Does the phoenix come from China?

I'm curious to know, does the phoenix, that mythical creature often depicted with resplendent plumage and the ability to rise from its own ashes, truly originate from China? Or is this a cultural association that has developed over time? I'm particularly interested in understanding the historical and cultural context behind this belief, and whether there are any ancient texts or legends that can shed light on the phoenix's origins. Additionally, I'm wondering if there are any other cultures or regions that also claim the phoenix as their own, and how the various narratives about this creature compare and contrast.