Definition:Hénon Map

Definition

The Hénon map is the mapping $T: \R^2 \to \R^2$ on the plane defined as:

$\map T {x, y} = \tuple {y + 1 - a x^2, b x}$

for some real numbers $a, b \in \R$.

Also see

• Definition:Hénon Attractor

• Results about the Hénon map can be found here.

Source of Name

This entry was named for Michel Hénon.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): chaos
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): chaos