Two-Frequency Autowave Processes in the Complex Ginzburg–Landau Equation

We study the complex Ginzburg–Landau equation with zero Neumann boundary conditions on a finite interval and establish that this boundary problem (with suitably chosen parameters) has countably many stable two-dimensional self-similar tori. The case of periodic boundary conditions is also investigated.     

On the isomorphism problem in the class of extensions of a free group by an infinite cyclic group

In the automorphism group of a rank 3 free group we find two nonconjugate automorphisms whose mapping tori are isomorphic groups.     

Bifurcations of Invariant Tori and Subharmonic Solutions of Singularly Perturbed System

This paper deals with bifurcations of subharmonic solutions and invariant tori generated from limit cycles in the fast dynamics for a nonautonomous singularly perturbed system. Based on Poincare map, a series of blow-up transformations and the theory of integral manifold, the conditions for the existence of invariant tori are obtained, and the saddle-node bifurcations of subharmonic solutions are studied.     

平面二包环面蜗轮的特征建模

在环面蜗杆螺旋线解析几何方程的建模和平面包络环面蜗杆三维实体构建的基础上，分析讨论了平面二次包络环面蜗轮的几何特征，应用蜗杆特征模型，采用有限次数逻辑运算逼近方法完成平面二次包络环面蜗轮实体构建，实现了平面二次包络环面蜗轮副传动的组建．该方法简洁实用，三维实体具有真实的运动型面，能为数控加工提供精确的坐标参数，也能为平面二次包络环面蜗轮副传动的性能优化提供有用的研究方法．     

Classification of extensions of torus algebra II

We use extension theory and algebraic methods to give a complete characterization of extensions of torus algebra by stable Cuntz algebras,and prove certain classification theorems of these extension algebras.     

二维Navier—Stokes方程的吸引子与一环面同构

文中证明了二维Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ 方程的吸引子作为拓扑群与一环面同构