Plot trajectories of coupled nonlinear oscillator

Dear all. The problem is given by the attachment. I am studying coupled oscillator, l do not know what code to use in order to simulate the trajectories as shown in the figure2. Could you show me how l can produce the same plot as shown in the figure 2? what command should l use?

[Chen]

Hello, I have also recently been working on coupled nonlinear oscillators, which book is these captures from

Answer 1

[Bjorn Gustavsson]

Have a look at the search-results for: coupled nonlinear oscillator

HTH

[Penglin Cai]

The Kuramoto model is very difficult while my question is relative easy. Could you show me how l can plot the trajectories regarding my problem?

[Bjorn Gustavsson]

The model you have been asked to model looks rather similar to the Kuramoto model. The interactions in your model is much simpler in the sense that only a couple of the oscillators are directly coupled, but otherwise the problem seems pretty much identical. Therefore I thought that you should take a look at how those models and how one would go about to model them and figure out what to change to your proble. Then after making some effeor, if you were to run into some specific problem you could ask about that. Since you now ask about how to plot the specific trajectories I again have to refer to the links I provided - since the plotting-step is exactly identical to what others have done.