File:Attracting periodic orbit and vector field.png

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Attracting_periodic_orbit_and_vector_field.png (504 × 362 pixels, file size: 41 KB, MIME type: image/png)

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Description
English: An example of attracting periodic orbit and vector field of the following 2-dimensional differential equation.
Reference: Steven H. Strogatz; 田中 久陽・中尾 裕也・千葉 逸人 (translators). (2015) ストロガッツ　非線形ダイナミクスとカオス ―数学的基礎から物理・生物・化学・工学への応用まで―, 丸善出版, pp. 225–229 ISBN: 978-4-621-08580-6.
Date
Source Own work
Author Yapparina

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;
clf;

function dX = LC(t,X) //  X(1) = x,  X(2) = y
    dX=zeros(2,1);
  dX(1) =  - X(1) + 0.08*X(2) + X(1)^2 * X(2) ; 
  dX(2) =  0.6 - 0.08*X(2) - X(1)^2 * X(2) ;
endfunction

xc = -1 : 0.2 : 4;
yc = -1 : 0.2 : 4;

fchamp(LC,0,xc,yc,1)

T = linspace(0,500,100000);
x01 = [0 ; 2.5];
x1 = ode(x01,0,T,LC);
x02 = [0 ; 0];
x2 = ode(x02,0,T,LC);
plot(x1(1,:),x1(2,:),x2(1,:),x2(2,:));

zoom_rect([-0.4, -0.4, 2.8, 3.2])

xlabel('x');
ylabel('y');
gh=gca();
gh.font_style=2;
gh.font_size=5;
gh.x_label.font_style=3;
gh.x_label.font_size=6;
gh.y_label.font_style=3;
gh.y_label.font_size=6;

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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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Date/TimeThumbnailDimensionsUserComment
current04:04, 20 May 2023Thumbnail for version as of 04:04, 20 May 2023504 × 362 (41 KB)Yapparina (talk | contribs)Uploaded own work with UploadWizard

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