More on the Concept of Anti-integrability for Hénon Maps

Zin Arai, Yi-Chiuan Chen

For the family of Hénon maps $(x,y)\mapsto (\sqrt{a}(1-x^2)-by,x)$ of ${\mathbb{R}}^2$, the so-called anti-integrable (AI) limit concerns the limit $a\to \infty$ with fixed Jacobian…