학술논문

Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain
Document Type
Working Paper
Source
Physics Letters A 497 (2024) 129334, 1-7
Subject
Nonlinear Sciences - Pattern Formation and Solitons
Mathematical Physics
Language
Abstract
We study numerically a discrete, nonlinear lattice, which is formed by a chain of pendula submitted to a harmonic-driving source with constant amplitude and parametrical excitation. A supratransmission phenomenon is obtained after the derivation of the homoclinic threshold for the case when the lattice is driven at one edge. The lattice traps gap solitons when the chain is subjected to a periodic horizontal displacement of the pivot. Discrete rogue waves are generated for the case when the pendulum is simultaneously driven and shaken. This work may pave the way for experimental generation of discrete rogue waves within simple devices.
Comment: 9 pages, 9 figures