- 96-381 Wodnar K., Ichtiaroglou S., Meletlidou M.
- Non-integrability and continuation of fixed points of 2n-dimensional
perturbed twist mappings
Aug 22, 96
(auto. generated ps),
of related papers
Abstract. In this paper a simple criterion to prove non-integrability of symplectic,
perturbed twist mappings in $2n$ dimensions is developed for
sufficiently small perturbations. In addition an upper bound for the number
of isolating integrals the system can possess is provided. A criterion for
the analytic continuation of isolated periodic orbits in case of a small
nonzero perturbation of twist maps is found. The evaluation of their
linear stability character by obtaining a simplfied expression
of the eigenvalues of the Jacobian matrix concludes the theoretical part.
The theory is finally applied to a generalized standard map involving
Jacobian elliptic functions.