Hi
If you are using a four prong centre and the end of the blank is square, (ensuring that all four prongs are in engagement), then the slippage is down to either tool sharpness or your technique.
Knocking the corners off the blank will reduce the effects of bad technique but it's better to address the issue of tool presentation. You are almost certainly trying to take too much material off in a single pass, this coupled with the intermittent contact as you begin to rough down a blank will shock load the centre out of engagement.
Tool edge quality will also have a significant effect, a roughing gouge used enthusiastically will have a relatively large length of edge in contact with the work and consequently, if this edge is not good, the resistance to cutting is high. An edge straight from an 80, or preferably, a 100 grit wheel will be fine but do keep it in good order by regularly visiting the wheel.
When I started turning I was advised to use a ring drive centre - advice I followed. Using a ring drive centre teaches you delicate presentation, (otherwise the drive slips), - if you have one I'd suggest practising with it. If not, ensure your tools are sharp and take lighter cuts.
Finally, Stebcentres are very good in my opinion, however they will not address the issues you are suffering - they will just cut pretty rings into the end of your blank when they slip. One downside with a Stebcentre is that once it has slipped subsequent re-engagements are less efficient.
Persevere with the presentation - you'll get there sooner than you think.
Regards Mick