can i use more than 1 function in same m. file ? because i want to use multiple function for adapting frequency

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i want to simulate using multiple oscillators.
following figure is showing what i want to do ..
the following code is having only one oscillator. I want to simulate using 2 or more oscillators. anyone is having idea how to do simulate with multiple oscillator ?
adaptive hopf oscillator function (instead of 1 i want to use 2 same function)
function dz = myeqd(t,y,ti,xd)
dz = zeros(3,1);
r= sqrt(y(1)^2 + y(2)^2);
dz(1)= (mu - r^2)*y(1) - y(3)*y(2) +K*F;
dz(2) = (mu - r^2)*y(2) + y(3)*y(1);
dz(3) = (-K*F) * (y(2)/sqrt(y(1)^2 + y(2)^2));
main code
Tspan= 0:0.001:20; % time vector
fi = chirp(Tspan,f0,20,f1,'quadratic');
[T,Y]=ode45(@(t,y) myeqd1(t,y,ti,fi),Tspan,[1;1;90]);
plot (T,Y(:,3));
ChristianW on 10 Feb 2013
Edited: ChristianW on 11 Feb 2013
Just curious, why not use 1 ODE y' = f(t,y) with all states in statevector y?
% Osci#1
mu = 0.2; K = 100;
r = sqrt(y(1)^2 + y(2)^2);
dz(1) = (mu - r^2)*y(1) - y(3)*y(2) +K*F;
dz(2) = (mu - r^2)*y(2) + y(3)*y(1);
dz(3) = (-K*F) * (y(2)/r);
% Osci#2
mu2 = 0.2; K2 = 100;
r2 = sqrt(y(4)^2 + y(5)^2);
dz(4) = (mu2 - r2^2)*y(4) - y(6)*y(5) +K2*F;
dz(5) = (mu2 - r2^2)*y(5) + y(6)*y(4);
dz(6) = (-K2*F) * (y(5)/r2);
Aniket on 10 Feb 2013
Actually i am searching a way how to do it ... if you are suggesting me this i will try this one..

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Accepted Answer

ChristianW on 11 Feb 2013
  1. The attempt having myeqd1, myeqd2, myeqd3, ... and then solve them with ode45(myeqd1,...); ode45(myeqd2,...); ... etc is bad in general.
  2. At your figure the oscillators are connected. If they influence each other, you need all oscillators in one ODE.
  3. Whats the difference between Osci#1 and #2? Only mu and K?
  4. My example above only shows that possibility. If you try it, you should still use "multiple functions":
function dy = myeqd(t,y,ti,xd)
dy = zeros(size(y));
F = interp1(ti,xd,t);
dy(1:3) = Osci(y(1:3),F,0.2,100); % Osci#1, Osci(y,F,mu,K)
dy(4:6) = Osci(y(4:6),F,0.1,120); % Osci#2
function dz = Osci(z,F,mu,K)
r = sqrt(z(1)^2 + z(2)^2);
dz = [ (mu - r^2)*z(1) - z(3)*z(2) + K*F
(mu - r^2)*z(2) + z(3)*z(1)
-K*F * z(2)/r ];
Aniket on 11 Feb 2013
hello Christian,
I have add feedback but results are becoming zeros i don't why ? you have any idea ? i am plotting output by using summation "sum_out = Y(:,3)+Y(:,6)"
if i am adding feedback , i am getting following curve ,its not adapting
function dz = myeqd(t,y,ti,xx)
dz = zeros(6,1);
mu = 0.3;
r= sqrt(y(1)^2 + y(2)^2);
K2 = 500;
dz(1)= (mu - r^2)*y(1) - y(3)*y(2) +K1.*F;
dz(2) = (mu - r^2)*y(2) + y(3)*y(1);
dz(3) = (-K1.*F) * (y(2)/sqrt(y(1)^2 + y(2)^2));
dz(4)= (mu - r^2)*y(4) - y(6)*y(5) +K2.*F;
dz(5) = (mu- r^2)*y(5) + y(6)*y(4);
dz(6) = (-K2.*F) * (y(5)/sqrt(y(4)^2 + y(5)^2));
main code
time = 0:0.001:20;
xx = chirp(time,100,10,400,'linear');
[T,Y]=ode45(@(t,y) myeqd(t,y,ti,xx),time,[5;5;90;5;5;90]);
sum_out = Y(:,3)+Y(:,6);
plot (T,sum_out)

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More Answers (1)

Walter Roberson
Walter Roberson on 10 Feb 2013
Yes, it is quite valid to have more than one function in a .m file.
Only the first of the functions (the one the file is named with) will be directly callable from outside the .m file; other .m files would need to somehow have been given a function handle before they could call the other functions.
In your situation where you are passing in an anonymous function, that is sufficient for ode45 to get the function handle to be able to call the function referred to in the anonymous function.
Aniket on 10 Feb 2013
I have tried more than one function in single m.file but it gives me error. Ok, I want to create a group of oscillator function like in the above figure mentioned , so that external input frequency i can adapt and i can call these group of funtion from my main m.file. how should i crate it in matlab ?

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