Implement interactive 2D dynamical system clicker

[GabrielMajeri]

Closes #251 by implementing a new interactive_clicker function. It works similar to interactive_poincaresos, but for an arbitrary 2D dynamical system (e.g. ProjectedDynamicalSystems).

[GabrielMajeri]

The CI failure seems to be unrelated to the change.

When trying to run docs/make.jl locally, I run into the issue described here.

[Datseris]

thanks a lot for the PR!

[Datseris]

Shouldn't you check here that dimension(dds) == 2?

[GabrielMajeri]

No, because this function can be used with higher-dimensional dynamical systems, as long as the complete and project parameters are properly defined. Adding such a check would break the use of this in interactive_poincaresos.

[Datseris]

Sorry, to be clear: this works for any 2D system, right? This should be 2D maps, projected 2D systems, poincare maps, whatever. Right? If so, do we even need the interactive poincare map function anymore?

Additionally please rename this section to reflect the generality of the function.

[GabrielMajeri]

I've updated the docs.

If so, do we even need the interactive poincare map function anymore?

I don't know if we need it, but I think it's pretty useful (and one of the most common use cases, I believe). It would help from a backwards compatibility perspective to preserve the existing interactive_poincaresos API (even though now that function is now a wrapper for this one).

[Datseris]

Hi @GabrielMajeri , sorry that I took so long to return here. I am a bit confused. Is this application for discrete time systems, continuous, or both?

[GabrielMajeri]

Is this application for discrete time systems, continuous, or both?

It should work in principle with any kind of dynamical system, as long as its state space has/can be projected down to two dimensions.

I don't actually need this interactive_clicker method, I only needed to get the interactive_poincaresos method to work. But your idea of introducing this higher-level abstraction means that we can support both the existing interactive Poincare surface-of-section GUI and possibly a projected dynamical system interactive GUI (which I've included as an example in the docs). The code is written to be more generic.

[Datseris]

Thanks a lot for the contribution @GabrielMajeri . I've altered the design here a bit. I simplified a lot the 2D clicker function by making the poincare function creating the projected system internally. Now the 2D clicker doesn't really do anything fancy and doesn't project the system state. As long as someone plugs in something that is 2D, it works. It also handles differently continuous time systems.