On Parameter Loci of the Hénon Family

The purpose of the current article is to investigate the dynamics of the Hénon family f a , b : ( x, y ) ↦ ( x 2 − a − by , x ), where ( a , b ) ∈ R × R × is the parameter (Hénon in Commun Math Phys 50(1): 69–77, 1976 ). We are interested in certain geometric and topological structures of two loci o...

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