Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 1997"

TL;DR: In this article, a variational iteration method is proposed to solve nonlinear partial differential equations without linearization or small perturbations, where a correction functional is constructed by a general Lagrange multiplier, which can be identified via variational theory.

TL;DR: In this article, the variational iteration method is applied to delay analytical approximate solutions for analytical approximations to delay differential equations, and it is shown to be applicable to delay-sensitive problems.

TL;DR: In this paper, the basic ideas of a new kind of analytical technique, namely the Homotopy Analysis Method (HAM), are briefly described, and a simple but typical example is used to illustrate the validity and the great potential of the HAM.

TL;DR: The Biham-Middleton-Levine model is improved by removing its limitation of synchronized change of traffic lights and in new model, the traffic light at each crossing could arbitrarily change its starting time and tempo of variation and hence the model could more realistically describe the influence of traffic Lights on the performance of traffic systems.

TL;DR: The exact relationships between the length of scale sequences and wavelet sequences in the Mallat pyramidal algorithm for computing wavelet transform coefficients are obtained, and the maximum possible scale of arbitrary discrete signal is derived.

TL;DR: In this article, the dispersion relations for MHD density wave in a composite system consisting of a stellar disk and a magnetized thermal gaseous disk are derived under two different approximations for the stellar disk.

TL;DR: In this paper, it is shown that the control law deduced by inverse system method is just the same as one by differential geometric method and the conclusion will simplify the control laws derivations of steam valving, excitation, converter and static var compensator.

TL;DR: In this article, a system of single oscillator in definite and in white noise perturbed cases is studied and it is shown that the rotation number of this system is positive in the white noise-perturbed case but varnishes in the definite case when the input frequency is not greater than 1.

TL;DR: Two kinds of improvement methods to reduce the compression complexity of Fractal image compression are proposed, which can keep the advantage of LIFSM and speed up the computation and improve the image quality.

TL;DR: In this article, the ordinary differential equations with certain type of singularities, or with stiff properties, or discontinuities are solved effectively by using a simple variable transformation with an arc-length parameter.

TL;DR: A high accuracy difference scheme is constructed based on the ENN scheme that has 5th-order accuracy in smooth regions and can keep the essentially non-oscillatory property.

TL;DR: In this paper, a special kind of shaft damage occurring nearby the interface of alluvia and bed rock has been found recently in some coal mines in Xuhuai area, southeast China.

TL;DR: In this paper, the influence of manipulators motion on spacecraft's attitude was studied and the authors discussed how to regulate the attitude of a liquid-filled spacecraft using manipulators and how to coordinate relations between the operation of a manipulator and attitude stability of the spacecraft.

TL;DR: The general Taylor series as discussed by the authors is a family of power series which contains the classical Taylor series in logic and can be used to solve non-linear differential equations in much larger regions.

TL;DR: In this paper, a multispeed heat transfer lattice Boltzmann model is presented, which possesses the perfect gas state equation with arbitrary special heat ratio, and the macroscopic conservation equations are derived by the Chapman-Enskog method.

TL;DR: In this paper, the proper transformation method is used to extend the diffusion equation on Euclidean space to the standard diffusion on fractals, and it is proved that the fractal Brownian particle moving belongs to the anomalous diffusion.

TL;DR: In this article, a mathematical model of chaotic synchronization of the heart-blood flow coupling dynamics is proposed, which is based on a seven dimension nonlinear dynamical system constructed by three subsystems of the sinoatrial node natural pacemaker, the cardiac relaxation oscillator and the dynamics of blood-fluid in heart chambers.

TL;DR: An implicit KFVS(IKFVS) scheme is developed, which is efficient for the time-dependent method.

TL;DR: In this article, the phase transition for DBM when ν varies is investigated by using real-space renormalization-group method, and the result demonstrates that there are phase transitions for almost all the value of ν.

TL;DR: In this article, the nonlinear evolution of ferroelectric domains is investigated and a model is proposed which can be applied to numerical computation and the results show that the model can accurately predict some nonlinear behavior and consist with those experimental results.

TL;DR: Using numerical computation in each step of constructing Darboux transformation, one can get the graphs of the solitons practically and greatly increases the speed and deduces the memory usage of computation comparing to the software for algebraic computation.

TL;DR: In this article, a three-dimensional micromechanics constitutive model is obtained to describe the nonlinear behavior of ferroelectrics, and the numerical calculation agrees well with the experimental data.

TL;DR: By using the homogeneous balance method, this article showed that the dromion solutions exist for the (2+1)-dimensional dispersive long-wave equations, and conjectured that the method used here can be generalized to a class of nonlinear evolution equations.

TL;DR: In this article, the global dynamical behavior of a connected system of coupled nonlinear oscillators is considered and it is shown that if the average of the input frequencies is zero, any solution will tend to a static state; otherwise, there will a unique phase locked orbit which attracts any bounded set exponentially.

TL;DR: In this paper, a low-Reynolds-number k-e turbulence model is proposed and applied to the turbulent backstep flows of different expansion ratios in a nonlinear k - e model.

TL;DR: In this paper, the singularity in the Saffman-Taylor solution for viscous finger in Hele-Shaw cell in the absence of surface tension is removed by slight modification.

TL;DR: This paper will compare accuracy, CPU time and efficiency of some upwind schemes based on the Euler level or the Boltzmann level with one 1-D problem and one 2-D flow problem.

TL;DR: In this article, the concept of segmental and molecular concentrations has been proposed for the flexible polymer molecule and it has been proved that the Flory-Huggins mixing entropy should be the result of the mixing of ideal chainhead gases.

TL;DR: In this article, the authors considered the dynamical behavior of a particular system of N coupled oscillators with nearest neighbor coupling, and they proved that the global attractor of this system is a one-dimensional restricted horizontal curve, therefore any solution will be frequency locked in the long time limit.

TL;DR: In this article, the existence of a bounded global attractor for a cross-diffusion model of forest with homogeneous Dirichlet boundary condition is proved under some condition on the parameters.