I use the NivoSlider plugin for my slideshows and every time I implement them on my websites ( I have three of them) There is this annoying flash or blink right before it advances onto the next slide.
Both links work OK for me; I would try reducing the size of the image file and see it still happens.
Out of interest you have a page title set on one site but the title in the browser tab is “Waiting for ogsindustries.com” so you could have a JavaScript error which I can not check at the moment.
No it was nice smooth transitions - bars and wipes.
As I say try reducing the image size and see what you get . My tests were on Windows 7 IE9 or 10 ( I can not remember what I have now ) on super doper fast broadband at work.