Following a brief review of current progress in the field of nonlinear targeted energy transfer
(TET), we discuss some general ideas and methods in this field and describe certain …

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 …

We demonstrate the new specific phenomenon of the long-time resonant energy exchange
in the carbon nanotubes (CNTs) in the two optical branches-the Circumferential Flexure …

For a sufficiently long time, the main analytical tools for the study of both stationary and non-
stationary nonlinear processes in the finite-dimensional systems, as well as the study of their …

In the framework of the continuum shell theory, we analytically predict a new phenomenon:
the weak localization of optical low-frequency oscillations in carbon nanotubes. We clarify …

We present an analytical description of the large-amplitude stationary oscillations of the
finite discrete system of harmonically coupled pendulums without any restrictions on their …

We demonstrate the new specific phenomenon of the long-time resonant energy exchange
in the carbon nanotubes (CNTs) with the radial breathing mode as a carrier. This process …

This Report discusses a recently developed concept of Limiting Phase Trajectories (LPTs)
providing a unified description of resonant energy transport in a wide range of classical and …

Mathematical analogy between the systems of weakly coupled oscillators and multi-level
quantum system allows considering them in the framework of a unified approach. In …

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