Based on the high-resolution datasets collected in a sea fog field experiment at the northern coast of South China Sea,the variations of liquid water content (LWC) and net longwave radiation flux (NLRF) during two sea...Based on the high-resolution datasets collected in a sea fog field experiment at the northern coast of South China Sea,the variations of liquid water content (LWC) and net longwave radiation flux (NLRF) during two sea fog events on 16th-17th and 18th-19th March,2008 are exaimeed by wavelet analysis,and the cooling mechanisms for fog formation and persistence are also investigated.The main results are shown as follows.(1) Sea fog may develop and persist whether it is cloudy or not aloft.However,when there is cloud aloft the LWC is less and wind speed in sea fog is higher than that in the clear sky.(2) The quasi-periodic oscillations (QPOs) of NLRF are observed in the formation stage of the two fogs.QPOs of LWC are only found in the developing stage no matter with cloudless or cloudy condition.(3) It is likely that sea fog forms by the cooling effects of longwave radiation and develops through the vertical mixing induced by the radiative cooling at the upper level.(4) During sea fog development and persistence,other mechanisms could also play important roles in fog-layer cooling,such as turbulent heat transport and radiation transport between air-sea interfaces.展开更多
In this paper,we prove the existence of quasi-periodic solutions and the boundedness of all the solutions of the general semilinear quasi-periodic differential equation x′′+ax^(+)-bx^(-)=G_x(x,t)+f (t),where x^(+)=m...In this paper,we prove the existence of quasi-periodic solutions and the boundedness of all the solutions of the general semilinear quasi-periodic differential equation x′′+ax^(+)-bx^(-)=G_x(x,t)+f (t),where x^(+)=max{x,0},x^(-)=max{-x,0},a and b are two different positive constants,f(t) is C^(39) smooth in t,G(x,t)is C^(35) smooth in x and t,f (t) and G(x,t) are quasi-periodic in t with the Diophantine frequency ω=(ω_(1),ω_(2)),and D_(x)^(i)D_(t)^(j)G(x,t) is bounded for 0≤i+j≤35.展开更多
In this paper, the authors are concerned with the forced isochronous oscillators with a repulsive singularity and a bounded nonlinearity x'' + V'(x) + g(x) = e(t, x, x'),where the assumptions on V, g a...In this paper, the authors are concerned with the forced isochronous oscillators with a repulsive singularity and a bounded nonlinearity x'' + V'(x) + g(x) = e(t, x, x'),where the assumptions on V, g and e are regular, described precisely in the introduction.Using a variant of Moser's twist theorem of invariant curves, the authors show the existence of quasi-periodic solutions and boundedness of all solutions. This extends the result of Liu to the case of the above system where e depends on the velocity.展开更多
Dynamical responses, such as motion and destruction of hyper-elastic cylindrical shells subject to periodic or suddenly applied constant load on the inner surface, are studied within a framework of finite elasto-dynam...Dynamical responses, such as motion and destruction of hyper-elastic cylindrical shells subject to periodic or suddenly applied constant load on the inner surface, are studied within a framework of finite elasto-dynamics. By numerical computation and dynamic qualitative analysis of the nonlinear differential equation, it is shown that there exists a certain critical value for the internal load describing motion of the inner surface of the shell. Motion of the shell is nonlinear periodic or quasi-periodic oscillation when the average load of the periodic load or the constant load is less than its critical value. However, the shell will be destroyed when the load exceeds the critical value. Solution to the static equilibrium problem is a fixed point for the dynamical response of the corresponding system under a suddenly applied constant load. The property of fixed point is related to the property of the dynamical solution and motion of the shell. The effects of thickness and load parameters on the critical value and oscillation of the shell are discussed.展开更多
A new approach of detecting the black hole spin in x-ray binaries is proposed based on the model of the coexistence of the Blandford-Znajek （BZ） and magnetic coupling （MC） processes, in which the BZ process is use...A new approach of detecting the black hole spin in x-ray binaries is proposed based on the model of the coexistence of the Blandford-Znajek （BZ） and magnetic coupling （MC） processes, in which the BZ process is used to power the jet emissions from x-ray binaries, and high frequency quasi-periodic oscillations （QPOs） are explained by a rotating hotspot in the inner region of the accretion disc surrounding a fast-spinning black hole. It is shown that the black hole spins of several x-ray binaries （XTE J1550-564, GRO d1665-40 and GRS 1915＋105） can be constrained in a rather narrow range, provided that QPOs and jets coexist in these sources.展开更多
Pattern recognition algorithms are commonly utilized to discover certain patterns,particularly in image-based data.Our study focuses on quasiperiodic oscillations(QPO)in celestial objects referred to as cataclysmic va...Pattern recognition algorithms are commonly utilized to discover certain patterns,particularly in image-based data.Our study focuses on quasiperiodic oscillations(QPO)in celestial objects referred to as cataclysmic variables(CV).We are dealing with interestingly indistinct QPO signals,which we analyze using a power density spectrum(PDS).The confidence in detecting the latter using certain statistical approaches may come out with less significance than the truth.We work with real and simulated QPO data of a CV called MV Lyrae.Our primary statistical tool for determining confidence levels is sigma intervals.The aforementioned CV has scientifically proven QPO existence,but as indicated by our analysis,the QPO ended up falling below 1-σ,and such QPOs are not noteworthy based on the former approach.We intend to propose and ultimately train a convolutional neural network(CNN)using two types of QPO data with varying amounts of training dataset lengths.We aim to demonstrate the accuracy and viability of the classification using a CNN in comparison to sigma intervals.The resulting detection rate of our algorithm is very plausible,thus proving the effectiveness of CNNs in this scientific area.展开更多
The empirical mode decomposition method is used for analyzing the paleoclimate proxy δ18O from Greenland GISP2 ice core.The results show that millennium climate change trends in Greenland record the Medieval Warm Per...The empirical mode decomposition method is used for analyzing the paleoclimate proxy δ18O from Greenland GISP2 ice core.The results show that millennium climate change trends in Greenland record the Medieval Warm Period (MWP) from 860AD-1350AD lasting for about 490 years,and the Little Ice Age (LIA) from 1350AD-1920AD lasting about 570 years.During these events,sub cooling-warming variations occurred.Its multi-scale oscillations changed with quasi-period of 3-year,6.5-year,12-year,24-year,49-year,96-year,213-year and 468-year,and are not only affected by ENSO but also by solar activity.The oscillation of intrinsic mode function IMF7,IMF8 and their tendency obviously appear in 1350AD which is considered as the key stage of transformation between MWP and LIA.The results give more detailed changes and their stages of millennium climate change in high latitude areas of the Northern Hemisphere.展开更多
The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem.
The instability of retaining wall is a key factor for many geo-hazards,such as landslides.To estimate the stability of retaining wall,the distribution of earth pressure is necessary.The results of in-situ observations...The instability of retaining wall is a key factor for many geo-hazards,such as landslides.To estimate the stability of retaining wall,the distribution of earth pressure is necessary.The results of in-situ observations and indoor experiments demonstrate that the distribution of earth pressure behind the retaining wall exhibits remarkable nonlinearity.When the results are analyzed in details,the oscillation and quasi-periodicity of the distribution of earth pressure are observed,which has not been given widely concerns and cannot be described by the existing analytical models.Based on the internal variable gradient theory and operator averaging method,a gradientenhanced softening constitutive model is proposed in this paper to describe the oscillation and quasiperiodicity of the distribution of earth pressure acting on the retaining wall,by introducing the high-order gradient terms of the hydrostatic pressure into Mohr-Coulomb yield condition.In order to check the applicability of the proposed formulation,the predictions from the formulations are compared with the full-scale and laboratory-scale test results as well as the existing formulations.It is noted from the comparisons between predicted and measured values that the results of gradient-dependent softening constitutive model provides the comparable approximations for active earth pressure and describes the oscillation and quasi-periodicity very well.This model may enhance the comprehension of soil mechanics and provide a novel view for the design of the retaining wall.展开更多
基金Natural Science Foundation of China (40675013,40906010)The projects for Science and Technology in Guangdong Province "Pearl River Estuary Monitoring and Early Warning System for Sea Fog"Scientific and Technological Planning Project from Guangdong Province (2006B37202005)
文摘Based on the high-resolution datasets collected in a sea fog field experiment at the northern coast of South China Sea,the variations of liquid water content (LWC) and net longwave radiation flux (NLRF) during two sea fog events on 16th-17th and 18th-19th March,2008 are exaimeed by wavelet analysis,and the cooling mechanisms for fog formation and persistence are also investigated.The main results are shown as follows.(1) Sea fog may develop and persist whether it is cloudy or not aloft.However,when there is cloud aloft the LWC is less and wind speed in sea fog is higher than that in the clear sky.(2) The quasi-periodic oscillations (QPOs) of NLRF are observed in the formation stage of the two fogs.QPOs of LWC are only found in the developing stage no matter with cloudless or cloudy condition.(3) It is likely that sea fog forms by the cooling effects of longwave radiation and develops through the vertical mixing induced by the radiative cooling at the upper level.(4) During sea fog development and persistence,other mechanisms could also play important roles in fog-layer cooling,such as turbulent heat transport and radiation transport between air-sea interfaces.
基金supported by National Natural Science Foundation of China (Grant No.11571327)。
文摘In this paper,we prove the existence of quasi-periodic solutions and the boundedness of all the solutions of the general semilinear quasi-periodic differential equation x′′+ax^(+)-bx^(-)=G_x(x,t)+f (t),where x^(+)=max{x,0},x^(-)=max{-x,0},a and b are two different positive constants,f(t) is C^(39) smooth in t,G(x,t)is C^(35) smooth in x and t,f (t) and G(x,t) are quasi-periodic in t with the Diophantine frequency ω=(ω_(1),ω_(2)),and D_(x)^(i)D_(t)^(j)G(x,t) is bounded for 0≤i+j≤35.
基金supported by the National Natural Science Foundation of China(No.10325103)the Chinese Scholarship Council(No.201206010092)
文摘In this paper, the authors are concerned with the forced isochronous oscillators with a repulsive singularity and a bounded nonlinearity x'' + V'(x) + g(x) = e(t, x, x'),where the assumptions on V, g and e are regular, described precisely in the introduction.Using a variant of Moser's twist theorem of invariant curves, the authors show the existence of quasi-periodic solutions and boundedness of all solutions. This extends the result of Liu to the case of the above system where e depends on the velocity.
基金the National Natural Science Foundation of China(Nos.10772104 and10402018)the Shanghai Leading Academic Discipline Project(No.Y0103)
文摘Dynamical responses, such as motion and destruction of hyper-elastic cylindrical shells subject to periodic or suddenly applied constant load on the inner surface, are studied within a framework of finite elasto-dynamics. By numerical computation and dynamic qualitative analysis of the nonlinear differential equation, it is shown that there exists a certain critical value for the internal load describing motion of the inner surface of the shell. Motion of the shell is nonlinear periodic or quasi-periodic oscillation when the average load of the periodic load or the constant load is less than its critical value. However, the shell will be destroyed when the load exceeds the critical value. Solution to the static equilibrium problem is a fixed point for the dynamical response of the corresponding system under a suddenly applied constant load. The property of fixed point is related to the property of the dynamical solution and motion of the shell. The effects of thickness and load parameters on the critical value and oscillation of the shell are discussed.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10173004, 10373006 and 10121503.
文摘A new approach of detecting the black hole spin in x-ray binaries is proposed based on the model of the coexistence of the Blandford-Znajek （BZ） and magnetic coupling （MC） processes, in which the BZ process is used to power the jet emissions from x-ray binaries, and high frequency quasi-periodic oscillations （QPOs） are explained by a rotating hotspot in the inner region of the accretion disc surrounding a fast-spinning black hole. It is shown that the black hole spins of several x-ray binaries （XTE J1550-564, GRO d1665-40 and GRS 1915＋105） can be constrained in a rather narrow range, provided that QPOs and jets coexist in these sources.
文摘Pattern recognition algorithms are commonly utilized to discover certain patterns,particularly in image-based data.Our study focuses on quasiperiodic oscillations(QPO)in celestial objects referred to as cataclysmic variables(CV).We are dealing with interestingly indistinct QPO signals,which we analyze using a power density spectrum(PDS).The confidence in detecting the latter using certain statistical approaches may come out with less significance than the truth.We work with real and simulated QPO data of a CV called MV Lyrae.Our primary statistical tool for determining confidence levels is sigma intervals.The aforementioned CV has scientifically proven QPO existence,but as indicated by our analysis,the QPO ended up falling below 1-σ,and such QPOs are not noteworthy based on the former approach.We intend to propose and ultimately train a convolutional neural network(CNN)using two types of QPO data with varying amounts of training dataset lengths.We aim to demonstrate the accuracy and viability of the classification using a CNN in comparison to sigma intervals.The resulting detection rate of our algorithm is very plausible,thus proving the effectiveness of CNNs in this scientific area.
基金supported by Doctor's Project Foundation (No. 20060139010) of Education Administration
文摘The empirical mode decomposition method is used for analyzing the paleoclimate proxy δ18O from Greenland GISP2 ice core.The results show that millennium climate change trends in Greenland record the Medieval Warm Period (MWP) from 860AD-1350AD lasting for about 490 years,and the Little Ice Age (LIA) from 1350AD-1920AD lasting about 570 years.During these events,sub cooling-warming variations occurred.Its multi-scale oscillations changed with quasi-period of 3-year,6.5-year,12-year,24-year,49-year,96-year,213-year and 468-year,and are not only affected by ENSO but also by solar activity.The oscillation of intrinsic mode function IMF7,IMF8 and their tendency obviously appear in 1350AD which is considered as the key stage of transformation between MWP and LIA.The results give more detailed changes and their stages of millennium climate change in high latitude areas of the Northern Hemisphere.
文摘The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem.
基金supported by the Beijing Municipal Natural Science Foundation(Grant No.8,222,010)Research Project for Young Scholars of BUCEA(Grant No.X2102080921019)Henan Key Laboratory of Special Protective Materials(Grant No.SZKFKT202102).
文摘The instability of retaining wall is a key factor for many geo-hazards,such as landslides.To estimate the stability of retaining wall,the distribution of earth pressure is necessary.The results of in-situ observations and indoor experiments demonstrate that the distribution of earth pressure behind the retaining wall exhibits remarkable nonlinearity.When the results are analyzed in details,the oscillation and quasi-periodicity of the distribution of earth pressure are observed,which has not been given widely concerns and cannot be described by the existing analytical models.Based on the internal variable gradient theory and operator averaging method,a gradientenhanced softening constitutive model is proposed in this paper to describe the oscillation and quasiperiodicity of the distribution of earth pressure acting on the retaining wall,by introducing the high-order gradient terms of the hydrostatic pressure into Mohr-Coulomb yield condition.In order to check the applicability of the proposed formulation,the predictions from the formulations are compared with the full-scale and laboratory-scale test results as well as the existing formulations.It is noted from the comparisons between predicted and measured values that the results of gradient-dependent softening constitutive model provides the comparable approximations for active earth pressure and describes the oscillation and quasi-periodicity very well.This model may enhance the comprehension of soil mechanics and provide a novel view for the design of the retaining wall.
