Transmission

    Edición de Santo Banerjee, A. Gowrisankar ...
    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 ... Leer más

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  • Fractal Patterns with MATLAB

    Series series Mathematics and Statistics (R0)
    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 ... Leer más

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  • Dynamical Systems and Nonlinear Waves in Plasmas

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  • Nonlinear Dynamics and Applications

    Proceedings of the ICNDA 2022

    Edición de Santo Banerjee, Asit Saha ...
    Series series Springer Nature Proceedings excluding Computer Science
    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 ... Leer más

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  • Fractal Functions, Dimensions and Signal Analysis

    Series series Physics and Astronomy (R0)
    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 ... Leer más

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  • Frontiers of Fractal Analysis

    Recent Advances and Challenges

    Edición de Santo Banerjee, A. Gowrisankar ...
    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 ... Leer más

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  • Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 2

    Complex Systems, Fractals and Nonlinear Flows

    Edición de Asit Saha, Santo Banerjee ...
    Series series Springer Nature Proceedings excluding Computer Science
    This book covers the latest advancements and applications of nonlinear dynamics in various fields of science and engineering, presenting a curated selection of peer-reviewed contributions at the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) at Sikkim Manipal Institute of Technology (SMIT). Organized by the Department of Mathematics, SMIT, SMU, this international ... Leer más

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  • Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns

    Selected Proceedings of the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems—2023 (ISMAFDS-2023)

    Series series Springer Nature Proceedings excluding Computer Science
    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 ... Leer más

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  • Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 3

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    Edición de Asit Saha, Santo Banerjee ...
    Series series Springer Nature Proceedings excluding Computer Science
    This book covers the latest advancements and applications of nonlinear dynamics in various fields of science and engineering, presenting a curated selection of peer-reviewed contributions at the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) at Sikkim Manipal Institute of Technology (SMIT). Organized by the Department of Mathematics, SMIT, SMU, this international ... Leer más

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  • Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1

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    Edición de Asit Saha, Santo Banerjee ...
    Series series Springer Nature Proceedings excluding Computer Science
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