Explore the theoretical and numerical aspects of Lyapunov exponents in skew-product semiflows through this 25-minute conference talk presented by Marek Kryspin from Politechnika Wrocławska at the 51st Conference on Applications of Mathematics. Delve into the mathematical concepts and computational methods used to analyze these dynamical systems, gaining insights into their stability and long-term behavior. Learn about the challenges and approaches in calculating Lyapunov exponents for complex systems and their applications in various fields of mathematics and physics.