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Introduction
F
RACTALS AND DYNAMIC
S
YSTEMS
Florent Gabon, Tino Kluge, Daniela Mancuso, Andreas Putz
Language and Learning Centre
University of Wales, Aberystwyth
December 5, 2000
Abstract:
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Introduction
Fractals in nature and applications
Theoretical Methods for Fractals and Dynamical Systems
The problem of length measuring
Bifurcations
The logistic Function
Examples of Fractals
The Mandelbrot set
Some properties of the Mandelbrot set
The Dynamic of the Mandelbrot-set
The Algorithm
Plots of the Mandelbrot set
Newton Iteration
The Method
Numerical Examples
Examples in Nature
Discrete System - Population Simulation
Mathematical Model
Numerical Simulation
Conclusion
Continuous System - Pendulum
Physical System
Numerical Results
References and Downloads
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Tino Kluge
2000-12-05
