Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany.
Philos Trans A Math Phys Eng Sci. 2010 Jan 28;368(1911):391-421. doi: 10.1098/rsta.2009.0233.
The interplay of time-delayed feedback and temporally correlated coloured noise in a single and two coupled excitable systems is studied in the framework of the FitzHugh-Nagumo (FHN) model. By using coloured noise instead of white noise, the noise correlation time is introduced as an additional time scale. We show that in a single FHN system the major time scale of oscillations is strongly influenced by the noise correlation time, which in turn affects the maxima of coherence with respect to the delay time. In two coupled FHN systems, coloured noise input to one subsystem influences coherence resonance and stochastic synchronization of both subsystems. Application of delayed feedback control to the coloured noise-driven subsystem is shown to change coherence and time scales of noise-induced oscillations in both systems, and to enhance or suppress stochastic synchronization under certain conditions.
在单个和两个耦合兴奋系统的菲茨休-纳格姆（FHN）模型框架内，研究了时滞反馈和时相关彩色噪声之间的相互作用。通过使用彩色噪声而不是白噪声，将噪声相关时间引入作为附加时间尺度。结果表明，在单个 FHN 系统中，振荡的主要时间尺度受噪声相关时间的强烈影响，这反过来又影响了相对于延迟时间的相干性最大值。在两个耦合的 FHN 系统中，输入到一个子系统的彩色噪声会影响两个子系统的相干共振和随机同步。对受彩色噪声驱动的子系统施加延迟反馈控制，结果表明可以改变两个系统中噪声诱导振荡的相干性和时间尺度，并在某些条件下增强或抑制随机同步。
