Transition to Amplitude Death in Coupled System with Small Number of Nonlinear Oscillators

In this work, we investigate the amplitude death in coupled system with small number of nonlinear oscillators. We show how the transitions to the partial and the complete amplitude deathes happen. We also show that the partial amplitude death can be found in globally coupled oscillators either.     

Exact Solutions to Short Pulse Equation

In this paper, dependent and independent variable transformations are introduced to solve the short pulse equation. It is shown that different kinds of solutions can be obtained to the short pulse equation.     

Bell＇s Inequality for a System Composed of Particles with Different Spins

For two particles with different spins, we derive the Bell＇s inequality. The inequality is investigated for two systems combining spin-1 and spin-1/; spin-1/2 and spin-3/2. We show that for these states Bell＇s inequality is violated.     

A New 3D Four-Wing Chaotic System with Cubic Nonlinearity and Its Circuit Implementation

A new 3D four-wing smooth autonomous chaotic system in which each equation contains a cubic product term is presented and physically implemented. Spectral analysis shows that the four-wing chaotic attractor has extremely wide frequency bandwidth compared with that of the Lorenz system and other four-wing chaotic systems, which is important in some relevant engineering applications such as secure communications.     

Polaron in Bose-Einstein-Condensation System

We consider the motion of an impurity in a Bose-Einstein condensate system at T = 0 K with the contact interaztions for boson-boson and boson-impurity. Under the forward-scattering approximation, we obtain a Fr6hlich-like Hamiltonian for this system, which means that a polaron can be formed. The effective mass, the phonon number and the energy to form a polaron are obtained. We also discuss the validity of the forwardscattering approximation for this system.     

Application of Equivalent Air Gap Method in Uniaxial Crystal Plate

The equivalent air gap method is a simple way to trace the ray propagation in an isotropic medium, but it cannot be applied to an anisotropic medium. We present the exact general expressions of the equivalent air gap thicknesses and the displacements for the plane-parallel uniaxial crystal plates. They are also suitable for the isotropie medium. This method is useful when one determines whether certain size plane-parallel plates can be fitted into the available air of an optical system, and also in the prism system design.     

Asymmetric Heat Conduction in One-Dimensional Hard-Point Model with Mass Gradient

The heat conduction in a one-dimensional （1D） hard-point model with mass gradient is studied. Using numerical simulation, we find an asymmetric heat conduction in this model with greater heat current in the direction of mass increase. The increase of temperature gradient, mass gradient and system size axe found to enhance the asymmetric heat conduction. Based on the collision dynamic of a haxd-point particle, we give a qualitative explanation for the underlying mechanism of asymmetric effect.     

Stabilizing of Two-Dimensional Discrete Lorenz Chaotic System and Three-Dimensional Discrete RSssler Hyperchaotic System

A method is used to stabilize the unstable discrete system： two-dimensional discrete Lorenz system and threedimensional discrete Fossler system.     

Control of a Unified Chaotic System via Single Variable Feedback

Based on the LaSalle invariance principle, we propose a simple adaptive-feedback for controlling the unified chaotic system. We show explicitly with numerical proofs that our method can easily achieve the control of chaos in the unified chaotic system using only a single variable feedback. The present controller, to our knowledge, is the simplest control scheme for controlling a unified chaotic system.     

一类具两条不连续相交线的平面系统的闭轨

研究了一类具两条不连续相交线的平面系统的闭轨.利用微分包含理论和点变换的方法,获得了一些有趣的结果,包括滑模解,同宿解和闭轨的存在性.同时给出了闭轨存在的必要条件.