In this paper, we study the long time behavior of solution to the initial boundary value problem for a class of Kirchhoff-Boussinesq model flow . We first prove the wellness of the solutions. Then we establish the exi...In this paper, we study the long time behavior of solution to the initial boundary value problem for a class of Kirchhoff-Boussinesq model flow . We first prove the wellness of the solutions. Then we establish the existence of global attractor. 展开更多
In this paper, we consider a non-autonomous model for epitaxial growth. It is shown that a pullback attractor of the model exists when the external force has exponential growth.
A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift map...A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors' structure and dynamical behaviour were described.展开更多
In this paper, we investigate the global character of all positive solutions of a population model of systems. Some interesting convergence properties of the solution are given, and lastly, we obtain that the solution...In this paper, we investigate the global character of all positive solutions of a population model of systems. Some interesting convergence properties of the solution are given, and lastly, we obtain that the solution is permanent under some conditions.展开更多
The projection of the chaotic attractor observed from the Lorenz system in the X-Z plane is like a butterfly, hence the classical Lorenz system is widely known as the butterfly attractor, and has served as a prototype...The projection of the chaotic attractor observed from the Lorenz system in the X-Z plane is like a butterfly, hence the classical Lorenz system is widely known as the butterfly attractor, and has served as a prototype model for studying chaotic behaviour since it was coined. In this work we take one step further to investigate some fundamental dynamic behaviours of a novel hybrid Takagi-Sugeno （TS） fuzzy Lorenz-type system, which is essentially derived from the delta-operator-based TS fuzzy modelling for complex nonlinear systems, and contains the original Lorenz system of continuous-time TS fuzzy form as a special case. By simply and appropriately tuning the additional parametric perturbations in the two-rule hybrid TS fuzzy Lorenz-type system, complex （two-wing） butterfly attractors observed from this system in the three dimensional （3D） X-Y-Z space are created, which have not yet been reported in the literature, and the forming mechanism of the compound structures have been numerically investigated.展开更多
A disease transmission model of SI type with stage structure is formulated. The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium, the existence of a global attractor are in...A disease transmission model of SI type with stage structure is formulated. The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium, the existence of a global attractor are investigated.展开更多
This article is concerned with a mathematical model of tumor growth governed by 2<sup>nd</sup> order diffusion equation . The source of mitotic inhibitor is almost periodic and time-dependent within the ti...This article is concerned with a mathematical model of tumor growth governed by 2<sup>nd</sup> order diffusion equation . The source of mitotic inhibitor is almost periodic and time-dependent within the tissue. The system is set up with the initial condition C(r, 0) = C<sub>0</sub>(r) and Robin type inhomogeneous boundary condition . Under certain conditions we show that there exists a unique solution for this model which is almost periodic.展开更多
分布式聚类挖掘技术是解决数据集分布环境下聚类挖掘问题的有效方法.针对数据水平分布情况,在已有分布式密度聚类算法DBDC(density based distributed clustering)的基础上,引入局部密度聚类和密度吸引子等概念,提出一种基于局部密度的...分布式聚类挖掘技术是解决数据集分布环境下聚类挖掘问题的有效方法.针对数据水平分布情况,在已有分布式密度聚类算法DBDC(density based distributed clustering)的基础上,引入局部密度聚类和密度吸引子等概念,提出一种基于局部密度的分布式聚类算法——LDBDC(local density based distributed clustering).算法适用于含噪声数据和数据分布异常情况,对高雏数据有着良好的适应性.理论分析和实验结果表明,LDBDC算法在聚类质量和算法效率方面优于已有的DBDC算法和SDBDC(scalable dellsity-based distributed clustering)算法.算法是有效、可行的.展开更多
文摘In this paper, we study the long time behavior of solution to the initial boundary value problem for a class of Kirchhoff-Boussinesq model flow . We first prove the wellness of the solutions. Then we establish the existence of global attractor.
基金The NSF(11401258)of Chinathe NSF(BK20140130)of Jiangsu Province
文摘In this paper, we consider a non-autonomous model for epitaxial growth. It is shown that a pullback attractor of the model exists when the external force has exponential growth.
文摘A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors' structure and dynamical behaviour were described.
文摘In this paper, we investigate the global character of all positive solutions of a population model of systems. Some interesting convergence properties of the solution are given, and lastly, we obtain that the solution is permanent under some conditions.
基金Project partially supported by the Natural Science Foundation of Educational Committee of Anhui Province, China （Grant No 2006kj250B）.
文摘The projection of the chaotic attractor observed from the Lorenz system in the X-Z plane is like a butterfly, hence the classical Lorenz system is widely known as the butterfly attractor, and has served as a prototype model for studying chaotic behaviour since it was coined. In this work we take one step further to investigate some fundamental dynamic behaviours of a novel hybrid Takagi-Sugeno （TS） fuzzy Lorenz-type system, which is essentially derived from the delta-operator-based TS fuzzy modelling for complex nonlinear systems, and contains the original Lorenz system of continuous-time TS fuzzy form as a special case. By simply and appropriately tuning the additional parametric perturbations in the two-rule hybrid TS fuzzy Lorenz-type system, complex （two-wing） butterfly attractors observed from this system in the three dimensional （3D） X-Y-Z space are created, which have not yet been reported in the literature, and the forming mechanism of the compound structures have been numerically investigated.
基金This work is supported by National Natural Science Foundation of China (10171106)the Special Fund for Major State Basic Research Projects (G1999032805)
文摘A disease transmission model of SI type with stage structure is formulated. The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium, the existence of a global attractor are investigated.
文摘This article is concerned with a mathematical model of tumor growth governed by 2<sup>nd</sup> order diffusion equation . The source of mitotic inhibitor is almost periodic and time-dependent within the tissue. The system is set up with the initial condition C(r, 0) = C<sub>0</sub>(r) and Robin type inhomogeneous boundary condition . Under certain conditions we show that there exists a unique solution for this model which is almost periodic.
文摘分布式聚类挖掘技术是解决数据集分布环境下聚类挖掘问题的有效方法.针对数据水平分布情况,在已有分布式密度聚类算法DBDC(density based distributed clustering)的基础上,引入局部密度聚类和密度吸引子等概念,提出一种基于局部密度的分布式聚类算法——LDBDC(local density based distributed clustering).算法适用于含噪声数据和数据分布异常情况,对高雏数据有着良好的适应性.理论分析和实验结果表明,LDBDC算法在聚类质量和算法效率方面优于已有的DBDC算法和SDBDC(scalable dellsity-based distributed clustering)算法.算法是有效、可行的.
