As I explained, Phals will flower continually from the same inflorescence (flower stalk) if the plant is in good health and growing conditions. I had a pure white Phal. amabilis hybrid flower off and on in about 6 flushes for almost a year but this is the SAME flower stalk and thus, NOT a new bloom event.
You cut off the flower stalk of the Oncidium ("dancing lady"?) and it grew another *flower stalk. I'm quite sure that it sent up a new stalk from a different pseudobulb as Oncidiums do not repeatedly flower from old bulbs (i.e. bulbs which have already flowered). The old bulbs are simply used as nutrient stores to fuel the next growth. If it did rebloom from the same bulb and in the same growng year (it happens every now and then) then that is very exceptional. Each orchid has a blooming season, just like any other plant.
Edit: Dendrobiums die off and then begin to grow again. When the plant dies back after flowering water it only rarely and do not fertilize it (do mist the bare or few leaved stalk every day or two to keep it from drying out totally). When the light intensity increases in spring the plant will begin to send up another growth. When this happens you can begin watering and fertilizing as normal for Orchids (1/8-1/4 strength Urea Free Orchid fertilizer) The new growth(s) should mature and flower by next autumn.
Yup, the Cypripediums are always very expensive. It's rare to find a single growth immature plant of any of the 45 or so species for less than $50-$100 (and usually more). The poached plants off Ebay not included! *[img]http://www.**********.com/iB_html312/non-cgi/emoticons/wink.gif[/img]