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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

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

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

Optically-induced real-time impurity modes are used to shepherd intrinsic localized vibrational modes (discrete breathers) along micromechanical arrays via either attractive or replulsive interactions. Adding an electrode to the cantilever…

Pattern Formation and Solitons · Physics 2009-11-10 M. Sato , B. E. Hubbard , A. J. Sievers , B. Ilic , H. G. Craighead

Using an efficient optimal control scheme to determine the exciting fields, we theoretically demonstrate the optical creation of vibrational intrinsic localized modes (ILMs) in anharmonic perfect lattices with realistic interatomic…

Materials Science · Physics 2009-10-31 T. Roessler , J. B. Page

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

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

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

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

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

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

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

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

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

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

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

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 demonstrate a method for manipulating small ensembles of vortices in multiply-connected superconducting structures. A micron-size magnetic particle attached to the tip of a silicon cantilever is used to locally apply magnetic flux…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 Hryhoriy Polshyn , Tyler Naibert , Raffi Budakian
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