High-speed rail(HSR) has formed a networked operational scale in China. Any internal or external disturbance may deviate trains’ operation from the planned schedules, resulting in primary delays or even cascading del...High-speed rail(HSR) has formed a networked operational scale in China. Any internal or external disturbance may deviate trains’ operation from the planned schedules, resulting in primary delays or even cascading delays on a network scale. Studying the delay propagation mechanism could help to improve the timetable resilience in the planning stage and realize cooperative rescheduling for dispatchers. To quickly and effectively predict the spatial-temporal range of cascading delays, this paper proposes a max-plus algebra based delay propagation model considering trains’ operation strategy and the systems’ constraints. A double-layer network based breadth-first search algorithm based on the constraint network and the timetable network is further proposed to solve the delay propagation process for different kinds of emergencies. The proposed model could deal with the delay propagation problem when emergencies occur in sections or stations and is suitable for static emergencies and dynamic emergencies. Case studies show that the proposed algorithm can significantly improve the computational efficiency of the large-scale HSR network. Moreover, the real operational data of China HSR is adopted to verify the proposed model, and the results show that the cascading delays can be timely and accurately inferred, and the delay propagation characteristics under three kinds of emergencies are unfolded.展开更多
A viable strategy for enhancing photovoltaic performance is to comprehend the underlying quantum physical regime of charge transfer in a double quantum dots(DQD) photocell. This work explored the photovoltaic performa...A viable strategy for enhancing photovoltaic performance is to comprehend the underlying quantum physical regime of charge transfer in a double quantum dots(DQD) photocell. This work explored the photovoltaic performance dependent spatially correlated fluctuation in a DQD photocell. The effects of spatially correlated fluctuation on charge transfer and output photovoltaic efficiency were explored in a proposed DQD photocell model. The results revealed that the charge transport process and the time to peak photovoltaic efficiency were both significantly delayed by the spatially correlated fluctuation, while the anti-spatially correlated fluctuation reduced the output peak photovoltaic efficiency. Further results revealed that the delayed response could be suppressed by gap difference and tunneling coefficient within two dots. Subsequent investigation demonstrated that the delayed response was caused by the spatial correlation fluctuation slowing the generative process of noise-induced coherence, which had previously been proven to improve the quantum photovoltaic performance in quantum photocells. And the reduced photovoltaic properties were verified by the damaged noise-induced coherence owing to the anti-spatial correlation fluctuation and a hotter thermal ambient environment. The discovery of delayed response generated by the spatially correlated fluctuations will deepen the understanding of quantum features of electron transfer, as well as promises to take our understanding even further concerning quantum techniques for high efficiency DQD solar cells.展开更多
BACKGROUND Currently,open reduction internal fixation is the conventional surgical method for treatment of double ulna and radius fracture.However,open reduction is associated with a high risk of complications.This ca...BACKGROUND Currently,open reduction internal fixation is the conventional surgical method for treatment of double ulna and radius fracture.However,open reduction is associated with a high risk of complications.This case of forearm double fracture involved a patient treated using an Acumed intramedullary nail.The patient experienced good follow-up outcomes.The Acumed forearm intramedullary nail enables early functional exercise and hastens healing of the fracture.Few studies have reported on the use of this approach for the treatment of fractures.CASE SUMMARY A 23-year-old male patient was admitted to hospital after 5 h of pain,swelling,and limited activity of left forearm caused by a careless fall.Physical examination showed stable basic vital signs,swelling of the left forearm,and severe pain when pressing on the injured part of the forearm.Further,friction was felt at the broken end of the bone;the skin was not punctured.Movement of the left hand was normal,and the left radial artery pulse was normal.Three-dimensional computed tomography examination showed an ulna fracture of the left forearm and comminuted fracture of the radius.The fracture was located in the upper third of the radius,with significant displacement on the fracture side.Clinical diagnosis further confirmed the left radius comminuted fracture and ulna fracture.After analyzing the fracture pattern,age,and other patient characteristics,we chose an Acumed nail for treatment and achieved good follow-up outcomes.CONCLUSION Acumed forearm intramedullary nail for fixation of ulna and radius fracture reduced complication risk and resulted in good follow-up outcomes.展开更多
The bifurcation of a periodic solution for a delay differential equation related to optical bistability has been discussed analytically.Using the theory of retarded functional differential equations,we have proved tha...The bifurcation of a periodic solution for a delay differential equation related to optical bistability has been discussed analytically.Using the theory of retarded functional differential equations,we have proved that it follows precisely the period-doubling route.展开更多
As a sampling technique for CCD output video signal, the correlated double sampling(CDS) technique is described as well as the filtering effects of the CDS technique on the output noise of CCD including the reset nois...As a sampling technique for CCD output video signal, the correlated double sampling(CDS) technique is described as well as the filtering effects of the CDS technique on the output noise of CCD including the reset noise of CCD, the white noise of output amplifier and 1/f noise. From real application of CDS device——TH7982A, it is concluded that the output signal-to-noise ratio of 50dB for CCD signal can be obtained.展开更多
The small-world network model represented by a set of evolution equations with time delay is used to investigate the nonlinear dynamics of networks,and the nature of instability phenomena in traffic,namely,congestion ...The small-world network model represented by a set of evolution equations with time delay is used to investigate the nonlinear dynamics of networks,and the nature of instability phenomena in traffic,namely,congestion and bursting in the networks,are studied and explained from bifurcation analysis.Then,the governing equation in the vector field is further reduced into a map,and the ensuing period-doubling bifurcation,sequence of perioddoubling bifurcation and period-3 are studied intuitively.The existence of chaos is verified numerically.In particular,the influences of time delay on the nonlinear dynamics are presented.The results show that there are a rich variety of nonlinear dynamics related to the intermittency of the traffic flows in the system,and the results can gain a fundamental understanding of the instability in the networks,and the time delay can be used as a key parameter in the control of the systems.展开更多
In this paper, the incremental harmonic balance method is employed to solve the periodic solution that a vibration active control system with double time delays generates, and the stability analysis of which is achiev...In this paper, the incremental harmonic balance method is employed to solve the periodic solution that a vibration active control system with double time delays generates, and the stability analysis of which is achieved by the Poincare theorem. The system stability regions can be obtained in view of time delay and feedback gain, the variation of which is also studied. It turns out that along with the increase of time delay, the active control system is not always from stable to unstable, and the system can be from stable to unstable state, whereas the system can be from unstable to stable state. The extent that the two times delays impact to the relative magnitude of the two feedback gains. the condition of the well-matched feedback gains. control strategy of time-delayed feedback.展开更多
An analytical method is introduced to investigate double Hopf bifurcations induced by two delays qualitatively and quantitatively.As an illustrative example,the clear procedure is demonstrated to study delay-induced w...An analytical method is introduced to investigate double Hopf bifurcations induced by two delays qualitatively and quantitatively.As an illustrative example,the clear procedure is demonstrated to study delay-induced weak resonant double Hopf bifurcation in a nonlinear system with multiple delays.When two delays are close to double Hopf bifurcation point,all solutions derived from the bifurcation are classified qualitatively and expressed explicitly.Numerical simulations are a good agreement with our theoretical analysis,and also already work in references.The results show that our work in this paper proposes a simple and valid method for investigating delay-induced double Hopf bifurcations.The important feature of our work is that the explicit expression of periodic solutions is easy to be obtained by solving algebraic equations.展开更多
An HIV infection model with saturated infection rate and double delays is investigated. First, the existence of the infection-free equilibrium E0, the immune-exhausted equilibrium E1 and the infected equilibrium E2 wi...An HIV infection model with saturated infection rate and double delays is investigated. First, the existence of the infection-free equilibrium E0, the immune-exhausted equilibrium E1 and the infected equilibrium E2 with immunity in different conditions is shown. By analyzing the characteristic equation, we study the locally asymptotical stability of the trivial equilibrium, and the existence of Hopf bifurcations when two delays are used as the bifurcation parameter. Furthermore, we apply the Nyquist criterion to estimate the length of delay for which stability continues to hold. Then with suitable Lyapunov function and LaSalle's invariance principle, the global stability of the three equilibriums is obtained. Finally, numerical simulations are presented to illustrate the main mathematical results.展开更多
With the classical ensemble model, we investigate nonsequential double ionization (NSDI) of xenon atoms using 780 nm, 0.25 PW/cm2 elliptically polarized few-cycle laser pulses. The momentum distribution of correlate...With the classical ensemble model, we investigate nonsequential double ionization (NSDI) of xenon atoms using 780 nm, 0.25 PW/cm2 elliptically polarized few-cycle laser pulses. The momentum distribution of correlated electron along the long axis o~ the laser polarization plane shows an obvious V-like structure locating at the third quadrant, and the momentum along the short axis of the laser polarization plane are mainly distributed in the second and fourth quadrants. Moreover, we demonstrate that the Coulomb repulsion interaction plays a decisive role to the above results. By back analyzing the class/ca/ trajectories of NSDI, we find that there are two kinds of recollision trajectories mainly contribute to NSDI, and the different microscopic dynamics for the two kinds of trajectories are clearly explored.展开更多
Helicene-based emitters with unique inherent circularly polarized luminescence(CPL)are promising yet remain a formidable challenge for highly efficient circularly polarized organic light-emitting diodes(CP-OLEDs),ascr...Helicene-based emitters with unique inherent circularly polarized luminescence(CPL)are promising yet remain a formidable challenge for highly efficient circularly polarized organic light-emitting diodes(CP-OLEDs),ascribed to their tough synthesis,low emission efficiency,and easy racemization in the thermal deposition process.Herein,a pair of helicenebased enantiomers,namely(P)-helicene-BN and(M)-helicene-BN,were developed,which merge helical chirality and the B/N/S inserted polycyclic aromatic framework to concurrently feature CPL and narrow thermally activated delayed fluorescence(TADF)characteristics.Benefiting from the excellent thermal/photophysical/chiroptical properties,the narrowband green CP-OLEDs based on enantiomers achieved maximum external quantum efficiencies(EQE_(max))of up to 31.5%,and dissymmetry factor(|g_(EL)|)of 2.2×10^(−3).This work reveals the great potential of helicene-based emitters in CP-OLEDs.展开更多
In this paper, we study dynamics in a predator-prey model with delay, in which predator can be infected, with particular attention focused on nonresonant double Hopf bifurca- tion. By using center manifold reduction m...In this paper, we study dynamics in a predator-prey model with delay, in which predator can be infected, with particular attention focused on nonresonant double Hopf bifurca- tion. By using center manifold reduction methods, we obtain the equivalent normal forms near a double Hopf critical point in this system. Moreover, bifurcations are classified in a two-dimensional parameter space near the critical point. Numerical simulations are presented to demonstrate the applicability of the theoretical results.展开更多
基金supported by the National Natural Science Foundation of China (U1834211, 61925302, 62103033)the Open Research Fund of the State Key Laboratory for Management and Control of Complex Systems (20210104)。
文摘High-speed rail(HSR) has formed a networked operational scale in China. Any internal or external disturbance may deviate trains’ operation from the planned schedules, resulting in primary delays or even cascading delays on a network scale. Studying the delay propagation mechanism could help to improve the timetable resilience in the planning stage and realize cooperative rescheduling for dispatchers. To quickly and effectively predict the spatial-temporal range of cascading delays, this paper proposes a max-plus algebra based delay propagation model considering trains’ operation strategy and the systems’ constraints. A double-layer network based breadth-first search algorithm based on the constraint network and the timetable network is further proposed to solve the delay propagation process for different kinds of emergencies. The proposed model could deal with the delay propagation problem when emergencies occur in sections or stations and is suitable for static emergencies and dynamic emergencies. Case studies show that the proposed algorithm can significantly improve the computational efficiency of the large-scale HSR network. Moreover, the real operational data of China HSR is adopted to verify the proposed model, and the results show that the cascading delays can be timely and accurately inferred, and the delay propagation characteristics under three kinds of emergencies are unfolded.
基金the National Natural Science Foundation of China (Grant Nos. 62065009 and 61565008)Yunnan Fundamental Research Projects, China (Grant No. 2016FB009)。
文摘A viable strategy for enhancing photovoltaic performance is to comprehend the underlying quantum physical regime of charge transfer in a double quantum dots(DQD) photocell. This work explored the photovoltaic performance dependent spatially correlated fluctuation in a DQD photocell. The effects of spatially correlated fluctuation on charge transfer and output photovoltaic efficiency were explored in a proposed DQD photocell model. The results revealed that the charge transport process and the time to peak photovoltaic efficiency were both significantly delayed by the spatially correlated fluctuation, while the anti-spatially correlated fluctuation reduced the output peak photovoltaic efficiency. Further results revealed that the delayed response could be suppressed by gap difference and tunneling coefficient within two dots. Subsequent investigation demonstrated that the delayed response was caused by the spatial correlation fluctuation slowing the generative process of noise-induced coherence, which had previously been proven to improve the quantum photovoltaic performance in quantum photocells. And the reduced photovoltaic properties were verified by the damaged noise-induced coherence owing to the anti-spatial correlation fluctuation and a hotter thermal ambient environment. The discovery of delayed response generated by the spatially correlated fluctuations will deepen the understanding of quantum features of electron transfer, as well as promises to take our understanding even further concerning quantum techniques for high efficiency DQD solar cells.
文摘BACKGROUND Currently,open reduction internal fixation is the conventional surgical method for treatment of double ulna and radius fracture.However,open reduction is associated with a high risk of complications.This case of forearm double fracture involved a patient treated using an Acumed intramedullary nail.The patient experienced good follow-up outcomes.The Acumed forearm intramedullary nail enables early functional exercise and hastens healing of the fracture.Few studies have reported on the use of this approach for the treatment of fractures.CASE SUMMARY A 23-year-old male patient was admitted to hospital after 5 h of pain,swelling,and limited activity of left forearm caused by a careless fall.Physical examination showed stable basic vital signs,swelling of the left forearm,and severe pain when pressing on the injured part of the forearm.Further,friction was felt at the broken end of the bone;the skin was not punctured.Movement of the left hand was normal,and the left radial artery pulse was normal.Three-dimensional computed tomography examination showed an ulna fracture of the left forearm and comminuted fracture of the radius.The fracture was located in the upper third of the radius,with significant displacement on the fracture side.Clinical diagnosis further confirmed the left radius comminuted fracture and ulna fracture.After analyzing the fracture pattern,age,and other patient characteristics,we chose an Acumed nail for treatment and achieved good follow-up outcomes.CONCLUSION Acumed forearm intramedullary nail for fixation of ulna and radius fracture reduced complication risk and resulted in good follow-up outcomes.
文摘The bifurcation of a periodic solution for a delay differential equation related to optical bistability has been discussed analytically.Using the theory of retarded functional differential equations,we have proved that it follows precisely the period-doubling route.
文摘As a sampling technique for CCD output video signal, the correlated double sampling(CDS) technique is described as well as the filtering effects of the CDS technique on the output noise of CCD including the reset noise of CCD, the white noise of output amplifier and 1/f noise. From real application of CDS device——TH7982A, it is concluded that the output signal-to-noise ratio of 50dB for CCD signal can be obtained.
基金Supported the National Basic Research Program of China under Grant No 2012CB026002.
文摘The small-world network model represented by a set of evolution equations with time delay is used to investigate the nonlinear dynamics of networks,and the nature of instability phenomena in traffic,namely,congestion and bursting in the networks,are studied and explained from bifurcation analysis.Then,the governing equation in the vector field is further reduced into a map,and the ensuing period-doubling bifurcation,sequence of perioddoubling bifurcation and period-3 are studied intuitively.The existence of chaos is verified numerically.In particular,the influences of time delay on the nonlinear dynamics are presented.The results show that there are a rich variety of nonlinear dynamics related to the intermittency of the traffic flows in the system,and the results can gain a fundamental understanding of the instability in the networks,and the time delay can be used as a key parameter in the control of the systems.
基金supported by the National Natural Science Foundation of China(11172226)
文摘In this paper, the incremental harmonic balance method is employed to solve the periodic solution that a vibration active control system with double time delays generates, and the stability analysis of which is achieved by the Poincare theorem. The system stability regions can be obtained in view of time delay and feedback gain, the variation of which is also studied. It turns out that along with the increase of time delay, the active control system is not always from stable to unstable, and the system can be from stable to unstable state, whereas the system can be from unstable to stable state. The extent that the two times delays impact to the relative magnitude of the two feedback gains. the condition of the well-matched feedback gains. control strategy of time-delayed feedback.
基金supported by the National Natural Science Foundation of China(Grant Nos.11872175,11572224,61603125 and 21130010)Young Talents Fund of Henan University of Economics and Law+1 种基金National Key Project Cultivation Project of Henan University of Economics and LawKey Research Project of Higher Education Institutions of Henan Province(Grant No.18A110003)。
文摘An analytical method is introduced to investigate double Hopf bifurcations induced by two delays qualitatively and quantitatively.As an illustrative example,the clear procedure is demonstrated to study delay-induced weak resonant double Hopf bifurcation in a nonlinear system with multiple delays.When two delays are close to double Hopf bifurcation point,all solutions derived from the bifurcation are classified qualitatively and expressed explicitly.Numerical simulations are a good agreement with our theoretical analysis,and also already work in references.The results show that our work in this paper proposes a simple and valid method for investigating delay-induced double Hopf bifurcations.The important feature of our work is that the explicit expression of periodic solutions is easy to be obtained by solving algebraic equations.
基金This work was supported by National Natural Science Foundation of China (61174209, 11471034).
文摘An HIV infection model with saturated infection rate and double delays is investigated. First, the existence of the infection-free equilibrium E0, the immune-exhausted equilibrium E1 and the infected equilibrium E2 with immunity in different conditions is shown. By analyzing the characteristic equation, we study the locally asymptotical stability of the trivial equilibrium, and the existence of Hopf bifurcations when two delays are used as the bifurcation parameter. Furthermore, we apply the Nyquist criterion to estimate the length of delay for which stability continues to hold. Then with suitable Lyapunov function and LaSalle's invariance principle, the global stability of the three equilibriums is obtained. Finally, numerical simulations are presented to illustrate the main mathematical results.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11005088and11047145the Basic and Advanced Technology of Henan Province of China under Grant Nos.102300410241and112300410021the Scientific Research Foundation of Education Department of Henan Province of China under Grant Nos.2011B140018and13A140774
文摘With the classical ensemble model, we investigate nonsequential double ionization (NSDI) of xenon atoms using 780 nm, 0.25 PW/cm2 elliptically polarized few-cycle laser pulses. The momentum distribution of correlated electron along the long axis o~ the laser polarization plane shows an obvious V-like structure locating at the third quadrant, and the momentum along the short axis of the laser polarization plane are mainly distributed in the second and fourth quadrants. Moreover, we demonstrate that the Coulomb repulsion interaction plays a decisive role to the above results. By back analyzing the class/ca/ trajectories of NSDI, we find that there are two kinds of recollision trajectories mainly contribute to NSDI, and the different microscopic dynamics for the two kinds of trajectories are clearly explored.
基金This work was supported by the National Natural Science Foundation of China(grant nos.52130308,51903160,and 52022071)Shenzhen Science and Technology Program(grant no.KQTD20170330110107046)the Shenzhen Technology and Innovation Commission(grant no.JCYJ20180507182244027).
文摘Helicene-based emitters with unique inherent circularly polarized luminescence(CPL)are promising yet remain a formidable challenge for highly efficient circularly polarized organic light-emitting diodes(CP-OLEDs),ascribed to their tough synthesis,low emission efficiency,and easy racemization in the thermal deposition process.Herein,a pair of helicenebased enantiomers,namely(P)-helicene-BN and(M)-helicene-BN,were developed,which merge helical chirality and the B/N/S inserted polycyclic aromatic framework to concurrently feature CPL and narrow thermally activated delayed fluorescence(TADF)characteristics.Benefiting from the excellent thermal/photophysical/chiroptical properties,the narrowband green CP-OLEDs based on enantiomers achieved maximum external quantum efficiencies(EQE_(max))of up to 31.5%,and dissymmetry factor(|g_(EL)|)of 2.2×10^(−3).This work reveals the great potential of helicene-based emitters in CP-OLEDs.
文摘In this paper, we study dynamics in a predator-prey model with delay, in which predator can be infected, with particular attention focused on nonresonant double Hopf bifurca- tion. By using center manifold reduction methods, we obtain the equivalent normal forms near a double Hopf critical point in this system. Moreover, bifurcations are classified in a two-dimensional parameter space near the critical point. Numerical simulations are presented to demonstrate the applicability of the theoretical results.