Transversal homoclinic orbits for higher dimensional difference equations

In this paper, we use the functional analytic method (theory of exponential dichotomies and Liapunov-Schmidt method) to study the homoclinic bifurcations of higher dimensional difference equations in a degenerate case. We obtain a Melnikov vector mapping for difference equations with the help of which the existence of transversal homoclinic orbits can be detected.     

EXPONENTIAL DICHOTOMIES,HOMOCLINIC ORBITS AND METHODS OF MELNIKOV

ＥＸＰＯＮＥＮＴＩＡＬＤＩＣＨＯＴＯＭＩＥＳ，ＨＯＭＯＣＬＩＮＩＣＯＲＢＩＴＳＡＮＤＭＥＴＨＯＤＳＯＦＭＥＬＮＩＫＯＶ（曾唯尧，钱祥征，王志成）￥ＺｅｎｇＷｅｉｙａｏ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｕｎａｎＬｉｇｈｔＩｎｄｕｓｔｒｉａｌＣｏｌｌｅｇｅ，...     

Experiment and Capillary Bundle Network Model of Micro Polymer Particles Propagation in Porous Media

In this paper, a microscopic visualization experiment is conducted to explore the heterogeneous flow pattern of micro polymer particles in micron pore. A capillary bundle network model for micro polymer particles in porous media is established. The migration and retention mechanism of polymer particles can be clearly observed in the experiment and simulated with this numerical model. The result demonstrates that the block of large particles is one of the main factors by which micro polymer particles increase the flow resistance. The simulation results are consistent with the experimental results.     

基于级联9电平技术的大功率超声波电源

为了提高超声波电源的输出功率,该文提出了一种基于级联9电平技术的大功率超声波电源.电源逆变部分由两个H桥单元级联组成,经过一定的控制策略实现输出电压为9电平波形,可以显著提高超声波电源的输出功率,改善输出电压的波形质量.提出一种电压差法跟踪换能器的谐振频率,只需采样3个电压,根据3个电压之间的数值差调节输出频率.通过分...