
TY  - JOUR
A1  - Eckhardt, B 
A1  - Louw, JA 
A1  - Steeb, W-H 
T1  - Is there a Connection between Local and Global (In-)Stability?
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1986
VL  - 39
IS  - 3
SP  - 331
EP  - 338
KW  - 
UR  - https://doi.org/10.1071/PH860331 
N2  - 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. 
ER  -

