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 Classifications

32H50 58F23 

Key Words and Phases

complex dynamics attracting basins generic homoclinic tangency 


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Copyright information

© Mathematica Josephina, Inc. 1998

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of KansasLawrence

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