Variational Symmetry in Non-integrable Hamiltonian Systems

Umeno Ken
1997 Journal of Nonlinear Mathematical Physics  
We consider the variational symmetry from the viewpoint of the non-integrability criterion towards dynamical systems. That variational symmetry can reduce complexity in determining non-integrability of general dynamical systems is illustrated here by a new non-integrability result about Hamiltonian systems with many degrees of freedom.
doi:10.2991/jnmp.1997.4.1-2.8 fatcat:3eud75xdinds3fugyprz52uj4m