activity
20092021
most citedEnergy exchange and transition to localization in the asymmetric Fermi-Pasta-Ulam oscilliatory chain

24 citations · 61 across the 5 of their papers we have counts for

collaborators

5 papers

cond-mat.mes-hall2021★ 1 cited

Phonon interference in the array of carbon nanotubes

Valeri V. Smirnov

The dynamics of the one-dimensional array of the single-walled carbon nanotubes, which interact by van der Waals forces, is considered. The molecular dynamics simulation shows that…

cond-mat.mes-hall2013

Localization of low-frequency oscillations in single-walled carbon nanotubes. Supplementary materials

Valeri V. Smirnov, Denis S. Shepelev, Leonid I. Manevitch

In this supplement we present a short derivation of dynamical equations of thin elastic shell in the framework of modified nonlinear Sanders-Koiter theory, and their relationship w…

cond-mat.mes-hall2013★ 22 cited

Localization of low-frequency oscillations in single-walled carbon nanotubes

Valeri V. Smirnov, Denis S. Shepelev, Leonid I. Manevitch

New phenomenon of a weak energy localization of optical low-frequency oscillations in carbon nanotubes (CNT) is analytically predicted in the framework of continuum shell theory. T…

nlin.PS2012★ 24 cited

Energy exchange and transition to localization in the asymmetric Fermi-Pasta-Ulam oscilliatory chain

V. V. Smirnov, D. S. Shepelev, L. I. Manevitch

A finite (periodic) FPU chain is chosen as a convenient point for investigating the energy exchange phenomenon in nonlinear oscillatory systems. As we have recently shown, this phe…

nlin.PS2009★ 14 cited

Resonant energy exchange in nonlinear oscillatory chains and Limiting Phase Trajectories: from small to large systems

Leonid I. Manevich, Valeri V. Smirnov

We present an adequate analytical approach to the description of nonlinear vibration with strong energy exchange between weakly coupled oscillators and oscillatory chains. The fund…