nonlinear ordinary differntial equations

i have three nonlinear oscillator equation

1 ) dx/dt = (mu-x^2-y^2)x - w*y +K*F

2) dy/dt = (mu-x^2-y^2)y + w*x

3) dw/dt = -K*F (y/(sqrt(x^2+y^2)))

here,

F is any input signal

K is coupling strength (K > 0 is any value)

w is oscillator intrinsic frequency

mu is constant (mu > 0 any value)

dw/dt is learning rule for intrinsic frequency (as it learn frequency of input signal F)

x and y are state variables

how could i implement it in MATLAB ?

Answer 1

[Shashank Prasanna]

Start with ODE45, take a look at this example and it will help you get started:

http://www.mathworks.com/help/matlab/math/ordinary-differential-equations.html#f1-40077