The TRR 181 seminar is held by Florian Noethen (Universität Hamburg, PhD in M1) on December 6, 11 am at Universität Hamburg, Bundesstr. 53, Room 22/23
The geometric structure of instabilities of turbulent solutions is characterized by covariant Lyapunov vectors (CLVs). They describe a basis in tangent space that relates growth and decay of instabilities to Lyapunov exponents. Since existence and uniqueness of both, CLVs and Lyapunov exponents, are given by the Multiplicative Ergodic Theorem, it remains to investigate convergence of CLV-algorithms.In the upcoming presentation I want to give an intuition of CLVs in the context of general dynamical systems. Via asymptotic qualities of CLVs, I will explain the ideas behind Ginelli's algorithm and present a convergence theorem.