Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations

Harald Posch

Veröffentlichungen: Elektronische/multimediale VeröffentlichungWebpublikation


Lyapunov exponents are indicators for the chaotic properties of a classical dynamical system. They are most naturally defined in terms of the time evolution of a set of so-called covariant vectors, co-moving with the linearized flow in tangent space. Taking a simple spring pendulum and the Henon-Heiles system as examples, we demonstrate numerically that the set of covariant vectors is unique in the following sense: once obtained for a particular frame of reference, it may be easily converted to another representation.
PublikationsstatusVeröffentlicht - 2011

ÖFOS 2012

  • 103036 Theoretische Physik