Nonlinear normal modes, resonances and energy exchange in single-walled carbon nanotubes

M Strozzi, VV Smirnov, LI Manevitch… - International Journal of …, 2020 - Elsevier
The nonlinear resonance interaction and energy exchange between bending and
circumferential flexure modes in single-walled carbon nanotubes is studied. First, the results …

Nonlinear optical vibrations of single-walled carbon nanotubes. 1. Energy exchange and localization of low-frequency oscillations

VV Smirnov, LI Manevitch, M Strozzi… - Physica D: Nonlinear …, 2016 - Elsevier
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 …

Nonlinear optical vibrations of single-walled carbon nanotubes

LI Manevitch, VV Smirnov, M Strozzi… - International Journal of …, 2017 - Elsevier
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 …

Non-conventional synchronization of weakly coupled active oscillators

LI Manevitch, MA Kovaleva, VN Pilipchuk - Europhysics Letters, 2013 - iopscience.iop.org
We present a new type of self-sustained vibrations in the fundamental physical model
covering a broad area of applications from wave generation in radiophysics and nonlinear …

[图书][B] Nonstationary resonant dynamics of oscillatory chains and nanostructures

LI Manevitch, A Kovaleva, V Smirnov, Y Starosvetsky - 2018 - Springer
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 …

Non-linear beatings as non-stationary synchronization of weakly coupled autogenerators

MA Kovaleva, LI Manevitch, VN Pilipchuk - Problems of Nonlinear …, 2019 - Springer
The present work represents a selective overview of recent advances in the area dealing
with a new type of synchronization in systems of weakly coupled active oscillators. The …

Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators

V Kislovsky, M Kovaleva, KR Jayaprakash… - … Journal of Nonlinear …, 2016 - pubs.aip.org
In the present paper, we study the mechanism of formation and bifurcations of highly
nonstationary regimes manifested by different energy transport intensities, emerging in an …

Bifurcation structure of the special class of nonstationary regimes emerging in the 2D inertially coupled, unit-cell model: Analytical study

K Vorotnikov, Y Starosvetsky - Journal of Sound and Vibration, 2016 - Elsevier
Present work is devoted to the analytical investigation of the bifurcation structure of special
class of nonstationary low-energy regimes emerging in the locally resonant unit-cell model …

Nonstationary regimes of homogeneous Hamiltonian systems in the state of sonic vacuum

Y Starosvetsky, Y Ben-Meir - Physical Review E—Statistical, Nonlinear, and …, 2013 - APS
In the present paper we study the mechanism that leads to the formation of regular patterns
of energy localization and complete recurrent energy transport in the homogeneous systems …

Resonance energy transport and exchange in oscillator arrays

A Kovaleva, LI Manevitch - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
It is well known that complete energy transfer between two weakly coupled linear oscillators
occurs only at resonance. If the oscillators are nonlinear, the amplitude dependence of their …