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Hénon-like maps with arbitrary stationary combinatorics

Hénon-like maps with arbitrary stationary combinatorics

Abstract We extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Renormalization in the Hénon family, I: universality but non-rigidity. J. Stat. Phys. 121 (5/6) (2005), 611–669] from period-doubling Hénon-like maps to Hénon-like maps with arbitrary stationary combinatorics. We show that the renormalization picture also …