New cases of quasiperiodic motions in reversible systems.
A theorem on the existence of invariant D-dimensional tori in reversible mappings near surfaces foliated into invariant tori of dimension d is announced, where d</=D and the phase space dimension is no less than 2D. This result and its analog for reversible differential equations present a bridge between the so-called global and local lower dimensional reversible Kolmogorov-Arnold-Moser theorems.
Sevryuk
M. B.
MB
Institute of Energy Problems of Chemical Physics, 117829, Lenin Prospect 38, Building 2, Moscow, Russia.