具有界时滞和分布时滞的反应扩散神经网络的指数同步

本文研究了一类具有界时滞和分布时滞的反应扩散神经网络的状态变量在边界为零的条件下驱动系统和响应系统的指数同步性,得到了其驱动系统和响应系统指数同步的充分条件。     

基于弛豫型铁电三元共聚物聚(偏氟乙烯-三氟乙烯-氯代偏氟乙烯)热释电性能的能量采集研究

研究了利用弛豫型铁电三元聚合物薄膜P(VDF-TrFE-CFE)的热释电性质,以温度波动作为初始能量形式进行热电能量的采集。由于该聚合物薄膜在发生由温度变化诱导的纳米极性区极化机制转换时,介电常数表现出明显的非线性变化,所以可以结合Ericsson循环实现热电能量采集。实验结果显示,最佳能量采集温度区间为20~-20℃,利用不同温度下的单极性电滞回线进行Ericsson循环模拟,两种模拟方式分别实现能量采集最大值和最小值,并从微观角度给出了两种模式的解释。同时研究了温度波动和外加电场对能量采集的影响。在外加电场100 kV·mm^-1、温度波动为40℃的情况下,能量采集值达到3483 mJ·cm^-3。与单晶材料相比,能量采集值提高了10倍。当工作温度降低至室温时,材料具有柔性,在能量采集方面具有应用潜力。     

Effects of Continuous Size Distributions on Pressures of Granular Gases

Direct Monte Carlo simulations are employed to investigate the granular pressures in granular materials with a power-law particle size distribution. Specifically, smooth circular discs of uniform material density are engaged in a two-dimensional rectangular box, colliding inelastically with each other and driven by a homogeneous heat bath at zero gravity. The resulting pressures are found to decrease as the widths of particle size distribution are increased. Moreover, the granular pressures in power-law systems are found to be unequally distributed among the various sizes of particles, with large particles possessing more pressure than their smaller counterparts. The width-dependent nature of the total pressures is induced by the more dispersion of smaller particles in the system as the particle size distribution is widened.     

一类四阶非线性系统的全局渐近稳定性

运用Liapunov第二方法讨论了一类四阶非线性系统的全局渐近稳定性,通过构造出较好的Liapunov函数,获得到了其零解全局渐近稳定的充分性准则,去掉了一般要求Liapunov函数具有无穷大这个较强的条件,并推广了部分文献所研究的非线性系统.