Localized modes in nonlinear discrete systems

K Yoshimura, Y Doi, M Kimura - Progress in Nanophotonics 3, 2015 - Springer
This chapter reviews spatially localized modes emerging in nonlinear discrete dynamical
systems, which are called intrinsic localized modes. After the notion of intrinsic localized …

Experimental investigation of supertransmission for an intrinsic localized mode in a cyclic nonlinear transmission line

M Sato, H Furusawa, M Sakai, Y Soga… - … Journal of Nonlinear …, 2022 - pubs.aip.org
In this experimental study of the nonlinear loss mechanism between traveling localized
excitation and the underlying extended normal mode spectrum for a 1D lattice, three types of …

Propagating intrinsic localized mode in a cyclic, dissipative, self-dual one-dimensional nonlinear transmission line

M Sato, H Furusawa, Y Soga, AJ Sievers - Physical Review E, 2023 - APS
A well-known feature of a propagating localized excitation in a discrete lattice is the
generation of a backwave in the extended normal mode spectrum. To quantify the parameter …

Capture and release of traveling intrinsic localized mode in coupled cantilever array

M Kimura, T Hikihara - Chaos: An Interdisciplinary Journal of Nonlinear …, 2009 - pubs.aip.org
A method to manipulate intrinsic localized mode (ILM) is numerically discussed in a
nonlinear coupled oscillator array, which is obtained by modeling a microcantilever array …

Intrinsic localized modes of harmonic oscillations in pendulum arrays subjected to horizontal excitation

T Ikeda, Y Harata, K Nishimura - Journal of …, 2015 - asmedigitalcollection.asme.org
The behavior of intrinsic localized modes (ILMs) is investigated for an array with N pendula
which are connected with each other by weak, linear springs when the array is subjected to …

Restricted normal mode analysis and chaotic response of p-mode intrinsic localized mode

E Perkins - Nonlinear Dynamics, 2019 - Springer
Nonlinearities in arrays of discrete oscillators can cause energy localizations called intrinsic
localized modes (ILMs). Two spatial physical manifestations of localization within the array …

[HTML][HTML] Parametric resonance of intrinsic localized modes in coupled cantilever arrays

M Kimura, Y Matsushita, T Hikihara - Physics Letters A, 2016 - Elsevier
In this study, the parametric resonances of pinned intrinsic localized modes (ILMs) were
investigated by computing the unstable regions in parameter space consisting of parametric …

[HTML][HTML] Shift manipulation of intrinsic localized mode in ac driven Klein Gordon lattice

H Araki, T Hikihara - Physics Letters A, 2024 - Elsevier
Shift manipulation of intrinsic localized mode (ILM) is numerically discussed in an ac driven
Klein Gordon lattice. Before the manipulation, we introduce the 2-degree of freedom …

A new method to control intrinsic localized mode using a variable magnetic spring structure

S Lee, M Kato, Y Doi, K Hirata - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
A special vibration mode called intrinsic localized mode (ILM) in a dispersed multi mass
point-nonlinear spring system has been actively studied in solid-state physics and has a …

Breathers and other time-periodic solutions in an array of cantilevers decorated with magnetsy

C Chong, A Foehr, EG Charalampidis, PG Kevrekidis… - 2019 - digitalcommons.bowdoin.edu
In this article, the existence, stability and bifurcation structure of time-periodic solutions
(including ones that also have the property of spatial localization, ie, breathers) are studied …