Why this cooking pot not working on my Induction?

Is it a steel pan ? Test with a magnet. (I think my cheap induction hob came with a cheap magnet thingy to test my pans)

"Cast iron, enameled cast iron, and many types of stainless-steel cookware are all induction compatible. There are exceptions, though. For instance, All-Clad's MC2 line, which is made of aluminum and stainless steel, is not induction compatible. Stainless steel poses the most confusion because it can be made with a great variety of metals; a high nickel content will block the magnetic field."

"Aluminum, all-copper, or glass cookware will not work unless they have a layer on the bottom with magnetic properties."

https://www.thespruceeats.com/what-is-the-best-cookware-for-induction-cooktops-908920

An induction pan must be flat to work properly, if it is bowed up in the middle even if it does work you aren't going to have the right efficiency. Many pans say induction ready, some say it because they are made of steel or iron, but not all of them have been tested so you won't always know before you try it.

I am a bit surprised by your description of the error state - all induction stoves start and stop heating all the time, beyond the 50 Hertz cycle of the electricity they also use time modulation on a more noticeable frequency to control their energy output. But you speak as if you have had been using the stove for a while, so it must be different from the normal heat/no neat cycle - maybe you can describe in more detail what is happening.

Having a rim is not necessarily a problem, but maybe it contributes to it in this case, I can't say for sure.

I used to cook on induction, and I had a small American cast iron with a rim on the bottom. It always worked great - in induction, you don't need the pan to touch the cooking surface. But induction cookers have a "pan detection" mechanism, and maybe your pan is constructed in such a way that your stove has trouble detecting it properly.

In the end, if a given pan doesn't work with a given stove, there is nothing to do but retire the pan.

An induction hob works by heating only the base of a pan - the heat doesn’t go on up the sides of a pan. So a wok with wide spreading sides is not very practical. I use a cast iron deep sided pan when I do stir fry menus.