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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

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

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

Locked intrinsic localized modes (ILMs) and large amplitude lattice spatial modes (LSMs) have been experimentally measured for a driven 1-D nonlinear cyclic electric transmission line, where the nonlinear element is a saturable capacitor.…

Pattern Formation and Solitons · Physics 2018-05-09 S. Shige , K. Miyasaka , W. Shi , Y. Soga , M. Sato , A. J. Sievers

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

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

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

Analytical theory of large size intrinsic localized modes (ILMs) in anharmonic two-atomic chain is presented. It is shown that ILMs with frequencies close to the borders of phonon gap are govern by quartic anharmonicity while the effect of…

Materials Science · Physics 2017-12-05 Vladimir Hizhnyakov

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

A method is presented for realizing logic operations in a micromechanical cantilever array based on the timed application of a lattice disturbance to control the properties of intrinsic localized modes (ILMs). The application of a specific…

Pattern Formation and Solitons · Physics 2010-01-26 M. Sato , N. Fujita , A. J. Sievers

Both low frequency and high frequency impurity modes have been produced in a SiN micromechanical cantilever array by illumination with either an infrared or visible laser. When such laser-induced impurities are placed near a driven…

Pattern Formation and Solitons · Physics 2015-06-23 M. Sato , Y. Sada , W. Shi , S. Shige , T. Ishikawa , Y. Soga , B. E. Hubbard , B. Ilic , 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

A theory of intrinsic localized modes (ILMs) in anharmonic lattices is developed, which allows one to reduce the original nonlinear problem to a linear problem of small variations of the mode. This enables us to apply the Lifshitz method of…

Pattern Formation and Solitons · Physics 2015-05-27 V. Hizhnyakov , A. Shelkan , M. Klopov

We examine quantum decay of localized vibrations in anharmonic crystal lattice. The theory which describes two-phonon anharmonic relaxation can be applied both to local modes associated with substitutional impurity and to intrinsic local…

Condensed Matter · Physics 2007-05-23 V. Hizhnyakov , D. Nevedrov

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

Local integrals of motion (LIOMs) play a key role in understanding the long-time properties of closed macroscopic systems. They were found for selected integrable systems via complex analytical calculations. The existence of LIOMs and their…

Strongly Correlated Electrons · Physics 2025-10-17 J. Pawlowski , J. Herbrych , M. Mierzejewski

A theory is developed to describe the effect of an intrinsic localized mode (ILM) on small vibrations in a monatomic chain with hard quartic anharmonicity. One prediction is the appearance in the chain of linear local modes nearby the ILM.…

Pattern Formation and Solitons · Physics 2011-11-18 V. Hizhnyakov , A. Shelkan , M. Klopov , S. A. Kiselev , A. J. Sievers

The effect of a localized drive on the steady state of an interface separating two phases in coexistence is studied. This is done using a spin conserving kinetic Ising model on a two dimensional lattice with cylindrical boundary conditions,…

Statistical Mechanics · Physics 2014-11-18 Tridib Sadhu , Zvi Shapira , David Mukamel

We demonstrate that due to strong modal interactions through cross-gain saturation, the onset of a new lasing mode can switch off an existing mode via a negative power slope. In this process of interaction-induced mode switching (IMS) the…

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
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