MATLAB Programs for Generating Fractals and Chaos Patterns
This MATLAB program generates Julia sets and Mandelbrot sets with simple yet efficient operations, implementing complex mathematical algorithms for fractal visualization.
Chaos and Fractal Theory: An Emerging Financial Market Framework
Chaos and Fractal Theory represents a cutting-edge financial market framework. This repository provides routine implementations for chaos and fractal analysis, available for download. The code includes demonstrations of key algorithms such as Lyapunov exponent calculation, fractal dimension estimation, and phase space reconstruction for market data analysis.
Fractal Geometry - Generating a Beautiful Leaf Pattern
Creating a beautiful leaf using fractal geometry through iterative matrix transformations and continuous image regeneration
Iterated Function Systems (IFS) in Fractal and Chaos Theory
Implementation of Iterated Function Systems (IFS) in fractal and chaos theory using MATLAB, featuring algorithmic approaches for generating complex patterns through iterative transformations.
MATLAB Code Implementation for Fractals
Fractal algorithms including fractal-based image compression and reconstruction techniques with code implementation
Chaotic Time Series Analysis and Prediction Toolbox Version 1.2
Chaotic Time Series Analyzer - Attractor Reconstruction, Fractal Dimension Calculation, and Prediction Algorithms. A comprehensive MATLAB toolbox for analyzing and forecasting chaotic time series data using nonlinear dynamics methods.
Image Denoising Using Wavelet and Fractal Methods with Comparative Analysis
This study implements image denoising using wavelet and fractal methodologies, followed by a comprehensive comparison of their performance. The implementation includes practical code considerations for both approaches, evaluating noise reduction efficiency and detail preservation capabilities.
Dynamical Systems with Applications Using MATLAB: Code Implementation and Experimental Analysis
This classic textbook "Dynamical Systems with Applications using MATLAB" provides comprehensive coverage of dynamical nonlinear systems theory for both discrete and continuous systems (including fractals, chaos, and nonlinear systems). The accompanying code attachments correspond to each chapter, enabling readers to conduct experiments and generate visually striking images (such as fractals). These implementations span mechanical systems, chemical kinetics, electronic circuits, species interactions, economics, nonlinear optics, biology, neural networks, and materials science. The repository contains extensive source code with detailed algorithmic explanations and key function descriptions.
Simple and Effective MATLAB Programs for Fractals
Simple and effective MATLAB programs for generating fractals. The code is ready to run immediately upon opening, requiring no additional configuration.
MATLAB Demonstrations of Chaotic Models
MATLAB implementation and visualization of various chaotic systems including Rossler attractor, Lorenz system, Julia set, and Mandelbrot set