Solve an differential equations system
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Jorge Herrera
le 19 Oct 2015
Réponse apportée : Jorge Herrera
le 27 Oct 2015
Hi all I have been trying to reproduce some waveforms, but I cant, I don't know if I need some other complex methods, I had tried with some ODE's as well as with the function dsolve, but I couldn't get it.
I've thinking that may be only I need some adjust in my code or another thing...
Really, I hope you can help me :(
This is my code:
clear all
clc
close all
%constants
a=(5400*10^-3);
b=30;
z=0.008;
%z=-0.023;
%z=0.034;
c=0.00017;
d=0.001;
e=0.01;
h=0.1;
q=0.024;
r=0.088;
s=0.046;
f=@(t,x)[(-5400*10^-3)*((0.00017*x(1)^3+0.001*x(1)^2+0.01*x(1)+0.1)-x(2)-0.008);30*((0.00017*x(1)^3+0.001*x(1)^2+0.01*x(1)+0.1)-(0.024*exp(0.088*x(1))+0.046)-x(2))];
% tspan=[-0.04 0.04];
x0=[0 0];
[X,Y]=ode45(f,(tspan),[a*z,0]);
figure
plot(Y)
figure
plot(Y(:,1),Y(:,2),'-')
And I need get the wave forms of the images, where fig 2 is the system solution and the Fig. 3 is a cicle of the biffurcation, I hope you can help me what I can do with ode45? I need an adjust? Or try with other functions?. I have attempted to solve with ode45, ode15, rungekutta, euler, etc.


Thank's.
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