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Experimental evidence for the generation of intrinsic localized modes (ILMs) in a nonlinear electrical transmission line is presented both via modulational instability (MI) of the uniform mode and via driving the lattice locally. The…

Pattern Formation and Solitons · Physics 2009-11-13 Ryan Stearrett , L. Q. English

The experimental properties of intrinsic localized modes (ILM) have long been compared with theoretical dynamical lattice models that make use of nonlinear onsite and/or nearest neighbor intersite potentials. Here it is shown for a 1-D…

Pattern Formation and Solitons · Physics 2016-08-24 M. Sato , T. Mukaide , T. Nakaguchi , A. J. Sievers

This experimental study of driven intrinsic localized modes (ILMs) in an electronic circuit lattice with saturable nonlinearity follows the theoretical work of Hadzievski and coworkers. They proposed that a saturable nonlinearity could…

Pattern Formation and Solitons · Physics 2015-06-16 W. Shi , S. Shige , Y. Soga , M. Sato , A. J. Sievers

We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and traveling self-localized modes were generated experimentally and theoretically in…

Pattern Formation and Solitons · Physics 2013-08-21 L. Q. English , F. Palmero , J. F. Stormes , J. Cuevas , R. Carretero-González , P. G. Kevrekidis

Both bright and dark traveling, locked, intrinsic localized modes (ILMs) have been generated with a spatially uniform driver at a frequency in the acoustic spectrum of a nonlinear micromechanical cantilever array. Complementary numerical…

Pattern Formation and Solitons · Physics 2009-11-13 M. Sato , A. J. Sievers

Intrinsic localized modes (ILMs) in a quasi-1D antiferromagnetic material (C2H5NH3)2CuCl4 are counted by using a novel nonlinear energy magnetometer. The ILMs are produced by driving the uniform spin wave mode unstable with an intense…

Pattern Formation and Solitons · Physics 2009-11-11 M. Sato , A. J. Sievers

We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets. In our experiments, we arrange a lattice in a hexagonal…

It is well known that a moving intrinsic localized mode (ILM) in a nonlinear physical lattice looses energy because of the resonance between it and the underlying small amplitude plane wave spectrum. By exploring the Fourier transform (FT)…

Pattern Formation and Solitons · Physics 2015-10-08 M. Sato , T. Nakaguchi , T. Ishikawa , S. Shige , Y. Soga , Y. Doi , A. J. Sievers

We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically-driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). The analysis is performed using an…

Mesoscale and Nanoscale Physics · Physics 2009-10-07 Eyal Kenig , Boris A. Malomed , M. C. Cross , Ron Lifshitz

Intrinsic Localized Modes (ILMs) or Discrete Breathers (DBs) are produced through a non-linear vibration localization phenomenon. While Anderson localization is due to lattice defects, the nonlinearity of lattices provides the basis for ILM…

Pattern Formation and Solitons · Physics 2017-09-01 Adarsh Ganesan , Cuong Do , Ashwin A. Seshia

Nearly steady-state locked intrinsic localized modes (ILMs) in the quasi-1d antiferromagnet (C2H5NH3)2CuCl4 are detected via four-wave mixing emission or the uniform mode absorption. Exploiting the long-time stability of these locked ILMs,…

Pattern Formation and Solitons · Physics 2007-05-23 J. P. Wrubel , M. Sato , A. J. Sievers

Intrinsic Localized Modes (ILM) (or Discrete Breathers, DB) are localized oscillatory modes known to occur in atomic or molecular chains characterized by coupling and/or on-site potential nonlinearity. Quasi-crystals of charged mesoscopic…

Plasma Physics · Physics 2007-05-23 Ioannis Kourakis , Vassileios Basios , Padma Kant Shukla

The manipulation of locked intrinsic localized modes/discrete breathers is studied experimentally in nonlinear electric transmission line arrays. Introducing a static lattice impurity in the form of a capacitor, resistor or inductor has…

Pattern Formation and Solitons · Physics 2009-11-13 M. Sato , S. Yasui , M. Kimura , T. Hikihara , A. J. Sievers

Intrinsic localized modes, also called discrete breathers, can exist under certain conditions in one-dimensional nonlinear electrical lattices driven by external harmonic excitations. In this work, we have studied experimentally the…

Pattern Formation and Solitons · Physics 2018-06-12 F. Palmero , J. Cuevas-Maraver , L. Q. English , R. Chacón

We study nonlinear excitations described by DNLS-type equations with so-called competing nonlinearities. These are the nonlinearities that consist of two power terms with coefficients of different sign. A key feature of these models is the…

Pattern Formation and Solitons · Physics 2025-07-23 G. L. Alfimov , P. A. Korchagin , F. K. Abdullaev

We study frequency conversion in nonlinear mechanical lattices, focusing on a chain of magnets as a model system. We show that by inserting mass defects at suitable locations, we can introduce localized vibrational modes that nonlinearly…

Applied Physics · Physics 2018-08-15 Marc Serra-Garcia , Miguel Molerón , Chiara Daraio

Intrinsic localized modes (ILMs), also called discrete breathers, are directly generated via modulational instability in an array of coupled pendulums. These ILMs can be stabilized over a range of driver frequencies and amplitudes. They are…

Pattern Formation and Solitons · Physics 2009-11-13 R. Basu Thakur , L. Q. English , A. J. Sievers

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 nonlinear system, which is obtained by reducing the lattice.…

Pattern Formation and Solitons · Physics 2023-12-11 Hirotaka Araki , Takashi Hikihara

We demonstrate experimentally and corroborate numerically that an electrical lattice with nearest-neighbor and second-neighbor coupling can simultaneously support long-lived coherent structures in the form of both standard intrinsic…

Pattern Formation and Solitons · Physics 2018-11-13 Xuan-Lin Chen , Saidou Abdoulkary , P. G. Kevrekidis , L. Q. English

We examine the linear and nonlinear modes of a one-dimensional nonlinear electrical lattice, where the usual discrete Laplacian is replaced by a fractional discrete Laplacian. This induces a long-range intersite coupling that, at long…

Pattern Formation and Solitons · Physics 2021-09-01 Mario I. Molina
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