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Title:
Mini-course. Zoology in the Hénon Family: Renormalization nearby chain of homoclinic tangencies Part III
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Abstract:
For the outgoing revision of this paper [arXiv:1801.05628], I introduce a renormalization nearby homoclinic tangencies for dynamics on real or complex Banach algebras. This enables to define renormalization operators nearby chain of quadratic homoclinic tangencies for surface diffeomorphisms. I will explain the techniques, which can be applied to show many coexistence phenomena in the Hénon family, the existence of wandering domain for polynomial automorphisms of C2 as done recently with S. Biebler, or to display laminations of different codimentions on which particular phenomena co-exist.
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