The article explores using Lyapunov exponents to predict chaotic movements of ships. By studying how nearby ship paths either come together or diverge, researchers can identify areas where ships might capsize. They used Lyapunov exponents to analyze chaotic ship behavior both in experiments and computer models. Since Lyapunov exponents usually need infinite time, they also used local Lyapunov exponents that work with finite time. The goal is to use these methods to pinpoint unstable areas in ship movements, reducing the need for expensive simulations and tests.