应用数学和力学

2008 Vol. 29, No. 6

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Phase Synchronization Between Nonlinearly Coupled R^L ssler Systems

LIU Yong, BI Qin-sheng, CHEN Yu-shu

2008, 29(6): 631-638.

Abstract(2796) PDF(546)

Abstract:
Phase synchronization between nonlinearly coupled systems with 1:1 and 1:2 resonances is investigated. By introducing the conception of phase for a chaotic motion, it demonstrates that for the different internal resonances, with relatively small parameter epsilon, both differences between the mean f...

Analytical and Numerical Method of Symplectic System for Stokes Flow in the Two-Dimensional Rectangular Domain

XU Xin-sheng, WANG Ga-ping, SUN Fa-ming

2008, 29(6): 639-648.

Abstract(3168) PDF(646)

Abstract:
A new analytical method of symplectic system, Hamiltonian system, was introduced for solving the problem of the Stokes flow in two-dimensional rectangular domain. In the system, the fundamental problem was reduced to eigenvalue and eigensolution problem, and the solution and boundary conditions can ...

Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow

GONG Lei, WU Jian-kang, Wang Lei, CHAO Kan

2008, 29(6): 649-656.

Abstract(3281) PDF(1061)

Abstract:
An analytical solution of periodical streaming potential, flow-induced electric field and velocity of periodical pressure-driven flows in two-dimensional uniform microchannel based on Poisson-Boltzmann equations for electric double layer and Navier-Stokes equation for liquid flow was presented. Dime...

Research of New-Type Flying Control for Spinning TVC Vehicle

LIU Xin-jian, YUAN Tian-bao

2008, 29(6): 657-662.

Abstract(2667) PDF(590)

Abstract:
A new kind of problem for TVC vehicle spinning in the boost stage is researched. On the basis of research of the non-linear flying dynamics modeling and dynamic properties of TVC vehicle, the dominant coupled factors which affected the attitude stability and attitude precision of pitch channel and y...

Effects of Unsteady Deformation of a Flapping Wing on Its Aerodynamic Forces

LIU Xin-jian, YUAN Tian-bao

2008, 29(6): 663-675.

Abstract(2914) PDF(596)

Abstract:
The effects of unsteady deformation of a flapping model insect wing on its aero dynamic force production were studied by solving the Navier-Stokes equations on a dynamically deforming grid. Aerodynamic forces on the flapping wing are little affected by consider abletwist, but are affected by camber ...

Hamiltonian Long Wave Expansions for Internal Waves Over a Periodically Varying Bottom

ZHOU Hong-yan, PIAO Da-xiong

2008, 29(6): 676-686.

Abstract(3109) PDF(590)

Abstract:
A Hamiltonian formulation for two-dimensional nonlinear long waves between two bodies of immiscible fluid with a periodic bottom was derived. From the formulation, using the Hamiltonian perturbation theory, effective Boussinesq equations that describe the motion of bidirectional long waves and unidi...

Computational Model for Short-Fiber Composites With Eigen-Strain Formulation of Boundary Integral Equations

MA Hang, XIA Li-wei, QIN Qing-hua

2008, 29(6): 687-695.

Abstract(3191) PDF(743)

Abstract:
A computational model was proposed for shortfiber reinforced materials with the eigenstrain formulation of the boundary integral equations (BIE) and solved with the newly developed boundary point method (BPM). The model comes intimately from the concept of the equivalent inclusion of Eshelby with ei...

Reconstruction of High Order Derivatives by New Mollification Methods

ZHAO Zhen-yu, HE Guo-qiang

2008, 29(6): 696-704.

Abstract(2856) PDF(616)

Abstract:
The problem of reconstructing numerical derivatives from noisy data is considered. A new framework of mollification methods based on L-generalized solution regularization methods was proposed. A concrete algorithm for the first three derivatives was presented, in which a modification of TSVD (called...

Approximate Analysis for the Scattering of SH-Wave by an Interface Cylindrical Elastic Inclusion With a Semicircular Disconnected Curve

ZHAO Jia-xi, QI Hui, SU Sheng-wei

2008, 29(6): 705-712.

Abstract(3215) PDF(528)

Abstract:
The scattering of SH-wave by an interface cylindrical elastic inclusion with a semicircular disconnected curve is investigated and the solution of dynamic stress concentration factor is given by Green's function, complex function method. Firstly, the space can be divided into up-and-down parts along...

Stabilization and Control for the Subcritical Semilinear Wave Equation in a Bounded Domain With a Cauchy-Ventcel Boundary Conditions

A. Kanoune, N. Mehidi

2008, 29(6): 713-725.

Abstract(3003) PDF(550)

Abstract:
The exponential decay property of solutions of the semilinear wave equation in bounded domain of R^N(N is equals or greater than 1) with a damping term which is effective on the exterior of a ball and with boundary conditions of Cauchy-Ventcel type was analyzed. Under suitable and natural assumptions...

Stochastic Level-Value Approximation for Quadratic Integer Convex Programming

PENG Zheng, WU Dong-hua

2008, 29(6): 726-734.

Abstract(3405) PDF(591)

Abstract:
A stochastic level value approximating method for quadratic integer convex minimizing problem was proposed. This method applies the importance sampling technique, and uses the main idea of the cross-entropy method to update the sample density functions. The asymptotic convergence of this algorithm w...

Generalized LMI-Based Approach to the Global Asymptotic Stability of Cellular Neural Networks With Delay

LIU De-you, ZHANG Jian-hua, GUAN Xin-ping, XIAO Xiao-dan

2008, 29(6): 735-740.

Abstract(2532) PDF(516)

Abstract:
The global asymptotic stability problem of cellular neural networks with delay is investigated. A new stability condition was presented based on Liapunov-Krasovskii method, which is dependent on the size of delay. The result is given in the form of LMI(linear matric inequality), and the admitted upp...

Positive Solutions of Three-Point Boundary Value Problems

MIAO Ye-hong, ZHANG Ji-hui

2008, 29(6): 741-748.

Abstract(3161) PDF(620)

Abstract:
The existence of single or multiple positive solutions of three-point boundary value problems involving one dimensional p-Laplacian was considered. Then the existence of solution when the problems is in resonance case was studied. The approach is based on the Krasnoselskii's fixed point theorem and ...

Diffusion-Driven Instability and Hopf Bifurcation in the Brusselator System

LI Bo, WANG Ming-xin

2008, 29(6): 749-756.

Abstract(3313) PDF(868)

Abstract:
The Hopf bifurcation for the Brusselator ODE model and the corresponding PDE model are investigated by using the Hopf bifurcation theorem. The stability of the Hopf bifurcation periodic solution was discussed by applying the normal form theory and the center manifold theorem. When parameters satisfy...