Y. Nam

activity

20142021

most citedHyers-Ulam stability of elliptic Möbius difference equation

21 citations · 24 across the 8 of their papers we have counts for

collaborators

10 papers

math.DS2021★ 1 cited

Hyers-Ulam stability of the first order difference equation generated by linear maps

Young Woo Nam

Hyers-Ulam stability of the difference equation $z_{n + 1} = a_{n} z_{n} + b_{n}$ is investigated. If $\prod_{j = 1}^{n} ∣ a_{j} ∣$ has subexponential growth rate, then difference equation gen…

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.DS2017

Hyers-Ulam stability of parabolic Möbius difference equation

Young Woo Nam

The linear fractional map $g (z) = \frac{a z + b}{cz + d}$ on the Riemann sphere with complex coefficients $a d - b c = 1$ is and $a + d = \pm 2$ , then $g$ is called {\em parabolic}…

math.CA2017★ 21 cited

Hyers-Ulam stability of elliptic Möbius difference equation

Young Woo Nam

The linear fractional map $f (z) = \frac{a z + b}{cz + d}$ on the Riemann sphere with complex coefficients $a d - b c \neq = 0$ is called Möbius map. If $f$ satisfies $a d - b c = 1$ and…

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…

math.DS2014

Renormalization of $C^{r}$ Hénon map : Two dimensional embedded map in three dimension

Young Woo Nam

We study renormalization of highly dissipative analytic three dimensional Hénon maps $F (x, y, z) = (f (x) - ε (x, y, z), x, δ (x, y, z))$ where $ε (x, y, z)$ is a s…

math.DS2014★ 1 cited

Renormalization of three dimensional Hénon map I : Reduction of ambient space

Young Woo Nam

Three dimensional analytic Hénon-like map $F (x, y, z) = (f (x) - ε (x, y, z), x, δ (x, y, z))$ and its {\em period doubling} renormalization is defined. If $F$ is infinitely renor…

math.DS2014★ 1 cited

Invariant space under Hénon renormalization : Intrinsic geometry of Cantor attractor

Young Woo Nam

Three dimensional Hńon-like map $F (x, y, z) = (f (x) - ε (x, y, z), x, δ (x, y, z))$ is defined on the cubic box $B$ . An invariant space under renormalization would appear only in h…

Hyers-Ulam stability of the first order difference equation generated by linear maps

Hyers-Ulam stability of loxodromic Möbius difference equation

Hyers-Ulam stability of hyperbolic Möbius difference equation

Hyers-Ulam stability of parabolic Möbius difference equation

Hyers-Ulam stability of elliptic Möbius difference equation

Hénon renormalization in arbitrary dimension : Invariant space under renormalization operator

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

Renormalization of Cr Hénon map : Two dimensional embedded map in three dimension

Renormalization of three dimensional Hénon map I : Reduction of ambient space

Invariant space under Hénon renormalization : Intrinsic geometry of Cantor attractor

Renormalization of $C^{r}$ Hénon map : Two dimensional embedded map in three dimension