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 …

In this paper, the nonlinear vibrations and energy exchange of single-walled carbon
nanotubes (SWNTs) are studied. The Sanders–Koiter theory is applied to model the …

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 …

In this letter we fill the gap in understanding the non-stationary Hamiltonian dynamics of the
weakly coupled pendula model having significant applications in numerous fields of physics …

The stationary and highly non-stationary resonant dynamics of the harmonically forced
pendulum are described in the framework of a semi-inverse procedure combined with the …

We discuss a recently developed concept of limiting phase trajectories (LPTs) allowing a
unified description of resonance, highly non-stationary processes for a wide range of …

The low-and high-amplitude oscillations in the system of three nonlinear coupled pendula
(trimer) are analyzed beyond the quasilinear approximation. The considered oscillations are …