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We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par- ticles with an o -set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...
The semiclassical mechanics of the Wigner 6j-symbol is examined from the standpoint of WKB theory for multidimensional, integrable systems,to explore the geometrical issues surrounding the Ponzano-Reg...
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V : R2 → R, we let V#(x, y) = V (x, y) in the rig...
We investigate first-passage statistics of an ensemble of N noninteracting random walks on a line.Starting from a configuration in which all particles are located in the positive half-line, we study S...
We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass M > 0, we construct stationary states with non-zero temper...
We consider the Itˆo SDE with non-degenerate diffusion coefficient and measurable drift coefficient. Under the condition that the gradient of the diffusion coefficient and the divergences of the...
Given a locally maximal compact invariant hyperbolic set  for a C1 flow or diffeomorphism on a Riemann manifold with C1 unstable laminations, we construct an invariant continuous bundle of tangent ve...
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the veloc...
We give a comprehensive study on regularized approximate electromagnetic cloaking via the transformation optics approach.
We develop a formalism for general relativistic, grand canonical ensembles in space-times with timelike Killing fields. Using that formalism we derive ideal gas laws, and show how they depend on the g...
Let G be a reductive algebraic group over the complex number filed, and K = G be the fixed points of an involutive automorphism  of G so that (G,K) is a symmetric pair.
Let T : X ! X be a compact linear (or more generally affine) operator from a Banach space into itself. For each x 2 X, the sequence of iterates T nx, n = 0, 1, · · · and its averages 1 k Pn k=0 T k...
We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit...
通过相图、全局分叉图、庞加莱映射图对周期激励Van der Pol-Duffing振子的混沌行为进行了分析,利用两种方法实现了该系统的混沌控制,将该系统的混沌行为有效地控制到稳定的周期轨道.
主要根据微生物间歇培养过程的特征、动态行为及实验数据,建立了能够更好反映间歇发酵过程的简化的多阶段参数辨识模型,然后证明了该模型中最优参数的存在性;最后结合模型特点构造了一种改进的粒子群优化(PSO)算法求得最优参数,并利用所得的参数进行过程仿真。结果表明该模型和算法大大减少了实验数据和计算数值之间的误差,能够更好地模拟微生物间歇发酵过程。

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