The stability question of large-scale horizontal motion in the atmosphere under the effect of Rossby parameter is discussed in this paper by using the qualitative analysis theory of ordinary differential equations. Th...The stability question of large-scale horizontal motion in the atmosphere under the effect of Rossby parameter is discussed in this paper by using the qualitative analysis theory of ordinary differential equations. The following aspects are reviewed: The stability of large-scale horizontal motion in the atmosphere accords with the common inertial stability criterion when the effect of Rossby parameter is not considered (Yang, 1983), and that, on the other hand, the motion will bifurcate two times with the variation of absolute vorticity of basic Zephyr flow at the initial position under the effect of Rossby parameter. Furthermore, in the inertial stable region, if the effect of geostrophic deviation at the initial position is considered, the motion will not only bifurcate but also generate a catastrophe.展开更多
We consider an MX/M/c queue with catastrophes and state- dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, a...We consider an MX/M/c queue with catastrophes and state- dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no catastrophes. All of these properties and the first effective catastrophe occurrence time are then investigated for the case of resurrection and catastrophes. In particular, we obtain the Laplace transform of the transition probability for the absorbing MX/M/c queue.展开更多
Miniaturized spectrometers with high resolving power and cost-effectiveness are desirable but remain an open challenge.In this work,we repurpose a fiber generated by the catastrophic fuse effect and ingeniously harnes...Miniaturized spectrometers with high resolving power and cost-effectiveness are desirable but remain an open challenge.In this work,we repurpose a fiber generated by the catastrophic fuse effect and ingeniously harness it for a speckle-based computational spectrometer.Without complex disorder engineering,the axially random micro-cavities in the fused fiber enhance the wavelength sensitivity of multimode interference,enabling a 10 cm fiber to achieve a spectral resolution of 0.1 nm.This performance exhibits sixfold improvement over a common multimode fiber configuration of the same length.Furthermore,we develop a spectral reconstruction method that combines a weighted transmission matrix with automatic differentiation,which reduces the reconstruction error by approximately half and enhances the peak signal-to-noise ratio by 6.12 dB compared to traditional Tikhonov regularization.Spectra spanning a 40 nm range,exhibiting both sparse and dense characteristics,are accurately reconstructed.To the best of our knowledge,this represents the first application of fused fiber in computational spectrometers,demonstrating its potential for a wide range of spectral measurement scenarios.展开更多
文摘The stability question of large-scale horizontal motion in the atmosphere under the effect of Rossby parameter is discussed in this paper by using the qualitative analysis theory of ordinary differential equations. The following aspects are reviewed: The stability of large-scale horizontal motion in the atmosphere accords with the common inertial stability criterion when the effect of Rossby parameter is not considered (Yang, 1983), and that, on the other hand, the motion will bifurcate two times with the variation of absolute vorticity of basic Zephyr flow at the initial position under the effect of Rossby parameter. Furthermore, in the inertial stable region, if the effect of geostrophic deviation at the initial position is considered, the motion will not only bifurcate but also generate a catastrophe.
基金This work was substantially supported by the National Natural Sciences Foundations of China （Grant Nos. 11371374, 11771452, 11701489, 11571372）, the National Natural Science Foundation of China-Tian Yuan （Grant No. 11626203）, and the Natural Sciences Foundations of Hunan Province （No. 2017JJ2328）.
文摘We consider an MX/M/c queue with catastrophes and state- dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no catastrophes. All of these properties and the first effective catastrophe occurrence time are then investigated for the case of resurrection and catastrophes. In particular, we obtain the Laplace transform of the transition probability for the absorbing MX/M/c queue.
基金National Natural Science Foundation of China(62305391)Scientific Fund of National University of Defense Technology(22-061,BC-03)Postgraduate Scientific Research Innovation Project of Hunan Province(XJJC2024016)。
文摘Miniaturized spectrometers with high resolving power and cost-effectiveness are desirable but remain an open challenge.In this work,we repurpose a fiber generated by the catastrophic fuse effect and ingeniously harness it for a speckle-based computational spectrometer.Without complex disorder engineering,the axially random micro-cavities in the fused fiber enhance the wavelength sensitivity of multimode interference,enabling a 10 cm fiber to achieve a spectral resolution of 0.1 nm.This performance exhibits sixfold improvement over a common multimode fiber configuration of the same length.Furthermore,we develop a spectral reconstruction method that combines a weighted transmission matrix with automatic differentiation,which reduces the reconstruction error by approximately half and enhances the peak signal-to-noise ratio by 6.12 dB compared to traditional Tikhonov regularization.Spectra spanning a 40 nm range,exhibiting both sparse and dense characteristics,are accurately reconstructed.To the best of our knowledge,this represents the first application of fused fiber in computational spectrometers,demonstrating its potential for a wide range of spectral measurement scenarios.
