How to plot the graph using MATLAB?
I've got the function $f_{i}(\phi) = \gamma_{i}+\sin(2\cdot \sin \phi)$ for $i = 1,2$ where $\gamma_1=0.01$ and $\gamma_2=0.02$
$\phi_{1}(0) = 0.1$ and $\phi_{2}(0) = 0.2$
$\dot{\phi_1} = f_1(\phi)+d\cdot \sin(\phi_2-\phi_1)$
$\dot{\phi_2} = f_2(\phi)+d\cdot \sin(\phi_1-\phi_2)$
where $d = 0.1$.
So there should be something for example the following table:
t | ϕ1 | ϕ2
0.00 | 0.1 |0.2
0.01 | ... |...
0.02 | ... |...
...
100.00| ... | ...
And so using the received values it's needed to plot a graph by the coordinates
So the question is how to plot the function $\phi_2(\phi_1)$ on the the following graph using MATLAB?
Solve instead
$$ \phi_1'(\phi_2) = \frac{f_1(\phi_1(\phi_2))+d\sin(\phi_1(\phi_2)-\phi_2)}{f_2(\phi_2)-d\sin(\phi_1(\phi_2)-\phi_2)} $$
with initial conditions $\phi_1(0.2)=0.1$