
%0 Journal Article
%A Eckhardt, B 
%A Louw, JA 
%A Steeb, W-H 
%T Is there a Connection between Local and Global (In-)Stability?
%J Australian Journal of Physics
%D 1986/06/01
%V 39
%N 3
%P 331-338
%K 
%R https://doi.org/10.1071/PH860331
%U https://www.publish.csiro.au/paper/PH860331 
%X We review two criteria which have been used to predict the onset of large scale stochasticity in Hamiltonian systems. We show that one of them, due to Toda and based on a local stability analysis of the equations of motion, is inconclusive. An approach based on the local Riemannian curvature K of trajectories correctly predicts chaos if K < 0 everywhere, but·no further conclusions can be drawn. New (counter-)examples are provided. 
