File:Attracting homoclinic orbit and vector field.png

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Attracting_homoclinic_orbit_and_vector_field.png ‎(491 × 367 pixels, file size: 38 KB, MIME type: image/png)

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English: Attracting homoclinic orbit and vector field of the following 2-dimensional differential equation.
Reference: Morris W. Hirsch; Stephen Smale; Robert L. Devaney; 桐木 紳・三波 篤朗・谷川 清隆・辻井 正人 (translators). (2007) 力学系入門　原著第2版 ―微分方程式からカオスまで― (初版 ed.), 共立出版, pp. 231–232 ISBN: 978-4-320-01847-1.
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(2) - ( X(1)^4/4 - X(1)^2/2 + X(2)^2/2 ) * (X(1)^3 - X(1)) ; 
  dX(2) =  X(1)^3 - X(1) - ( X(1)^4/4 - X(1)^2/2 + X(2)^2/2 ) * X(2) ; 
endfunction

xc = -2 : 0.2 : 2;
yc = -2 : 0.2 : 2;

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

T = linspace(0,500,100000);
x01 = [1.5 ; 1];
x1 = ode(x01,0,T,LC);
x02 = [-1.5 ; -1];
x2 = ode(x02,0,T,LC);
plot(x1(1,:),x1(2,:), x2(1,:),x2(2,:));

zoom_rect([-1.8, -1.4, 1.8, 1.4])

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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current04:03, 20 May 2023Thumbnail for version as of 04:03, 20 May 2023491 × 367 (38 KB)Yapparina (talk | contribs)Uploaded own work with UploadWizard

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