Fractal Course Simulation Programs

During my fractal course studies, I developed and utilized several simulation programs, including implementations for Mandelbrot sets, LOGISTIC maps, Rossler attractors, and Lorenz systems. These programs employed numerical computation algorithms to generate fractal visualizations, helping me better understand fractal concepts through practical visual demonstrations. The Mandelbrot implementation used complex number iterations with escape-time algorithms, while the chaotic systems (LOGISTIC, Rossler, Lorenz) involved solving differential equations using numerical methods like Runge-Kutta integration. Through coding and modifying these programs, I enhanced my programming skills in mathematical computation and data visualization. During collaborative sessions with classmates, we discussed the applications and significance of fractals, particularly analyzing how parameter variations affect system behavior in chaotic attractors, which deepened my understanding of nonlinear dynamics and fractal geometry.