File:Strange attractor of van der Pol and Duffing mixed type equation.svg

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Description
English: Strange attractor of the van der Pol and Duffing mixed type equation
with the parameters μ = 0.2, γ = 8, B = 0.35, ν = 1.02.
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.

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clear;

//Parameters
mu = 0.2;
B = 0.35;
gamma = 8;
nu = 1.02

// van der Pol and Duffing mixed type equation, x=x(1), y=x(2)
function dx = POLDUFF(t,x)
  dx(1) = x(2);
  dx(2) = mu * (1 - gamma * x(1)^2 ) * x(2)  - x(1)^3 + B * cos(nu * t); 
endfunction

// The time range and step for calculation
Tout = 900;
Tstep = 0.01;
t = 0:Tstep:Tout;

// The initial values
x0 = 0.5;
y0 = 0.5;
X0 = [x0; y0];

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

Tin = 5000;
Tmax = Tout/Tstep;

clf;
plot(X(1, [Tin : Tmax]), X(2, [Tin : Tmax]))
xlabel('x')
ylabel('y')

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Date/TimeThumbnailDimensionsUserComment
current12:25, 31 August 2021Thumbnail for version as of 12:25, 31 August 2021610 × 475 (1.26 MB)Yapparina (talk | contribs)Reduced the plotted curve.
10:42, 31 August 2021Thumbnail for version as of 10:42, 31 August 2021500 × 410 (1.4 MB)Yapparina (talk | contribs)Uploaded own work with UploadWizard

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