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Title:
Mini-course. Zoology in the Hénon Family: Renormalization nearby chain of homoclinic tangencies: Part 2
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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 C^2 as done recently with S. Biebler, or to display laminations of different codimentions on which particular phenomena co-exist.
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