Discrete Breathers in a One-Dimensional Granular Metamaterial: Linear Lattice with Nonlinear Local Resonators

机译：一维颗粒超材料中的离散呼吸：具有非线性局部谐振器的线性晶格

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We report on the existence of discrete breathers in a model of a one-dimensional, locally-resonant granular met material composed of a linear lattice with nonlinear local resonators. Using numerical continuation, we compute a discrete breather solution that bifurcates from a small amplitude Eigen mode with frequency at the lower edge of the optical band. The displacement profile of this breather is localized around a single lattice site. We use direct numerical integration of the equations of motion to demonstrate that the breather persists for many cycles with little radiation.

机译：我们报告一维，局部共振的颗粒状材料的模型中存在离散通气，该材料由具有非线性局部共振器的线性晶格组成。使用数值连续性，我们计算出离散呼吸解，该解从小振幅本征模分叉，频率在光学频带的下边缘。该通气装置的位移曲线位于单个晶格位置附近。我们使用运动方程式的直接数值积分来证明呼吸器在很少辐射的情况下可持续许多周期。

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《2014 International Symposium on Optomechatronic Technologies》|2014年|15-17|共3页
会议地点 Seattle WA(US)
作者
Wallen S.; Chong C.; Kevrekidis P.G.; Boechler N.;
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Dept. of Mech. Eng., Univ. of Washington, Seattle, WA, USA;

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1. Fano resonance due to discrete breather in nonlinear Klein-Gordon lattice in metamaterials [J] . Choudhary K., Adhikari S., Biswas A., Journal of the Optical Society of America, B. Optical Physics . 2012,第9期

机译：超材料中非线性Klein-Gordon晶格中由于离散通气导致的Fano共振
2. Discrete breathers in nonlinear Schrodinger hypercubic lattices with arbitrary power nonlinearity [J] . Dorignac J, Zhou J, Cambell DK Physica, D. Nonlinear phenomena . 2008,第4期

机译：具有任意幂非线性的非线性薛定inger超三次晶格中的离散呼吸
3. Vibration localization in one-dimensional linear and nonlinear lattices: Discrete and continuum models [J] . Andrianov I.V., DanishevsKyy V.V., Kalamkarov A.L. Nonlinear dynamics . 2013,第1a2期

机译：一维线性和非线性晶格中的振动局部化：离散模型和连续模型
4. Discrete Breathers in a One-Dimensional Granular Metamaterial: Linear Lattice with Nonlinear Local Resonators [C] . Wallen S., Chong C., Kevrekidis P.G., International Symposium on Optomechatronic Technologies . 2014

机译：一维粒状超材料中的离散呼吸：带非线性局部谐振器的线性格子
5. Discrete parity-time symmetric nonlinear Schrodinger lattices. [D] . Li, Kai. 2014

机译：离散奇偶时间对称非线性Schrodinger晶格。
6. Travelling breathers and solitary waves in strongly nonlinear lattices [O] . Guillaume James -1

机译：强非线性晶格中的行进呼吸和孤立波
7. Discrete Breathers and Energy Localization in Nonlinear Lattices [O] . Dauxois, T., Peyrard, M. 1993

机译：非线性格上的离散呼吸器与能量定位

Discrete Breathers in a One-Dimensional Granular Metamaterial: Linear Lattice with Nonlinear Local Resonators

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