周期激励下Chen系统的簇发现象分析

对于周期激励下的Chen系统,当激励项的频率和原系统的固有频率存在量级上的差异时,系统表现出两个时间尺度下的动力学行为.首先,将激励项作为一个变量对系统进行了分岔分析.然后应用快慢分析法探讨了在不同的参数条件下,激励项周期变化时产生的对称式折叠簇发、对称式亚临界Hopf簇发、对称式Hopf-同宿簇发现象及其产生机制.同时还讨论了激励幅值和频率对系统不同簇发的影响.

Analysis of bursting phenomena in Chen's system with periodic excitation

In this paper, the electron transport through a double-barrier InAs /InP nanowire heterostructure between two reservoirs at different temperatures and chemical potentials is studied. The transport probability of electron is obtained by using transfer matrix method, and the heat flow carried by the electrons transfer is derived. The performance characteristic curves of the refrigerator are plotted by numerical calculation. The influence of the barrier width and well width on the operation performance of the refrigerator is analyzed. It is found that when the well width is fixed, the position of resonance energy level increases while the width of resonance energy level decreases as the barrier width increases, and for the same bias the larger the barrier width, the smaller the cooling rate, while the larger the relative coefficient of performance. When the barrier width is fixed, for the same bias, the relative coefficient of performance will decrease as the well width increases. The curve obtained when both the well width and barrier width vary, is similar to the curve obtained when the well width varies and barrier width is fixed. Thus we can see that cooling rate and the relative cooling factor are mainly affected by the well width.