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本文研究下面的非周期离散非线性Schrödinger 方程:
-Δun + vnun - ωun = gn(un),n ∈ Z,
其中V = {vn}n∈Z 和gn 都是非周期的,当|n| → +∞ 时,vn → +∞,并且时间频率ω ∈ R 可以满足下面的任何一种情形:(1)ω 属于算子-Δ + V 的一个有限谱间隔;(2)ω < inf σ(-Δ + V);(3)ω ∈ σ(-Δ+ V),其中σ(-Δ+ V)表示-Δ+ V的谱. 本文将用一些局部条件(在无穷远或零处)来代替一些全局条件. 利用变化的喷泉定理,当非线性项在无穷远处是超线性时,本文得到这个方程的无穷多个非平凡孤立子,并且,也得到指数衰减的孤立子的存在性. 相似文献
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The equations governing the response of hysteretic systems to sinusoidal forces, which are memory dependent in the classical phase space, can be given as a vector field over a suitable phase space with increased dimension. Hence, the stationary response can be studied with the aids of classical tools of nonlinear dynamics, as for example the Poincaré map. The particular system studied in the paper, based on hysteretic Masing rules, allows the reduction of the dimension of the phase space and the implementation of efficient algorithms. The paper summarises results on one degree of freedom systems and concentrates on a two degree of freedom system as the prototype of many degree of freedom systems. This system has been chosen to be in 1:3 internal resonance situation. Depending on the energy dissipation of the elements restoring force, the response may be more or less complex. The periodic response, described by frequency response curves for various levels of excitation intensity, is highly complex. The coupling produces a strong modification of the response around the first mode resonance, whereas it is negligible around the second mode. Quasi-periodic motion starts bifurcating for sufficiently high values of the excitation intensity; windows of periodic motions are embedded in the dominion of the quasi-periodic motion, as consequence of a locking frequency phenomenon. 相似文献
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针对单部件系统/关键部件提出视情维修与备件订购联合策略,其中系统退化服从两阶段延迟时间过程且采用非周期检测策略,退化初期以检测间隔T1检查系统状态,而在第一次识别缺陷状态时,缩短检测周期为T2、订购备件且进行不完美维修;若系统在随后的退化中被识别处于缺陷状态,执行不完美维修直至超过阈值次数Nmax并采取预防性更换,但若在检测周期内发生故障则进行更换。根据系统状态和备件状态分析各种可能更新事件及相应的联合决策,利用更新报酬理论构建最小化单位时间内期望成本的目标函数,优化T1,T2, Nmax。与对比模型策略相比,算例结果表明所提出的联合策略能有效降低单位时间内的期望成本。 相似文献
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本文提出了一种基于新型非周期高对比度亚波长 光栅(High Contrast Subwavelength Grating,HCSG)的谐振腔 增强型(Resonant Cavity Enhanced,RCE)光电探测器(Photodetector,PD),该器件是由顶 部光栅型上反射镜、PIN光探 测结构和分布式布拉格下反射镜(Distributed Bragg Reflectors,DBR)组成。新型非周期HC SG上反射镜是由局部湿法 氧化后形成的Al2O3间隔层和非周期GaAs光栅组成,实现了850 n m波段TM模式偏振光的高反射会聚特性,反射 率达到了86.5%且在1.5 μm焦距处实现了光束 会聚。下反射镜是由周期GaAs光栅和GaAs/Al0.9Ga0.1As DBR组成, 周期GaAs光栅对入射光有偏振选择特性,对TM模式的偏振光透射率为96.1%,而对TE模式的偏振光透射率仅有 3.7%。该器件利用了传输矩阵理论方法仿真模拟了其量子效率,量子 效率达到了71.8%,半高全宽接近于0.1 nm。 有效的解决了光电探测器的高量子效率和高响应带宽相互制约的问题,为下一代光通信系统 的发展提供了良好的基础。 相似文献
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垂直腔面发射激光器是先进光学信息系统的关键 器件之一,具有低成本、低发散角、窄线宽等优点。 为满足垂直腔面发射激光器在微型原子钟、军事通信等领域的应用,优化激光器的结构参数 来改善腔模位置以及在 顶层集成光栅改善出光信号的光场分布就变得尤为重要。基于增益腔模失谐技术以及光栅优 异的光束会聚、偏振分 束功能,提出一种基于非周期性亚波长光栅的894 nm垂直腔面发射激 光器。利用光栅的偏振分束功能,可使器件输 出端口的消光大于30 dB。通过改善腔模位置以及氧化孔径,器 件在20 ℃范围内基本工作性能保持稳定 , 在85 ℃环境下工作波长满足微型原子钟的要求,输出光功率为2mW ,为下一代微型原子钟、军事通信等的发展提供了良好的理论基础。 相似文献
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Plausible effect of clustering of undercooled
liquid water (pentamer configuration, icosahedra formation) is discussed showing
water continuous but non-periodic patterns and its impact to the either formation
of ice-crystals or ice-glass, particularly when making contact with plants.
These processes are viable for the cryogenic storage of biological germplasm
and subject for thermoanalytical studies aimed to the determination of glass
transition temperatures. 相似文献
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