Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials

We consider a family of 1-dimensional Hamiltonian systems consisting of a large number of particles with on-site potentials and global (long range) interactions. The particles are initially at rest at the equilibrium position, and are perturbed sinusoidally at one end using Dirichlet data, while at...

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Bibliographic Details

Published in:	Mathematics in Engineering
Main Authors:	Jorge E. Macías-Díaz, Anastasios Bountis, Helen Christodoulidi
Format:	Article
Language:	English
Published:	AIMS Press 2019-04-01
Subjects:	nonlinear supratransmission globally interacting systems on-site potentials
Online Access:	https://www.aimspress.com/article/10.3934/mine.2019.2.343/fulltext.html