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E-raamat: 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)

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  • Formaat: EPUB+DRM
  • Sari: Springer Proceedings in Physics 397
  • Ilmumisaeg: 07-Mar-2025
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783031586415
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  • Formaat: EPUB+DRM
  • Sari: Springer Proceedings in Physics 397
  • Ilmumisaeg: 07-Mar-2025
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783031586415

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This book presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems2023 (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.
A comparison of linear fractal interpolants in data fitting problems.-
Affine Fractal Interpolation Functions for Seismic Data Reconstruction.-
Approximation of Chaotic Signals using Quadratic and Cubic Fractal
Interpolation Functions.- Exploring Fractal Patterns with R.- Alternated
L-system Fractals.- Foundations and applications of mutual multifractal
analysis: A review.- On the relative vectorial multifractal analysis of
fractal measures.- Analyzing the Multifractality of River Stage Records for
Three South Indian River basins using Detrended fluctuation Principles.-
Fractal Nambu Mechanics: Extending Dynamics with Fractal Calculus.- An
appraisal on the fractal dimension of a neoteric continuous function of
unbounded variation and its (k,s)-Riemann-Liouville fractional integral.- An
Approximation Technique for Fractional-order Dynamical Systems of Complex
Orders.- Solving Delay Differential Equations in Dynamical Systems Using
Galerkin Weighted Residual Method and its Residual Error Correction with
Various Polynomials.- MHD Casson Stream and Thermal Characteristics in a
Semi-Permeable Channel with Cu-H2O Nanofluid.- Dynamics and bifurcation
analysis of a Crowley-Martin Eco-epidemiological model with prey refuge and
impact of fear.- Bifurcation and optimal control analysis of fractal
fractional order Soil-plant interaction model.- Chebyshev Collocation Method
for Pantograph Delay Differential Equations with Linear Functional
Arguments.- An outlook on switched coupled fractional differential system of
-Hilfer type with multipoint integral boundary conditions.- Finite-Time
Stability and Finite-Time Contractive Stability for Fractional-Order Neural
Networks with Impulsive Adaptive Control.- Numerical Solution of
Pantograph-type Delay Differential Equation in Fuzzy form using Hermite
Wavelet Technique.- Crank-Nicolson scheme for singularly perturbed delay
differential equation with a discontinuous source term.- Neural Network in
Elliptic Curve Cryptography.- Forecasting Water Quality Index in Gurugram
city, Haryana, India with Artificial Neural Networks and Multiple Linear
Regression.- Path Following for A Mobile Robot Based on A Custom Convolution
Neural Network.- Energy Prediction and Optimizing Model for Smart Home with
Parallel Machine Learning Techniques.- Breast Cancer Classification Using
Histopathological Images.- Ensemble feature selection using Dual Hesitant
fuzzy Einstein aggregation operators.- Ensemble feature selection : A rank
aggregation technique using Bonferroni Logarithmic induced ordered weighted
averaging operator.- A New Numerical Algorithm to Compute a Root of
Non-linear Equations using Exponential Method.- A Branch and Bound Algorithm
to Solve Travelling Salesman Problem with Interval Valued Intuitionistic
Fuzzy Parameters.- IMPACT OF FEAR ON CROWLEY-MARTIN ECO-EPIDEMIOLOGICAL MODEL
WITH HARVESTING.- Solving Fuzzy Fractional HIV Model Using Fuzzy Fractional
Fourth Order Runge-Kutta Method on Centroidal Mean.- Fixed point and common
fixed point results on double controlled metric type space with a A
contraction.- Some Convergence Results for CUIA Iterative Scheme in Partially
Ordered Hyperbolic Metric Spaces.- Best proximity point theorems in
topological vector spaces.- Locally contractive conditions involving control
functions in bi-complex valued metric spaces.- Coupled fixed point theorems
in orthogonal sets.- Study of NV center based bulk diamond with different
vibrational planes of dipole emitter.- Tuning the Electromagnetically Induced
Transparency in Three Level and Four Level Atomic Systems.- Modeling
Gravitational Potential of a Uniform Solid  Cylinder at any Point Outside the
Mass.- Bifurcation of ion-acoustic waves in Venus lower ionosphere.-
Teaching and Learning of Fractional-order Circuits in Advanced Electrical
Circuit Analysis Laboratory.