Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	张智元博士,Université Sorbonne Paris Nord）
Inviter:
Title:	Newhouse phenomenon in the complex Hénon family
Language:	Chinese
Time & Venue:	2023.06.30 10:15-11:15 南楼N913
Abstract:	In a work in progress with Artur Avila and Mikhail Lyubich, we show that there are maps in the complex Hénon family with a stable homoclinic tangency. Moreover, we show that any analytic unfolding of a quadratic homoclinic tangency of a dissipative saddle periodic point of a holomorphic map in C2 possesses a parameter with a stable homoclinic tangency. We will explain a new mechanism for the stable intersections between two dynamical Cantor sets generated by two classes of conformal IFSs on the complex plane.