2 papers
math.CA2024
Long time evolution of the Hénon-Heiles system for small energy
Ovidiu Costin, Rodica Costin, Kriti Sehgal
The Hénon-Heiles system, initially introduced as a simplified model of galactic dynamics, has become a paradigmatic example in the study of nonlinear systems. Despite its simplicit…
math.CV2023
On the pointwise existence of Cauchy integrals
Nicholas Castillo, Ovidiu Costin, Kriti Sehgal
The Riemann-Hilbert (RH) approach, whose origins can be traced back to Riemann's PhD thesis, is well known to be far-reaching. It provides a general framework for expressing soluti…