Borrar filtros
Borrar filtros

How to plot an oscillator?

7 visualizaciones (últimos 30 días)
Haya Ali
Haya Ali el 12 de En. de 2023
Comentada: Haya Ali el 12 de En. de 2023
I want to plot the equations given below. Which is generally of an 3 coupled oscillators. Can anyone please tell me if I am plotting it correctly or not? Below is my code
close all; clear all; clc;
%value of constants
a1=0.2;a2=0.3;a3=0.3;
omega1=5;omega2=4;omega3=5;
G=1;C12=0.01;C13=0.02;C21=0.03;C23=0.04;C31=0.05;C32=0.06;
dt=0.01; %step size
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x1(1)=0.5;
y1(1)=0.5;
x2(1)=0.5;
y2(1)=0.5;
x3(1)=0.5;
y3(1)=0.5;
for i=2:1000
%Oscillator 1
x1(i) = x1(i-1) + ( a1*x1(i-1) - omega1*y1(i-1) + G*C12*( x2(i-1) - x1(i-1) ) + G*C13*( x3(i-1) - x1(i-1) ) )*dt;
y1(i) = y1(i-1) + ( a1*y1(i-1) + omega1*x1(i-1) + G*C12*( y2(i-1) - y1(i-1) ) + G*C13*( y3(i-1) - y1(i-1) ) )*dt;
%Oscillator 2
x2(i) = x2(i-1) + ( a2*x2(i-1) - omega2*y2(i-1) + G*C21*( x1(i-1) - x2(i-1) ) + G*C23*( x3(i-1) - x2(i-1) ) )*dt;
y2(i) = y2(i-1) + ( a2*y2(i-1) + omega2*x2(i-1) + G*C21*( y1(i-1) - y2(i-1) ) + G*C23*( y3(i-1) - y2(i-1) ) )*dt;
%Oscillator 3
x3(i) = x3(i-1) + ( a3*x3(i-1) - omega3*y3(i-1) + G*C31*( x1(i-1) - x3(i-1) ) + G*C32*( x2(i-1) - x3(i-1) ) )*dt;
y3(i) = y3(i-1) + ( a3*y3(i-1) + omega3*x3(i-1) + G*C31*( y1(i-1) - y3(i-1) ) + G*C32*( y2(i-1) - y3(i-1) ) )*dt;
end
plot (x1)
hold on
plot (x2)
plot (x3)

Respuesta aceptada

Stephan
Stephan el 12 de En. de 2023
You can plot it 2 ways - i dont know what is "correct" for your case... For me both are correct - depending on what you want to see:
%value of constants
a1=0.2;a2=0.3;a3=0.3;
omega1=5;omega2=4;omega3=5;
G=1;C12=0.01;C13=0.02;C21=0.03;C23=0.04;C31=0.05;C32=0.06;
dt=0.01; %step size
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x1(1)=0.5;
y1(1)=0.5;
x2(1)=0.5;
y2(1)=0.5;
x3(1)=0.5;
y3(1)=0.5;
for i=2:1000
%Oscillator 1
x1(i) = x1(i-1) + ( a1*x1(i-1) - omega1*y1(i-1) + G*C12*( x2(i-1) - x1(i-1) ) + G*C13*( x3(i-1) - x1(i-1) ) )*dt;
y1(i) = y1(i-1) + ( a1*y1(i-1) + omega1*x1(i-1) + G*C12*( y2(i-1) - y1(i-1) ) + G*C13*( y3(i-1) - y1(i-1) ) )*dt;
%Oscillator 2
x2(i) = x2(i-1) + ( a2*x2(i-1) - omega2*y2(i-1) + G*C21*( x1(i-1) - x2(i-1) ) + G*C23*( x3(i-1) - x2(i-1) ) )*dt;
y2(i) = y2(i-1) + ( a2*y2(i-1) + omega2*x2(i-1) + G*C21*( y1(i-1) - y2(i-1) ) + G*C23*( y3(i-1) - y2(i-1) ) )*dt;
%Oscillator 3
x3(i) = x3(i-1) + ( a3*x3(i-1) - omega3*y3(i-1) + G*C31*( x1(i-1) - x3(i-1) ) + G*C32*( x2(i-1) - x3(i-1) ) )*dt;
y3(i) = y3(i-1) + ( a3*y3(i-1) + omega3*x3(i-1) + G*C31*( y1(i-1) - y3(i-1) ) + G*C32*( y2(i-1) - y3(i-1) ) )*dt;
end
figure(1)
plot (x1)
hold on
plot (x2)
plot (x3)
figure(2)
plot (x1,y1)
hold on
plot (x2,y2)
plot (x3,y3)

Más respuestas (0)

Categorías

Más información sobre Line Plots en Help Center y File Exchange.

Etiquetas

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by