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一个新混沌系统的同步研究
新混沌系统 混沌同步 李雅普诺夫稳定性
2011/10/19
针对一个新三维混沌自治系统,研究了该混沌系统的同步问题.利用线性负反馈法,设计了实现其同步的一种非线性控制器．利用李雅普诺夫稳定性定理,证明了同步误差系统是全局渐近稳定的．Matlab数值仿真结果表明所设计的非线性控制器能有效地实现混沌同步．
本文对种群服从Ricker增长的开放式生物资源建立了价格随供求而变化的捕获模型，并对其进行了详细分析。利用常微分方程中的定性和稳定性理论，讨论了平衡点的存在性，稳定性及极限环的不存在性。从生态学和经济学的角度对所得到的结果作出了解释，探讨了关于生物资源开发的相关问题，为生物资源的实际开发与管理提供了必要的理论依据。
Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
Rabinowitz＇s Saddle Point Theorem Singular Hamiltonian systems without any symmetry
2011/10/18
Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
Generalizations on Rabinowitz’s Theorems
Second order Hamiltonian systems Periodic solutions Saddle Point Theorems
2011/10/18
We use the famous Benci-Rabinowitz’s Saddle Point Theorem ([3])with Cerami-Palais-Smale condition to study the existence of new periodic solutions with a fixed period for second order Hamiltonian syst...
离散非线性Jacobi算子方程的周期解和次调和解
周期解和次调和解 山路引理 Jacobi算子 离散变分理论
2011/10/18
本文应用临界点理论中著名的山路引理，获得了一类具有Jacobi算子类型的二阶非线性泛函差分方程周期解和次调和解的存在性和多重性的一些充分条件。所用的证明方法主要是基于山路引理结合变分技巧，这为具有超前和滞后的二阶非线性泛函差分方程周期解和次调和解的存在性及多重性问题的研究提供了一个有效的解决方法。
解释结构模型在高校教学质量评价中的应用
教学质量评价 指标 解释结构模型 评价模型
2011/10/18
首先，结合对高校教学质量评价工作实际，构建高校教学质量评价指标，并分析了各指标要素间的相关关系；然后，以解释结构模型为基础，构建高校教学质量评价模型；最后，通过对指标相关性的进一步分析，明确了各指标在教学质量评价中的地位和作用及相互影响关系，以期为高校教学质量评价工作提供一定的参考依据。
Morse decomposition for random dynamical systems
Random dynamical system Morse decomposition random attractor
2011/10/18
It is well-known that Morse decomposition is very useful to study the inner structure of invariant sets for given dynamical systems. Recently, Morse decomposition is established for random dynamical s...
Morse decomposition and Lyapunov functions for dynamical systems
Differential equation and dynamical system Morse decomposition Lyapunov function
2011/10/18
In this paper, we review Morse decomposition and Lyapunov functions. Most of the results are due to Conley and are known. Attractor-repeller pairs and Morse decompositions are very useful to study the...
Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Modified projective synchronization of fractional-order chaotic systems with different dimensions
Modified projective synchronization Fractional-order chaotic systems Laplace transformation
2011/10/18
In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are ...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/9/21
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
利用数值模拟方法对高超声速钝锥及Apollo返回舱底部尾迹流场进行了研究, 分析尾迹流动的失稳过程. 对钝锥模型, 在M∞=6, Re=1.71× 106(Re以球头半径为参考长度)条件下观察到了底部流动的不稳定性. 不添加任何扰动, 数值模拟首先得到的流动是稳定解, 在底部发展出一个主分离区和一个二次分离区, 流动是轴对称状态. 继续进行计算, 发现二次分离线率先变形, 底部流场发展出非定常周期...
Convergence and Rate Analysis of Neural Networks for Sparse Approximation
Locally Competitive Algorithm sparse approximation global stability exponential convergence non-smooth objective
2011/9/23
Abstract: We present an analysis of the Locally Competitive Algorithm (LCA), a Hopfield-style neural network that solves sparse approximation problems (e.g., approximating a vector from a dictionary u...
Generalized Extreme Value distribution parameters as dynamical indicators of Stability
Generalized Extreme Value distribution parameters dynamical indicators of Stability Dynamical Systems
2011/9/23
Abstract: We introduce a new dynamical indicator of stability based on the Extreme Value statistics showing that it provides an insight on the local stability properties of dynamical systems. The indi...
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
non-exponentially small splitting fast meromorphic perturbation Dynamical Systems
2011/9/29
Abstract: In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromo...