File:Japanese attractor on black background.png

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Original file ‎(993 × 1,690 pixels, file size: 84 KB, MIME type: image/png)

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Description
English: Strange attractor, aka Japanese attractor or Ueda attractor, obtained from the forced Duffing equation
with the parameters (k = 0.1, B = 12.0) and the initial condition (x = 3.0, y = 0.1). The plots were made by Runge–Kutta method (Scilab ODE solver) with time step 2π.
Date
Source Own work
Author Yapparina

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Scilab source

Scilab source
Scilab source
 This media was created with Scilab, a free open-source software.

Here is a listing of the Scilab source used to create this file. 

clear;

//Parameters
k = 0.10;
B = 12.0;

// Forced Duffing equation, x=x(1), y=x(2)
function dx = DUFF(t,x)
  dx(1) = x(2);
  dx(2) = - k * x(2)  - x(1)^3 + B * cos(t); 
endfunction

// The time range and step for calculation
NN = 10000;
Tmax = NN*2*%pi;
t = linspace(0, Tmax, NN+1);

// The initial values and ode solver
x0 = 3;
y0 = 0.1;
X0 = [x0; y0];
X1 = ode(X0,0,t,DUFF);

csvWrite(X1.', 'DUFF_XY.csv')
csvWrite(t.', 'DUFF_T.csv')

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Date/TimeThumbnailDimensionsUserComment
current04:14, 31 August 2021Thumbnail for version as of 04:14, 31 August 2021993 × 1,690 (84 KB)Yapparina (talk | contribs)Uploaded own work with UploadWizard

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