Question: Solve-non linear equation

Hi everyone, seems I'm new here!

There is my first request:

I’m studying a chaotic system and I have trouble in modelling it:

I found equations by using Newton’s laws of motion, but I can’t solve them (with Maple).

This is the way I proceeded:

(please see the joint file)

Download 16984_Mod.mws
View file details

I first tried a resolution with the method of Laplace, but after a long computation, maple bugged. I then tried a numeric resolution, but it still doesn’t work.

Any help is welcome!!

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