  We present the results of analytical study and Molecular Dynamics simulation
of low energy nonlinear non-stationary dynamics of single-walled carbon
nanotubes (CNTs). New phenomena of intensive energy exchange between different
parts of CNT and weak energy localization in a part CNT are analytically
predicted in the framework of the continuum shell theory. These phenomena take
place for CNTs of finite length with medium aspect ratio under different
boundary conditions. Their origin is clarified by means of the concept of
Limiting Phase Trajectory, and the analytical results are confirmed by the MD
simulation of simply supported CNTs.
