Phase portrait on hemisphere

Question:Phase portrait on hemisphere

Posted: Pepini 255 Product: Maple

April 22 2021

hi I want to map these two phase portraits on sphere according.

Upper hemisphere:

Lower hemisphere:

I used code from this post

but I can't figure out how to delete this black half and add next part:

I found this idea in Elias Wegert's book Visual Complex Functions. Thanks in advance.

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