File:Vector field and trajectories of a simple limit cycle.svg
Original file (SVG file, nominally 700 × 700 pixels, file size: 505 KB)
Captions
Summary[edit]
DescriptionVector field and trajectories of a simple limit cycle.svg |
English: The vector field and some trajectories of the system:
This system of differential equations can be converted to polar coordinates r and θ as follows: |
Date | |
Source | Own work |
Author | Yapparina |
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;
clf;
function dX = LC(t,X) //X(1):x, X(2):y
dX=zeros(2,1);
dX(1) = X(1) - X(2) - X(1)*(X(1)^2 + X(2)^2);
dX(2) = X(1) + X(2) - X(2)*(X(1)^2 + X(2)^2);
endfunction
xc=-8:0.2:8;
yc=-8:0.2:8;
fchamp(LC,0,xc,yc,1)
T = linspace(0,10,300);
x01 = [2 ; 1];
x1 = ode(x01,0,T,LC);
x02 = [-2 ; 2];
x2 = ode(x02,0,T,LC);
x03 = [-1 ; -2];
x3 = ode(x03,0,T,LC);
x04 = [0 ; 0.6];
x4 = ode(x04,0,T,LC);
x05 = [0.2 ; -0.3];
x5 = ode(x05,0,T,LC);
x06 = [-0.1 ; 0.1];
x6 = ode(x06,0,T,LC);
plot(x1(1,:),x1(2,:),x2(1,:),x2(2,:),x3(1,:),x3(2,:),x4(1,:),x4(2,:),x5(1,:),x5(2,:),x6(1,:),x6(2,:));
ZM=2
zoom_rect([-1*ZM,-1*ZM,ZM,ZM])
xlabel('x');
ylabel('y');
gh=gca();
gh.font_style=2;
gh.font_size=6;
gh.x_label.font_style=3;
gh.x_label.font_size=7;
gh.y_label.font_style=3;
gh.y_label.font_size=7;
Licensing[edit]
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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 08:22, 20 May 2018 | 700 × 700 (505 KB) | Yapparina (talk | contribs) | User created page with UploadWizard |
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- Usage on ja.wikipedia.org
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Width | 700 |
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Height | 700 |