3 papers
math.NA2026
Taming discrete rough paths via strong Lyapunov functions
Luu Hoang Duc
Based on the newly introduced concept of {\it strong Lyapunov functions} for rough differential equations \cite{ducjost25}, we study a tamed numerical scheme to approximate the sol…
math.DS2025
Strong Lyapunov functions for rough systems
Luu Hoang Duc, Jürgen Jost
We extend the Lyapunov function technique, a fundamental tool for investigating asymptotic stability and existence of attractors for ordinary differential equations, by introducing…
math.DS2025
Stability criteria for rough systems
Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong
We propose a quantitative direct method to prove the local stability of a stationary solution for a rough differential equation and its regular discretization scheme. Using Doss-Su…