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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…