Apologies for dredging this up from the depths, but I've got to say that most of the experiences in this thread don't ring true with my own when it comes to induction hobs.
Firstly, there shouldn't be any 'pulsing' evident. The heat should be quick, even and constant - it's more like using gas than using an electric cooker. Secondly, you shouldn't be getting an audible 'click' from the hob - a slight buzzing from the pans perhaps, but nothing audible from the innards of the hob itself.
And lastly, you should be able to have full power - or any degree of power for that matter - to multiple rings at the same time without having to compromise on the output.
Induction cooking
should be near-instantaneous, progressive heat with none of the drawbacks that some people seem to be experiencing. I've got no idea why you all seem to be having trouble, but it would be interesting to see who has which model from which manufacturer.
You tend to only have 10 or so power output levels on induction hobs, with gas, you can effectively control continuously between 0 and 100%.
That does seem to depend on the hob's controller itself. Some are set with levels, like an electric hob, where some have a more variable control that a gas hob.
There shouldn't be any real issue with either, if I'm honest.