Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain

Description

Westudynumerically 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 supratrans mission 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.

Abstract

Ministerio de Ciencia, Innovación y Universidades PID2019-109175GB-C22

Abstract

Ministerio de Ciencia, Innovación y Universidades PID2022-138321NB-C22

Abstract

Universidad de Sevilla VII PPITUS-2023

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