The classical Lotka-Volterra （LV） model is a well-known mathematical model for prey-predator ecosystems. In the present paper, the pulse-type version of stochastic LV model, in which the effect of a random natural e...The classical Lotka-Volterra （LV） model is a well-known mathematical model for prey-predator ecosystems. In the present paper, the pulse-type version of stochastic LV model, in which the effect of a random natural environment has been modeled as Poisson white noise, is in- vestigated by using the stochastic averaging method. The averaged generalized It6 stochastic differential equation and Fokkerlanck-Kolmogorov （FPK） equation are derived for prey-predator ecosystem driven by Poisson white noise. Approximate stationary solution for the averaged generalized FPK equation is obtained by using the perturbation method. The effect of prey self-competition parameter e2s on ecosystem behavior is evaluated. The analytical result is confirmed by corresponding Monte Carlo （MC） simulation.展开更多
The analytic perturbation solutions to the motions of a planetary orbiter given in this paper are effective for 0e1, where e is the orbital eccentricity of the orbiter. In the solution, it is assumed that the rotation...The analytic perturbation solutions to the motions of a planetary orbiter given in this paper are effective for 0e1, where e is the orbital eccentricity of the orbiter. In the solution, it is assumed that the rotation of the central body is slow, and its astronomical background is clear. Examples for such planets in the solar system are Venus and Mercury. The perturbation solution is tested numerically on two Venusian orbiters with eccentric orbits, PVO and Magellan, and found to be effective.展开更多
利用2008—2012年台站资料、NCEP(National Centers for Environ-mental Prediction)-FNL(Final Operational Global Analysis)1°×1°再分析资料,将近5年经过渤海持续发展的黄河气旋分为夏季型和春季型,采用动态合成法对...利用2008—2012年台站资料、NCEP(National Centers for Environ-mental Prediction)-FNL(Final Operational Global Analysis)1°×1°再分析资料,将近5年经过渤海持续发展的黄河气旋分为夏季型和春季型,采用动态合成法对两类气旋的结构和黄渤海海域的热力、动力、水汽等影响因子进行对比分析。结果表明:经过渤海时,夏季型气旋主要伴随大范围的强降水,而春季型气旋主要形成强风区。春夏季黄河气旋均为冷暖交汇的斜压性结构,但夏季型有偏暖中心,斜压性弱于春季型。春季高空急流位于气旋南部,其左侧正涡度区维持气旋的深厚,且气旋后部高空动量下传与锋面二级环流及平坦海面配合有利于气旋低层大风迅速增强。夏季高空急流位于气旋北部,高空强辐散区和低层辐合区配置加强了气旋中的上升运动,有利于气旋强降水和凝结潜热释放。气旋发展阶段,扰动位能向动能的转化,支持气旋动能的维持与加强。湿位涡计算显示,夏季气旋中有深厚的干空气下沉,干湿梯度强,尺度大,有利于气旋的强降水,春季气旋中干湿梯度小,分布零散,对应降水强度和范围均小。黄渤海为气旋主要水汽输送通道,夏季海温相对春季高,水汽充沛,春季水汽辐合量仅为夏季三分之一。海洋下垫面作用对春季气旋影响大,在夏季作用不明显。夏季海面潜热加热影响为主,春季感热加热影响明显。展开更多
Most of previous work on applying the conformal group to quantum fields has emphasized its invariant aspects, whereas in this paper we find that the conformal group can give us running quantum fields, with some consta...Most of previous work on applying the conformal group to quantum fields has emphasized its invariant aspects, whereas in this paper we find that the conformal group can give us running quantum fields, with some constants, vertex and Green functions running, compatible with the scaling properties of renormalization group method （RGM）. We start with the renormalization group equation （RGE）, in which the differential operator happens to be a generator of the conformal group, named dilatation operator. In addition we link the operator/spatial representation and unitary/spinor representation of the conformal group by inquiring a conformal-invariant interaction vertex mimicking the similar process of Lorentz transformation applied to Dirac equation. By this kind of application, we find out that quite a few interaction vertices are separately invaxiant under certain transformations （generators） of the conformal group. The significance of these transformations and vertices is explained. Using a particular generator of the conformal group, we suggest a new equation analogous to RGE which may lead a system to evolve from asymptotic regime to nonperturbative regime, in contrast to the effect of the conventional RGE from nonperturbative regime to asymptotic regime.展开更多
We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix.The efficiency of the presented approach is demon...We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix.The efficiency of the presented approach is demonstrated by solving some differential equations.Also,this technique is combined with the standard Laplace Homotopy Per-turbation Method.The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.展开更多
A design scheme of variable structure model reference control systems using only input and output measurements is presented for the systems with unmodeled dynamics and disturbances in input and output channels. The mo...A design scheme of variable structure model reference control systems using only input and output measurements is presented for the systems with unmodeled dynamics and disturbances in input and output channels. The modeled part of the systems has relative degree greater than one and unknown upper bound of degree. By introducing some auxiliary signals and normalized signals with memory functions and appropriate choice of controller parameters, the developed variable structure controller guarantees the global stability of the closed-loop system and the arbitrarily small tracking error.展开更多
基金supported by the National Natural Science Foundation of China(10932009,11072212,11272279,and 11321202)
文摘The classical Lotka-Volterra （LV） model is a well-known mathematical model for prey-predator ecosystems. In the present paper, the pulse-type version of stochastic LV model, in which the effect of a random natural environment has been modeled as Poisson white noise, is in- vestigated by using the stochastic averaging method. The averaged generalized It6 stochastic differential equation and Fokkerlanck-Kolmogorov （FPK） equation are derived for prey-predator ecosystem driven by Poisson white noise. Approximate stationary solution for the averaged generalized FPK equation is obtained by using the perturbation method. The effect of prey self-competition parameter e2s on ecosystem behavior is evaluated. The analytical result is confirmed by corresponding Monte Carlo （MC） simulation.
文摘The analytic perturbation solutions to the motions of a planetary orbiter given in this paper are effective for 0e1, where e is the orbital eccentricity of the orbiter. In the solution, it is assumed that the rotation of the central body is slow, and its astronomical background is clear. Examples for such planets in the solar system are Venus and Mercury. The perturbation solution is tested numerically on two Venusian orbiters with eccentric orbits, PVO and Magellan, and found to be effective.
文摘利用2008—2012年台站资料、NCEP(National Centers for Environ-mental Prediction)-FNL(Final Operational Global Analysis)1°×1°再分析资料,将近5年经过渤海持续发展的黄河气旋分为夏季型和春季型,采用动态合成法对两类气旋的结构和黄渤海海域的热力、动力、水汽等影响因子进行对比分析。结果表明:经过渤海时,夏季型气旋主要伴随大范围的强降水,而春季型气旋主要形成强风区。春夏季黄河气旋均为冷暖交汇的斜压性结构,但夏季型有偏暖中心,斜压性弱于春季型。春季高空急流位于气旋南部,其左侧正涡度区维持气旋的深厚,且气旋后部高空动量下传与锋面二级环流及平坦海面配合有利于气旋低层大风迅速增强。夏季高空急流位于气旋北部,高空强辐散区和低层辐合区配置加强了气旋中的上升运动,有利于气旋强降水和凝结潜热释放。气旋发展阶段,扰动位能向动能的转化,支持气旋动能的维持与加强。湿位涡计算显示,夏季气旋中有深厚的干空气下沉,干湿梯度强,尺度大,有利于气旋的强降水,春季气旋中干湿梯度小,分布零散,对应降水强度和范围均小。黄渤海为气旋主要水汽输送通道,夏季海温相对春季高,水汽充沛,春季水汽辐合量仅为夏季三分之一。海洋下垫面作用对春季气旋影响大,在夏季作用不明显。夏季海面潜热加热影响为主,春季感热加热影响明显。
文摘Most of previous work on applying the conformal group to quantum fields has emphasized its invariant aspects, whereas in this paper we find that the conformal group can give us running quantum fields, with some constants, vertex and Green functions running, compatible with the scaling properties of renormalization group method （RGM）. We start with the renormalization group equation （RGE）, in which the differential operator happens to be a generator of the conformal group, named dilatation operator. In addition we link the operator/spatial representation and unitary/spinor representation of the conformal group by inquiring a conformal-invariant interaction vertex mimicking the similar process of Lorentz transformation applied to Dirac equation. By this kind of application, we find out that quite a few interaction vertices are separately invaxiant under certain transformations （generators） of the conformal group. The significance of these transformations and vertices is explained. Using a particular generator of the conformal group, we suggest a new equation analogous to RGE which may lead a system to evolve from asymptotic regime to nonperturbative regime, in contrast to the effect of the conventional RGE from nonperturbative regime to asymptotic regime.
文摘We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix.The efficiency of the presented approach is demonstrated by solving some differential equations.Also,this technique is combined with the standard Laplace Homotopy Per-turbation Method.The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.
文摘A design scheme of variable structure model reference control systems using only input and output measurements is presented for the systems with unmodeled dynamics and disturbances in input and output channels. The modeled part of the systems has relative degree greater than one and unknown upper bound of degree. By introducing some auxiliary signals and normalized signals with memory functions and appropriate choice of controller parameters, the developed variable structure controller guarantees the global stability of the closed-loop system and the arbitrarily small tracking error.
