Cubic dynamics on the Hénon family

Teruhiko Soma | Kiriki, Shin

Keywords: H\'enon maps | cubic tangency | persistent antimonotonic tangencies | cubic polynomial-like strange attractors

In this paper, it is shown that infinitely many Henon maps have cubic tangencies which unfold generically with respect to the original Henon two-parameter family. By using this fact, we show that the new phenomena, persistent antimonotonic tangencies and cubic polynomial-like strange attractors, occur in certain Henon subfamilies.

Anexos:

• Cub_Henon.pdf