振动锤的数学模型与全局分叉

用现代动力系统方法，将振动锤的动力学等价地简化为圆周上的分段连续自映射，并描述了此映射的性质．随着激振频率的增加，系统产生的分叉过程与普通的一维连续映射有本质差异．在极限状态下，振动锤的运动是混沌的．     

Discrete chaos in fractional sine and standard maps

Fractional standard and sine maps are proposed by using the discrete fractional calculus. The chaos behaviors are then numerically discussed when the difference order is a fractional one. The bifurcation diagrams and the phase portraits are presented, respectively.     

Liouville theorem for pseudoharmonic maps from Sasakian manifolds

In this paper, we derive a sub-gradient estimate for pseudoharmonic maps from noncompact complete Sasakian manifolds which satisfy the CR sub-Laplace comparison property, to simply-connected Riemannian manifolds with nonpositive sectional curvature. As its application, we obtain some Liouville theorems for pseudoharmonic maps. In the Appendix, we modify the method and apply it to harmonic maps from noncompact complete Sasakian manifolds.     

Novel biological visual attention mechanism via Gaussian harmony search

Most of the visual attention models are based on the concept of a two-dimensional saliency map, which encodes the conspicuity of the object in the visual scene. The visual attention model proposed by Laurent Itti is used in this work. In Itti's model, the saliency map is calculated via combining the information across several modalities, including color, intensity, and orientation. In this work, we propose a pre-training process to select the weightings used in the combining of feature maps to make the target more conspicuity in the saliency map. Harmony search (HS) algorithm is used in the pre-training process to obtain the weightings. HS is a new heuristic algorithm, which mimics the improvisation of music players. Its performance has been verified by many benchmark problems. We modify the pitch adjustment process of the original HS to improve the optimization performance and accelerate the convergence rate. The modified algorithm is named Gaussian harmony search (GHS).     

Moving target detection approach based on spatio-temporal salient perception

The differences in texture and motion between man-made object and natural scene are the key features for human biological visual system to detect moving object in scenery. The paper proposed a moving target detection approach based on spatio-temporal perception, which is a crucial function of the visual attention mechanism. The spatial feature including edge, orientation, texture and contrast of the image are extracted, and then the corresponding spatial salient map are constructed by fusing the features through difference of Gaussian (DOG) function, which can suppress the common and enhance the difference of local region. Then, the global motion, local motion and relative motion between continuous images are extracted by means of pyramid multi-resolution, and the moving salient map is constructed after the motion difference between moving target and background is confirmed. Finally, the spatio-temporal salient map is constructed by fusing the spatial salient map and the moving salient map through competition strategy, and the moving target could be detected by searching the maximum in the spatio-temporal salient map. Some experiments are included and the results show that the method can accurately detect the moving target in complex background.     

基于偏振测量的雾天图像场景分割

现有场景分割方法主要依赖于图像亮度、颜色和纹理等特征,然而在雾天图像中提取这些特征将变得困难且不稳定.基于此本文提出了适用于雾天图像场景分割的特征矢量,以及相应的特征提取算法.特征矢量由目标偏振度、深度和颜色三部分组成.特征提取算法分别为:用去相关的方法从图像偏振度分离出大气偏振度和目标偏振度;根据雾天退化模型和雾天图像偏振表示形式推导出场景深度信息;利用两幅偏振图像求出非偏振彩色图像,从而得到场景的颜色信息.将这些特征构成的特征矢量用于基于图的分割算法中,并从两个方面比较了仅使用颜色特征和使用本文特征矢量的分割结果.最后得出结论:对于雾天图像而言,这些特征比通常的颜色特征更加有效和鲁棒.     

Hausdorf Dimension of Quadratic Rational Julia Sets

Suppose a quadratic rational map has a Siegel disk and a parabolic fxed point.If the rotation number of the Siegel disk is an irrational of bounded type,then the Julia set of the map is shallow.This implies that its Hausdorf dimension is strictly less than two.     

Non-wandering Expanding Maps on Branched 1-Manifolds and Smale–Williams Solenoids

In this paper, we give a criterion of whether there are non-wandering expanding maps on a given branched 1-manifold. As an application, we give an example of a dynamic on a 3-manifold having non-zero first Betti number, the non-wander sets of which are two Smale–Williams solenoids.     

Uniqueness of Fq-quadratic perfect nonlinear maps from Fq3 to Fq2

Let q be a power of an odd prime. We prove that all ${\mathbb{F}}_q$-quadratic perfect nonlinear maps from ${\mathbb{F}}_{q^3}$ to ${\mathbb{F}}_q^2$ are equivalent. We also give a geometric method to find the corresponding equivalence explicitly.