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19912026
most citedp-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes

219 citations

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nlin.PS2021★ 6 cited

Rotobreathers in a chain of coupled elastic rotators

Alexander V. Savin, Ilsiya R. Sunagatova, Sergey V. Dmitriev

Rotobreathers in the chain of coupled linearly elastic rotators are analyzed. Each rotator is a particle connected by a massless elastic rod with a frictionless pivot; it has two d…

nlin.PS2020★ 1 cited

Coupled Schrödinger equations as a model of interchain excitation transport in the DNA

Margarita Kovaleva, Leonid Manevitch

In our report we consider two weakly coupled Schrödinger equations as a model of the interchain energy transport in the DNA double-helix. We use the reduction of the Yakushevich-ty…

nlin.PS2018★ 18 cited

Nonlinear waves in a model for silicate layers

Juan F. R. Archilla, Yaroslav Zolotaryuk, Yuriy A. Kosevich +1

Some layered silicates are composed of positive ions, surrounded by layers of ions with opposite sign. Mica muscovite is a particularly interesting material, because there exist fo…

nlin.PS2017★ 37 cited

Discrete breathers assist energy transfer to ac driven nonlinear chains

Danial Saadatmand, Daxing Xiong, Vitaly A. Kuzkin +3

One-dimensional chain of pointwise particles harmonically coupled with nearest neighbors and placed in six-order polynomial on-site potentials is considered. Power of the energy so…

nlin.PS2015★ 12 cited

Non-stationary resonance dynamics of weakly coupled pendula

Leonid I. Manevitch, Francesco Romeo

In this paper we fill the gap in understanding the non-stationary resonance dynamics of the weakly coupled pendula model, having significant applications in numerous fields of phys…

nlin.PS2015★ 13 cited

Accelerating oscillatory fronts in a nonlinear sonic vacuum with strong non-local effects

O. V. Gendelman, V. Zolotarevskiy, A. V. Savin +2

In this Letter we describe a novel class of dynamical excitations -- accelerating oscillatory fronts in a new genre of nonlinear sonic vacua with strongly non-local effects. Indeed…

nlin.PS2015★ 16 cited

A supersonic crowdion in mica: Ultradiscrete kinks with energy between K recoil and transmission sputtering

J. F. R. Archilla, Yuriy A. Kosevich, Noé Jiménez +2

In this chapter we analyze in detail the behaviour and properties of the kinks found in an one dimensional model for the close packed rows of potassium ions in mica muscovite. The…

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.PS2012★ 22 cited

Nonlinear energy transfer in classical and quantum systems

Leonid Manevitch, Agnessa Kovaleva

We investigate the effect of slowly-varying parameter on the energy transfer in a system of weakly coupled nonlinear oscillators, with special attention to a mathematical analogy b…

nlin.PS2010★ 86 cited

Limiting phase trajectories and the origin of energy localization in nonlinear oscillatory chains

L. I. Manevitch, V. V. Smirnov

We demonstrate that the modulation instability of the zone boundary mode in a finite (periodic) Fermi-Pasta-Ulam chain is the necessary but not sufficient condition for the efficie…

nlin.PS2007★ 40 cited

Wandering breathers and self-trapping in weakly coupled nonlinear chains: classical counterpart of macroscopic tunneling quantum dynamics

Yuriy A. Kosevich, Leonid I. Manevitch, Alexander V. Savin

We present analytical and numerical studies of phase-coherent dynamics of intrinsically localized excitations (breathers) in a system of two weakly coupled nonlinear oscillator cha…