Abstract
We consider the (three parameters) family of nonlinear mappings
where a, b, c are positive real numbers.
is the classical Hénon-Devaney map [1, 2, 6]. For a large open region of parameters, we exhibit invariant Cantor sets embedded in the plane with two hyperbolic fixed points of saddle type.
Disclosure statement
No potential conflict of interest was reported by the author(s).