Seongchan Kim

collaborators

3 papers

math.DS2026

Transverse foliations for two-degree-of-freedom mechanical systems

Naiara V. de Paulo, Seongchan Kim, Pedro A. S. SalomÃ£o +1

We investigate the dynamics of a two-degree-of-freedom mechanical system for energies slightly above a critical value. The critical set of the potential function is assumed to cont…

math.GT2025

Algebraic Mapping Class Group Rigidity

Seong Youn Kim

Let $g, n \geq 0$ and $I^£ = I^£_{g, n}$ be a connected oriented surface of genus $g$ with $n$ punctures. The $SL_{2}$ -character variety of $I^£$ has a rigid relative automorphi…

math.DS2025

On invariants of families of lemniscate motions in the two-center problem

Hanna Haeussler, Seongchan Kim

We determine four topological invariants introduced by Cieliebak-Frauenfelder-Zhao, based on Arnold's $J^{+}$ -invariant, of periodic lemniscate motions in Euler's two-center problem.