The synchronization and asynchronization of two coupled excitable systems are investigated. The two systems with different initial configurations, which are separately a single spiral wave (or a travel wave) and the r...The synchronization and asynchronization of two coupled excitable systems are investigated. The two systems with different initial configurations, which are separately a single spiral wave (or a travel wave) and the rest state, can be developed to the synchronizing state with the same spiral wave (or travel wave) in each system, when the coupling is very strong. Decreasing the coupling intensity, two rest states or two different configurations appear in the two systems. The qualitative analysis and interpretation are given.展开更多
In this paper, the decomposition of SU(2) gauge potential in terms of Pauli spinor is studied. Using this decomposition, the spinor structures of Chern Simons form and the Chern density are obtained. Furthermore, the ...In this paper, the decomposition of SU(2) gauge potential in terms of Pauli spinor is studied. Using this decomposition, the spinor structures of Chern Simons form and the Chern density are obtained. Furthermore, the knot quantum number of non-Abelian gauge theory can be expressed by the Chern-Simons spinor structure, and the second Chern number is characterized by the Hopf indices and the Brouwer degrees of Φ-mapping.展开更多
Let G be a locally compact Vilenkin gro up . We will establish the boundedness in Morrey spaces L p,λ (G) for a la rge class of sublinear operators and linear commutators.
The self-absorption of γ-ray emitted from cylindrical fissile materials, such as 235 U and 239 Pu, does not possess spherical symmetry. The analytical formulae of self-absorption for γ-ray throughout the cylinder ha...The self-absorption of γ-ray emitted from cylindrical fissile materials, such as 235 U and 239 Pu, does not possess spherical symmetry. The analytical formulae of self-absorption for γ-ray throughout the cylinder have been obtained. The intensity of γ-ray is a function of γ-ray outgoing directions and cylindrical configurations, accordingly one can acquire the information about geometrical configuration of cylindrical fissile materials through multi-location measurements. Further more, the method is given in this article. The result can be applied to the fissile material safe- guard, such as nuclear monitoring and verifying.展开更多
Monte Carlo simulation has become an important tool for estimating the reliability andavailability of dynamic system, since conventional numerical methods are no longer efficient whenthe size of the system to solve is...Monte Carlo simulation has become an important tool for estimating the reliability andavailability of dynamic system, since conventional numerical methods are no longer efficient whenthe size of the system to solve is large. However, evaluating by a simulation the probability of oc-currence of very rare events means playing a very large number of histories of the system, whichleads to unacceptable computing time. Highly efficient Monte Carlo should be worked out. In thispaper, based on the integral equation describing state transitions of Markov dynamic system, a u-niform Monte Carlo for estimating unavailability is presented. Using free-flight estimator, directstatistical estimation Monte Carlo is achieved. Using both free-flight estimator and biased proba-bility space of sampling, weighted statistical estimation Monte Carlo is also achieved. Five MonteCarlo schemes, including crude simulation, analog simulation, statistical estimation based oncrude and analog simulation, and weighted statistical estimation, are used for calculating the un-availability of a repairable Con/3/30 : F system. Their efficiencies are compared with each other.The results show the weighted statistical estimation Monte Carlo has the smallest variance and thehighest efficiency in very rare events simulation.展开更多
The transport of a spatially periodic system with infinite globally coupled oscillators driven by temporalspatial noises is investigated. The probability current shows that the correlation of the multiplicative noises...The transport of a spatially periodic system with infinite globally coupled oscillators driven by temporalspatial noises is investigated. The probability current shows that the correlation of the multiplicative noises with the space, the spatial asymmetry, and the coupling among the different oscillators are ingredients for the transport of particles. It is a new phenomenon that the correlation of the multiplicative noises with the space can induce the nonzero flux.展开更多
In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2...In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2+1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately.展开更多
Based on the detailed configuration accounting (DCA) model, a method is developed to include the resonant photoionization and the excitation-autoionization in the non-local thermodynamical equilibrium (NLTE) average a...Based on the detailed configuration accounting (DCA) model, a method is developed to include the resonant photoionization and the excitation-autoionization in the non-local thermodynamical equilibrium (NLTE) average atom (AA) model. Using this new model, the mean charge states and the opacity are calculated for NLTE high- plasmas and compared with other results. The agreement with AA model is poor at low electron density. The present results agree well with those of DCA model within 10%. The calculations show that the NLTE effects on opacity are strong.展开更多
Polycarbonate foil stacks were irradiated with 2.1 GeV Kr ions under vacuum at room temperature.The modifications in chemical structure induced by the irradiation were studied by means of Fourier transform infra-red (...Polycarbonate foil stacks were irradiated with 2.1 GeV Kr ions under vacuum at room temperature.The modifications in chemical structure induced by the irradiation were studied by means of Fourier transform infra-red (FTIR) and ultraviolet visible (UV/VIS) spectroscopies. FTIR measurements reveal that material degradationsthrough bond breaking are the main effects. Alkyne end groups are produced by the irradiation. UV/VIS measure-ments indicate a shifting of the absorption edge from ultraviolet towards visible, and a strong increase of absorbancein the ultraviolet and visible regions. The changes in absorbance induced by the irradiation at wavelengths of 380 nm,450 nm and 500 nm scale well with Sne (Se is electronic energy loss) where the value of n increases from 1.69 to 2.02with increasing of the wavelength. The results are briefly discussed.展开更多
In this paper, we consider three kinds of temporal-spatial dichotomous noises. Three systems driven by these noises are studied, respectively. The master equations for these systems are derived.
We consider the transport of particles for spatially periodic system with infinite locally coupled oscillators dirven by additive and multiplicative noises.A formula of the probability current derived by us shows that...We consider the transport of particles for spatially periodic system with infinite locally coupled oscillators dirven by additive and multiplicative noises.A formula of the probability current derived by us shows that the coupling among the infinite oscillators is an ingredinent for transport.This coupling of the oscillators can induce transport of particles in the absence of the correlation of the additive and multiplicative noises,even without the multiplicative noise.展开更多
A model is developed to calculate emission spectrum of non-local thermodynamic equilibrium(NLTE) plasmas. The Collisional-Radiative model is adopted for non-LTE population calculations. Configuration-averaged rate coe...A model is developed to calculate emission spectrum of non-local thermodynamic equilibrium(NLTE) plasmas. The Collisional-Radiative model is adopted for non-LTE population calculations. Configuration-averaged rate coefficients that needed in the rate equations are obtained based on the first order perturbation theory. The Hatree-Fock-Slater self-consistent-field method is used to calculate electron wave functions. The present model is applied to the calculation of emissivity from a Ar plasma. The features of the spectra are in good agreement with those calculated by other theoretical models, but the data of the integrated emissivity differ by a factor 2～8.展开更多
We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensionalHamiltonian systems. The method has the advantages that the controlled system remains conservative property and these...We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensionalHamiltonian systems. The method has the advantages that the controlled system remains conservative property and theselection of the perturbation has a considerable diversity. We illustrate this method with two area preserving maps: thenon-monotonic twist map which is a mixed system and the perturbed cat map which exhibits hard chaos. Numericalresults show that the strong chaos can be effectively controlled into regular motions, and the final states are alwaysquasiperiodic ones. The method is robust against the presence of weak external noise.展开更多
Measure synchronization in coupled Hamiltonian systems is a novel synchronization phenomenon. The measure synchronization on symplectic map is observed numerically, for identical coupled systems with different paramet...Measure synchronization in coupled Hamiltonian systems is a novel synchronization phenomenon. The measure synchronization on symplectic map is observed numerically, for identical coupled systems with different parameters. We have found the properties of the characteristic frequency and the amplitude of phase locking in regular motion when the measure synchronization of coupled systems is obtained. The relations between the change of the largest Lyapunov exponent and the course of phase desynchronization are also discussed in coupled systems, some useful results are obtained. A new approach is proposed for describing the measure synchronization of coupled systems numerically,which is advantage in judging the measure synchronization, especially for the coupled systems in nonregular region.展开更多
We have studied a modified Frenkel-Kontorova (FK) model with alternant coupling potential. From it, we obtain a coupling conservative map, it shows that the gold-mean number is not the last broken winding number, and ...We have studied a modified Frenkel-Kontorova (FK) model with alternant coupling potential. From it, we obtain a coupling conservative map, it shows that the gold-mean number is not the last broken winding number, and the broken critical value is varied with the variance of strength of spire. The phase diagram becomes asymmetric in a period. The Devil's staircase and generalized dimension are different from those of the standard FK model.PACS numbers: 64.60.Fr, 05.70.Fh, 05.70.展开更多
基金国家重点基础研究发展计划(973计划)，国家自然科学基金，the Innovation Funds for Laser Technology，国家自然科学基金，the Science Foundation of the China Academy of Engineering Physics
文摘The synchronization and asynchronization of two coupled excitable systems are investigated. The two systems with different initial configurations, which are separately a single spiral wave (or a travel wave) and the rest state, can be developed to the synchronizing state with the same spiral wave (or travel wave) in each system, when the coupling is very strong. Decreasing the coupling intensity, two rest states or two different configurations appear in the two systems. The qualitative analysis and interpretation are given.
文摘In this paper, the decomposition of SU(2) gauge potential in terms of Pauli spinor is studied. Using this decomposition, the spinor structures of Chern Simons form and the Chern density are obtained. Furthermore, the knot quantum number of non-Abelian gauge theory can be expressed by the Chern-Simons spinor structure, and the second Chern number is characterized by the Hopf indices and the Brouwer degrees of Φ-mapping.
文摘Let G be a locally compact Vilenkin gro up . We will establish the boundedness in Morrey spaces L p,λ (G) for a la rge class of sublinear operators and linear commutators.
文摘The self-absorption of γ-ray emitted from cylindrical fissile materials, such as 235 U and 239 Pu, does not possess spherical symmetry. The analytical formulae of self-absorption for γ-ray throughout the cylinder have been obtained. The intensity of γ-ray is a function of γ-ray outgoing directions and cylindrical configurations, accordingly one can acquire the information about geometrical configuration of cylindrical fissile materials through multi-location measurements. Further more, the method is given in this article. The result can be applied to the fissile material safe- guard, such as nuclear monitoring and verifying.
文摘Monte Carlo simulation has become an important tool for estimating the reliability andavailability of dynamic system, since conventional numerical methods are no longer efficient whenthe size of the system to solve is large. However, evaluating by a simulation the probability of oc-currence of very rare events means playing a very large number of histories of the system, whichleads to unacceptable computing time. Highly efficient Monte Carlo should be worked out. In thispaper, based on the integral equation describing state transitions of Markov dynamic system, a u-niform Monte Carlo for estimating unavailability is presented. Using free-flight estimator, directstatistical estimation Monte Carlo is achieved. Using both free-flight estimator and biased proba-bility space of sampling, weighted statistical estimation Monte Carlo is also achieved. Five MonteCarlo schemes, including crude simulation, analog simulation, statistical estimation based oncrude and analog simulation, and weighted statistical estimation, are used for calculating the un-availability of a repairable Con/3/30 : F system. Their efficiencies are compared with each other.The results show the weighted statistical estimation Monte Carlo has the smallest variance and thehighest efficiency in very rare events simulation.
文摘The transport of a spatially periodic system with infinite globally coupled oscillators driven by temporalspatial noises is investigated. The probability current shows that the correlation of the multiplicative noises with the space, the spatial asymmetry, and the coupling among the different oscillators are ingredients for the transport of particles. It is a new phenomenon that the correlation of the multiplicative noises with the space can induce the nonzero flux.
文摘In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2+1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately.
文摘Based on the detailed configuration accounting (DCA) model, a method is developed to include the resonant photoionization and the excitation-autoionization in the non-local thermodynamical equilibrium (NLTE) average atom (AA) model. Using this new model, the mean charge states and the opacity are calculated for NLTE high- plasmas and compared with other results. The agreement with AA model is poor at low electron density. The present results agree well with those of DCA model within 10%. The calculations show that the NLTE effects on opacity are strong.
基金the Foundation of the Chinese Academy of Sciences(KJ952-S1-423)and Xibuzhiguang
文摘Polycarbonate foil stacks were irradiated with 2.1 GeV Kr ions under vacuum at room temperature.The modifications in chemical structure induced by the irradiation were studied by means of Fourier transform infra-red (FTIR) and ultraviolet visible (UV/VIS) spectroscopies. FTIR measurements reveal that material degradationsthrough bond breaking are the main effects. Alkyne end groups are produced by the irradiation. UV/VIS measure-ments indicate a shifting of the absorption edge from ultraviolet towards visible, and a strong increase of absorbancein the ultraviolet and visible regions. The changes in absorbance induced by the irradiation at wavelengths of 380 nm,450 nm and 500 nm scale well with Sne (Se is electronic energy loss) where the value of n increases from 1.69 to 2.02with increasing of the wavelength. The results are briefly discussed.
文摘In this paper, we consider three kinds of temporal-spatial dichotomous noises. Three systems driven by these noises are studied, respectively. The master equations for these systems are derived.
文摘We consider the transport of particles for spatially periodic system with infinite locally coupled oscillators dirven by additive and multiplicative noises.A formula of the probability current derived by us shows that the coupling among the infinite oscillators is an ingredinent for transport.This coupling of the oscillators can induce transport of particles in the absence of the correlation of the additive and multiplicative noises,even without the multiplicative noise.
文摘A model is developed to calculate emission spectrum of non-local thermodynamic equilibrium(NLTE) plasmas. The Collisional-Radiative model is adopted for non-LTE population calculations. Configuration-averaged rate coefficients that needed in the rate equations are obtained based on the first order perturbation theory. The Hatree-Fock-Slater self-consistent-field method is used to calculate electron wave functions. The present model is applied to the calculation of emissivity from a Ar plasma. The features of the spectra are in good agreement with those calculated by other theoretical models, but the data of the integrated emissivity differ by a factor 2～8.
基金国家自然科学基金，Science Foundation of China Academy of Engineering Physics under Grant
文摘We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensionalHamiltonian systems. The method has the advantages that the controlled system remains conservative property and theselection of the perturbation has a considerable diversity. We illustrate this method with two area preserving maps: thenon-monotonic twist map which is a mixed system and the perturbed cat map which exhibits hard chaos. Numericalresults show that the strong chaos can be effectively controlled into regular motions, and the final states are alwaysquasiperiodic ones. The method is robust against the presence of weak external noise.
基金国家重点基础研究发展计划(973计划)，国家自然科学基金，the Innovation Funds for Laser Technology
文摘Measure synchronization in coupled Hamiltonian systems is a novel synchronization phenomenon. The measure synchronization on symplectic map is observed numerically, for identical coupled systems with different parameters. We have found the properties of the characteristic frequency and the amplitude of phase locking in regular motion when the measure synchronization of coupled systems is obtained. The relations between the change of the largest Lyapunov exponent and the course of phase desynchronization are also discussed in coupled systems, some useful results are obtained. A new approach is proposed for describing the measure synchronization of coupled systems numerically,which is advantage in judging the measure synchronization, especially for the coupled systems in nonregular region.
基金National Natural Science Foundation of China，国家攀登计划
文摘We have studied a modified Frenkel-Kontorova (FK) model with alternant coupling potential. From it, we obtain a coupling conservative map, it shows that the gold-mean number is not the last broken winding number, and the broken critical value is varied with the variance of strength of spire. The phase diagram becomes asymmetric in a period. The Devil's staircase and generalized dimension are different from those of the standard FK model.PACS numbers: 64.60.Fr, 05.70.Fh, 05.70.
