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Strong variations in superconducting critical temperatures in different families of the cuprate perovskites, even with similar hole doping in their copper-oxygen planes, suggest the importance of lattice modulation effects. The…

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

For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly-decaying linear potential bearing a localized eigenmode embedded in the continuous spectrum. Here, we extend this idea in two directions:…

Pattern Formation and Solitons · Physics 2022-01-05 Faustino Palmero , Mario I. Molina , Jesús Cuevas-Maraver , Panayotis G. Kevrekidis

This work investigates the effect of nonlinearities on topologically protected edge states in one and two-dimensional phononic lattices. We first show that localized modes arise at the interface between two spring-mass chains that are…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 Raj Kumar Pal , Javier Vila , Michael Leamy , Massimo Ruzzene

Modeling the transport of deformable capsules under different flow regimens is crucial in a variety of fields, including oil rheology, blood flow and the dispersion of pollutants. The aim of this study is twofold. Firstly, a combined…

Fluid Dynamics · Physics 2019-03-11 A. Coclite , S. Ranaldo , M. D. De Tullio , P. Decuzzi , G. Pascazio

A pair of quantized spin-wave modes is driven by two-tone parallel pumping in a YIG microdisk. The nonlinear dynamics is experimentally investigated by probing the resulting steady state, which is found to critically depend on the chosen…

We report a theoretical analysis of intrinsic localized modes in a quasi-one-dimensional charge-transfer-solid $[Pt(en)_2][Pt(en)_2 Cl_2](ClO_4)_4$(PtCl). We discuss strongly nonlinear features of resonant Raman overtone scattering…

Condensed Matter · Physics 2009-10-31 Konstantin Kladko , Jiri Malek , Alan R. Bishop

We study the properties of two-color nonlinear localized modes which may exist at the interfaces separating two different periodic photonic lattices in quadratic media, focussing on the impact of phase mismatch of the photonic lattices on…

Pattern Formation and Solitons · Physics 2015-05-13 Zhiyong Xu , Mario I. Molina , Yuri S. Kivshar

We prove the existence of exponentially localised and time-periodic solutions in general nonlinear Hamiltonian lattice systems. Like normal modes, these localised solutions are characterised by collective oscillations at the lattice sites…

Pattern Formation and Solitons · Physics 2016-07-14 Dirk Hennig

We study localized modes on a single Ablowitz-Ladik impurity embedded in the bulk or at the surface of a one-dimensional linear lattice. Exact expressions are obtained for the bound state profile and energy. Dynamical excitation of the…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 M. I. Molina

The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a…

Quantum Gases · Physics 2015-05-28 S. Rojas-Rojas , R. A. Vicencio , M. I. Molina , F. Kh. Abdullaev

Recently, it was shown that strongly driven micromechanical resonators show mode shapes that strongly differ from the eigenmodes. This raises the question of the origin of this nonlinear behavior. We measure the spatial dependence of the…

Optics · Physics 2025-07-18 Timo Sommer , Agnes Zinth , Aditya , Menno Poot

We investigate pattern formation in a driven mixture of two repulsive particles by introducing a Field-based Lattice Model (FLM), a hybrid model that combines aspects of the driven Widom-Rowlison lattice gas (DWRLG) and its statistical…

Statistical Mechanics · Physics 2025-12-08 G. E. Freire Oliveira , R. Dickman , M. O. Lavrentovich , R. K. P. Zia

Circuits provide ideal platforms of topological phases and matter, yet the study of topological circuits in the strongly nonlinear regime, has been lacking. We propose and experimentally demonstrate strongly nonlinear topological phases and…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Jijie Tang , Fangyuan Ma , Feng Li , Honglian Guo , Di Zhou

Self-propelled liquid metal-aluminum hybrid machines represent a promising class of autonomous motion systems capable of sustained movement without external power sources. While interactions between machines and their environment inevitably…

Applied Physics · Physics 2026-03-20 Jingyi Li , Minghui Guo , Ju Wang , Xi Zhao , Jing Liu

The paper is focused on the dynamic homogenization of lattice-like materials with lumped mass at the nodes to obtain energetically consistent models providing accurate descriptions of the acoustic behavior of the discrete system. The…

Applied Physics · Physics 2020-04-08 Andrea Bacigalupo , Luigi Gambarotta

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

In this paper, a new lattice concept called the locally symmetric lattice is proposed for storage ring light sources. In this new lattice, beta functions are made locally symmetric about two mirror planes of the lattice cell, and the phase…

Accelerator Physics · Physics 2021-01-06 Zhenghe Bai , Penghui Yang , Guangyao Feng , Weimin Li , Lin Wang

The motive of this work is to understand the complex spatial characteristics of finite-amplitude elastic wave propagation in periodic structures and leverage the unique opportunities offered by nonlinearity to activate complementary…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

Circular mode beams are beams with non-zero angular momentum and strong inter-plane coupling. This coupling can be achieved in linear accelerators (linacs) through magnetization of electrons or ions at the source. Depending on the…

Accelerator Physics · Physics 2024-10-16 Onur Gilanliogullari , Brahim Mustapha , Pavel Snopok