Typical coexistence of infinitely many strange attractors

We prove that the coexistence of infinitely many prevalent Hénon-like phenomena is Kolmogorov typical in sectional dissipative C-Berger domains of parameter families of diffeomorphisms of dimension m ≥ 3 for d < r − 1. In particular, we get the coexistence infinitely many non-hyperbolic strange attractors for 3 ≤ d < r − 1.

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