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The forced Duffing oscillator exhibits behavior ranging from limit cycles to chaos due to its nonlinear dynamics. When the periodic force that drives the system is large, chaotic behavior emerges and the phase space diagram is a strange attractor. In that case the behavior of the system is sensitive to the initial condition. In order to plot a PoincardoTe section, take one data point from phase space per period of the driving force. The...



Codigo para representar el fractal helecho



FDSURFFT computes fractal dimension (slope) of surface image im and draw rose plots of slope and intercept.



Each file comes with its own set of algorithms for generating the fractal graphic.



It takes about 15 minutes to plot the entire fractal.



Julia set and Mandelbrot set ,the zip file contains two m files

1.juliaset3.m plots 16 different types of julia set
( 2000 x 2000 pixels)


2.fractal5.m plots Mandelbrot set (2000 x 2000 pixels )

the...



Wavelet discrete transform based on Haar wavelet serves as a link between wavelet technique of data compression and fractal technique based on the system of contractive linear transforms.



This code calculates the generalized Hurst exponent H(q) of a stochastic variable x(t) (a time series) from the scaling of the renormalized q-moments of the distribution



Program for generating curves (Bezier, Chaikin) in a fractal way. Moreover program can draw every shape described with help of Bezier or Chaikins curves. To run this program just type "curves" and main window appears.

More...



A function which plots the 'Koch curve' fractal.

Tested under MATLAB 5.3



% This function allow you to build 3D-fractal trees
% by using modified algorithms based on the so-called Kantor`s array
% and method of inverse trace
% These methods allow you to economise time and computer memory
%...



Genomic researchers are often interested in counts of the nucleotide base in a genetic sequence. The Bioinformatics Toolbox contains functions for counting sequences of length one and two, ie individual bases and dimers. But there is currently no...



Its based on the traditional box-counting method for finding the fractal dimension of an image. The code is just for beginners for getting an idea of how the box-counting is done.



The Lyapunov fractal is generated using logistics formula.
Three types of fractal are generated with this script.
The fractal is generated in 7 seconds.



Bifurcation diagram of the logistic map.



Random fractal curve (non-deterministic).



It creates fractal-like map plots from the simulation.

(See my other post titled "Dynamical Billiards Simulation" first!)

I had to keep image size and maxSteps small otherwise the calculation takes too long!



Levy Dragon Fractal Curve using Turtle graphics module of Python.



IFS fractal dimension calculation using box-counting method.



Mandelbrot fractal using Python Image Library (PIL).