Attracting basins in ℙ2
We prove the existence of infinitely many attracting basins for some holomorphic mappings in ℙ2. We also show that if a family of mappings has a complex generic homoclinic tangency, then some of the mappings in the family have an attractive periodic fixed point.
Math Subject Classifications32H50 58F23
Key Words and Phasescomplex dynamics attracting basins generic homoclinic tangency
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