File:Time series graph of Ueda attractor.svg

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Description
English: Time series graph of 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).
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

clear;

//Parameters
k = 0.1;
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
Tin = 0;
Tout = 160;
Tstep = 0.01;
t = Tin:Tstep:Tout;

// The initial values
x0 = 3;
y0 = 0.1;
X0 = [x0; y0];

X = ode(X0,0,t,DUFF);

scf;plot(t(:), X(1,:))
xlabel('t')
ylabel('x')

scf;plot(t(:), X(2,:))
xlabel('t')
ylabel('y')

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Date/TimeThumbnailDimensionsUserComment
current12:07, 1 September 2021Thumbnail for version as of 12:07, 1 September 2021670 × 485 (558 KB)Yapparina (talk | contribs)Uploaded own work with UploadWizard

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