Breather Propagation and Arrest in Significantly Nonlinear Chains
Source abstract
Abstract
In the current paper, we study breather propagation and arrest in chains with significantly nonlinear interactions of elements depending on the type of nonlinearity. We extend the consideration of the two-stage propagation of breathers in these chains on the relevant substrates to the general case of power-law nonlinear nearest-neighbor interaction. Our work concerns the effect of the nonlinearity on breather propagation and breather arrest. We exploit the simplified model to predict the main features of breather arrest for a wide range of nonlinearity types, including smooth-function analogs for vibro-impact contact.
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Research context
OpenAlex topics: Nonlinear Photonic Systems · Bladed Disk Vibration Dynamics · Acoustic Wave Phenomena Research
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Affiliations
N.N. Semenov Federal Research Center of Chemical Physics, Russian Academy of Sciences, 119991 Moscow, Russia
Physics Department, HSE University, 109028 Moscow, Russia
Funding
Russian Science Foundation
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