Niether processor is stable on the wrong chipset.
Stability wise, Intel are by far the best. I'm an avid AMD supporter and fan, but quite frankly Intel are FAR more stable processors under Windows/Linux Operating Systems. Especially when they're on Intel Motherboards!
I have and original Intel P2-266MHz on an Intel AL440LX board. I've put some of the most unstable hardware in that system (256MB Ram which claims it's 384MB and other such problematic hardware)... the System has never crashed on me since I bought it in '97.
And yes, i *still* use it today as a Solaris 10 server.
Generally speaking, Intels Processors are more stable, however they lack top-end speed. Even with SSE/2/3 most AMD Processors run quicker and with far less heat (making them far better suited to overclocking).
It is this less heat which is probably why most Intel Systems appear to crash more often now. Alot of companies throw in cheap heatsinks and fans, which honestly have no business being on processors as quick as they are.
As such when the processor gets to hot, it'll automatically reboot the system in order to cool itself.
Depending on what your planning on doing I'd say go with the AthlonXP. That said if you have the cash to afford a P4-3.2 then go out and buy yourself an AMD Athlon64 3000+ System instead.
They'll still cost you less, but the benifits are far greater, particularly if you can get you hands on a PCX Mobo.