Y. Nam

activity

20152018

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math.DS2018

Hyers-Ulam stability of loxodromic Möbius difference equation

Young Woo Nam

Hyers-Ulam of the sequence ${z_{n}}_{n \in N}$ satisfying the difference equation $z_{i + 1} = g (z_{i})$ where $g (z) = \frac{a z + b}{cz + d}$ with complex numbers $a$ ,…

math.DS2017

Hyers-Ulam stability of hyperbolic Möbius difference equation

Young Woo Nam

Hyers-Ulam stability of the difference equation with the initial point $z_{0}$ as follows $z_{i + 1} = \frac{a z _{i} + b}{c z _{i} + d}$ is investigated for complex numbers $a, b, c$ an…

math.DS2015

Hénon renormalization in arbitrary dimension : Invariant space under renormalization operator

Young Woo Nam

Infinitely renormalizable Hénon-like map in arbitrary finite dimension is considered. The set, $N$ of infinitely renormalizable Hénon-like maps satisfying the certain cond…

math.DS2015

Renormalization of Hénon map in arbitrary dimension I : Universality and reduction of ambient space

Young Woo Nam

Period doubling Hénon renormalization of strongly dissipative maps is generalized in arbitrary finite dimension. In particular, a small perturbation of toy model maps with dominate…