Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations

Details Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations

2011-07-20

arxiv.org/abs/1107.4032v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 5 Figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness of covariant Lyapunov vectors with respect to coordinate transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36052