In this paper,with the aid of symbolic computation,we present a uniform method for constructing soliton solutions and periodic solutions to (2+1)-dimensional Toda lattice equation.
In this paper,we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay.By using matrix measure and Krasnoselskii＇s fixed point theorem,we obtained the suffcient con...In this paper,we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay.By using matrix measure and Krasnoselskii＇s fixed point theorem,we obtained the suffcient conditions of the existence of periodic solutions.展开更多
two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, ...two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.展开更多
We studied precipitation patterns in a Liesegang system under MW （microwave） irradiation in order to investigate metal salt diffusion in an electrolyte gel. The gel and salt concentrations were varied. MW irradiatio...We studied precipitation patterns in a Liesegang system under MW （microwave） irradiation in order to investigate metal salt diffusion in an electrolyte gel. The gel and salt concentrations were varied. MW irradiation induced periodic patterns of precipitation because polar molecules vibrate and rotate in an electromagnetic field. For example, the number of patterns increased by the irradiation. Accordingly, microwave irradiation nonlinearly accelerated the diffusion of ionic molecules.展开更多
For the quadratic system: x=-y+δx + lx2 + ny2, y=x(1+ax-y) under conditions -1<l<0,n+l - 1>0 the author draws in the (a, ()) parameter plane the global bifurcationdiagram of trajectories around O(0,0). Notic...For the quadratic system: x=-y+δx + lx2 + ny2, y=x(1+ax-y) under conditions -1<l<0,n+l - 1>0 the author draws in the (a, ()) parameter plane the global bifurcationdiagram of trajectories around O(0,0). Notice that when na2+l < 0 the system has one saddleN(0,1/n) and three anti-saddles.展开更多
Recent research has revealed a remarkable diversity of viruses in archaeal-rich environments where spindles, spheres, fila- ments and rods are common, together with other exceptional morphotypes never recorded previou...Recent research has revealed a remarkable diversity of viruses in archaeal-rich environments where spindles, spheres, fila- ments and rods are common, together with other exceptional morphotypes never recorded previously. Moreover, their dou- ble-stranded DNA genomes carry very few genes exhibiting homology to those of bacterial and eukaryal viruses. Studies on viral life cycles are still at a preliminary stage but important insights are being gained especially from microarray analyses of viral transcripts for a few model virus-host systems. Recently, evidence has been presented for some exceptional archaeal- nspecific mechanisms for extra-cellular morphological development of virions and for their cellular extrusion. Here we sum- marise some of the recent developments in this rapidly developing and exciting research area.展开更多
基金supported by Natural Science Foundation of Zhejiang Province under Grant No.Y104420
文摘In this paper,with the aid of symbolic computation,we present a uniform method for constructing soliton solutions and periodic solutions to (2+1)-dimensional Toda lattice equation.
基金Supported by the National Nature Science Foundation of China（10771001） Supported by the Key Program of Ministry of Education of China（205068） Supported by the Foundation of Education Department of Anhui province（KJ2008B152） Supported by the Foundation of Innovation Team of Anhui University
文摘In this paper,we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay.By using matrix measure and Krasnoselskii＇s fixed point theorem,we obtained the suffcient conditions of the existence of periodic solutions.
基金Supported by the Education Department Natural Science Foundation of Henan Province （2008A180041）
文摘two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.
文摘We studied precipitation patterns in a Liesegang system under MW （microwave） irradiation in order to investigate metal salt diffusion in an electrolyte gel. The gel and salt concentrations were varied. MW irradiation induced periodic patterns of precipitation because polar molecules vibrate and rotate in an electromagnetic field. For example, the number of patterns increased by the irradiation. Accordingly, microwave irradiation nonlinearly accelerated the diffusion of ionic molecules.
基金Project supported by the National Natural Science Foundation of China
文摘For the quadratic system: x=-y+δx + lx2 + ny2, y=x(1+ax-y) under conditions -1<l<0,n+l - 1>0 the author draws in the (a, ()) parameter plane the global bifurcationdiagram of trajectories around O(0,0). Notice that when na2+l < 0 the system has one saddleN(0,1/n) and three anti-saddles.
基金supported by grants from the Danish Natural Science Research Councilthe Danish Council of Technology and Production+1 种基金the Danish Foundation for Basic Researchthe European Union
文摘Recent research has revealed a remarkable diversity of viruses in archaeal-rich environments where spindles, spheres, fila- ments and rods are common, together with other exceptional morphotypes never recorded previously. Moreover, their dou- ble-stranded DNA genomes carry very few genes exhibiting homology to those of bacterial and eukaryal viruses. Studies on viral life cycles are still at a preliminary stage but important insights are being gained especially from microarray analyses of viral transcripts for a few model virus-host systems. Recently, evidence has been presented for some exceptional archaeal- nspecific mechanisms for extra-cellular morphological development of virions and for their cellular extrusion. Here we sum- marise some of the recent developments in this rapidly developing and exciting research area.
