Formulate some examples using ModelingToolkit

[finmod]

For better visibility and integration of BifurcationKit with SciML, some examples, in particular DAE and PDE, should be formulated using MTK with its automatic Jc features.

Also, BifurcationKit should have better visibility in the SciML ecosystem.

[rveltz]

Do you have an example in mind? ODE, DAE, PDE?

[finmod]

I suggest to ask @ChrisRackauckas. Two hints: https://si.sciml.ai/dev/tutorials/using_modeling_toolkit/ and the README example of https://github.com/SciML/ModelingToolkit.jl .