Is there any way to calculate how much updates should be made to reach desired frame rate, NOT system specific?
No.
There is no way to precisely calculate how many updates should be called to reach desired framerate.
However, you can measure how much time has passed since last frame, calculate current framerate according to it, compare it with desired framerate, then introduce a bit of Sleeping to reduce current framerate to the desired value. Not a precise solution, but it will work.
I found that for windows, but I would like to know if something like this exists in openGL itself. It should be some sort of timer.
OpenGL is concerned only about rendering stuff, and has nothing to do with timers. Also, using windows timers isn't a good idea. Use QueryPerformanceCounter, GetTickCount or SDL_GetTicks to measure how much time has passed, and sleep to reach desired framerate.
Or how else can I prevent FPS to drop or raise dramatically?
You prevent FPS from raising by sleeping.
As for preventing FPS from dropping...
It is insanely broad topic. Let's see. It goes something like this: use Vertex buffer objects or display lists, profile application, do not use insanely big textures, do not use too much alpha-blending, avoid "RAW" OpenGL (glVertex3f), do not render invisible objects (even if no polygons are being drawn, processing them takes time), consider learning about BSPs or OCTrees for rendering complex scenes, in parametric surfaces and curves, do not needlessly use too many primitives (if you'll render a circle using one million polygons, nobody will notice the difference), disable vsync. In short - reduce to absolute possible minimum number of rendering calls, number of rendered polygons, number of rendered pixels, number of texels read, read every available performance documentation from NVidia, and you should get a performance boost.