The basin of the strange attractors of some Hénon maps

✍ Scribed by Yongluo Cao; Shin Kiriki

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 121 KB
• Volume: 11
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(98)00181-7

✦ Synopsis

We consider the H enon maps. For jj is small and `0, there is a positive measure set of a-values near 2, the corresponding map exhibits a strange attractor K Y . In this paper, we construct a trapping region which contains K Y and prove this trapping is contained in the basin of K Y . Furthermore we give an exact description of the basin of these H enon strange attractors K Y .