Definition:Hénon Attractor

Definition

The Hénon attractor is a strange attractor contained in the plane associated with the Hénon map:

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

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

Also see

• Results about the Hénon attractor can be found here.

Source of Name

This entry was named for Michel Hénon.

Historical Note

The Hénon attractor was studied in computer experiments by Michel Hénon in $1971$.

It was rigorously shown to be a strange attractor for many parameter values in $1991$ by Michael Benedicks and Lennart Axel Edvard Carleson.

Sources

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