Yi-Chiuan Chen

collaborators

2 papers

math.DS2025

More on the Concept of Anti-integrability for Hénon Maps

Zin Arai, Yi-Chiuan Chen

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

math.DS2024

A Proof of the Persistence of Anti-integrable States for Three-Dimensional Quadratic Diffeomorphisms

Yi-Chiuan Chen

Three-dimensional quadratic diffeomorphisms with quadratic inverse generically have five independent parameters. When some parameters approach infinity, the diffeomorphisms may exh…