Yes, you can stop the simulation at some point using Event functions. It would also allow to create Poincare sections. You need to set what happens at special points (pause or detect).
This is what you do from the GUI; for the command-line see p44 of the manual.
Create a separate matlab function in the main folder of MatCont, e.g. MyEvent.m;
function [res,term,dir]=MyEvent(t,y,varargin)
res=y(2); % Equation defining the section
isterminal=0; % 0=Do not stop
direction=1; % Detect All (0); increasing(1) or decreasing (-1)
Then select Type-Point; Curve-Orbit, next in the Integrator-window there is an entry Eventfunction. Type "MyEvent" there and press forward.
From: Ahmed Yagoub Elnour badaweena@users.sourceforge.net
Sent: Saturday, June 27, 2020 1:53 AM
To: [matcont:discussion]
Subject: [matcont:discussion] Poincare section
Hello there!
I'm using Matcont 7p2 in Matlab 2019b.
I was just wondering is it possible to get a Poincare bifurcation diagram (figure attached), i.e: is it possible to get such graph either with MatCont or MatContM.
I have checked the four Tutorials and the documentation for MatContM and was wondering if I could use it to
Note: In the figure; x -axis is the bifurcation parameter and y-axis is the state variable
Hello there!
How to plot Poincare bifurcatio diagram with Matcont
Regards
Last edit: Ahmed Yagoub Elnour 2020-06-28
I am copying from an older post;
Yes, you can stop the simulation at some point using Event functions. It would also allow to create Poincare sections. You need to set what happens at special points (pause or detect).
This is what you do from the GUI; for the command-line see p44 of the manual.
Create a separate matlab function in the main folder of MatCont, e.g. MyEvent.m;
function [res,term,dir]=MyEvent(t,y,varargin)
res=y(2); % Equation defining the section
isterminal=0; % 0=Do not stop
direction=1; % Detect All (0); increasing(1) or decreasing (-1)
Then select Type-Point; Curve-Orbit, next in the Integrator-window there is an entry Eventfunction. Type "MyEvent" there and press forward.
From: Ahmed Yagoub Elnour badaweena@users.sourceforge.net
Sent: Saturday, June 27, 2020 1:53 AM
To: [matcont:discussion]
Subject: [matcont:discussion] Poincare section
Hello there!
I'm using Matcont 7p2 in Matlab 2019b.
I was just wondering is it possible to get a Poincare bifurcation diagram (figure attached), i.e: is it possible to get such graph either with MatCont or MatContM.
I have checked the four Tutorials and the documentation for MatContM and was wondering if I could use it to
Note: In the figure; x -axis is the bifurcation parameter and y-axis is the state variable
Thanks and Regards.
Ahmed Elnour
Poincare section
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