隧道二极管中随机时空动力学的多重延时反馈共振控制
Resonant control of stochastic spatio-temporal dynamics in a tunnel diode by multiple time delayed feedback
摘要：
我们研究了多重延时反馈对半导体纳米结构（双势垒共振隧穿二极管）中噪声诱导的时空电流密度模式的控制。我们发现更明显的共振特性的噪声引起的振荡相比，单次反馈，使系统更敏感的延迟时间$τ$的变化。由相关时间测量的噪声引起的振荡的相干性表现出作为$τ$的函数的尖锐共振，并且可以通过$τ$的最佳选择来强烈地增加。类似地，功率谱密度中的峰值被锐化。我们提供的相关时间和平均频率的噪声引起的呼吸振荡的控制机制的分析洞察力的控制回路的影响下的确定性固定电流密度细丝的稳定性。此外，我们证明了多个时间延迟的使用扩大了制度，在该制度中，系统的确定性动力学性质不改变延迟诱导的分岔。
英文摘要：
We study the control of noise-induced spatio-temporal current density patterns in a semiconductor nanostructure (double barrier resonant tunnelling diode) by multiple time-delayed feedback. We find much more pronounced resonant features of noise-induced oscillations compared to single time feedback, rendering the system more sensitive to variations in the delay time $τ$. The coherence of noise-induced oscillations measured by the correlation time exhibits sharp resonances as a function of $τ$, and can be strongly increased by optimal choices of $τ$. Similarly, the peaks in the power spectral density are sharpened. We provide analytical insight into the control mechanism by relating the correlation times and mean frequencies of noise-induced breathing oscillations to the stability properties of the deterministic stationary current density filaments under the influence of the control loop. Moreover, we demonstrate that the use of multiple time delays enlarges the regime in which the deterministic dynamical properties of the system are not changed by delay-induced bifurcations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
