Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach.
Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach.
复制标题
通过频域方法延迟反馈对标量图动态的影响。
作者：
F. S. Gentile;A. Bel;M. Belén D'Amico;J. Moiola
利用频域方法研究了时滞反馈对标量映射动力学的影响。给出了控制映射中出现倍周期分岔和Neimark-Sacker分岔的显式条件。对于一定的延迟值，1：2共振的出现也被形式化，揭示了这种现象与系统参数无关。为了说明，我们对延迟反馈下的著名逻辑图进行了详细的研究。
The effect of delayed feedback on the dynamics of a scalar map is studied by using a frequency-domain approach. Explicit conditions for the occurrence of period-doubling and Neimark-Sacker bifurcations in the controlled map are found analytically. The appearance of a 1:2 resonance for certain values of the delay is also formalized, revealing that this phenomenon is independent of the system parameters. A detailed study of the well-known logistic map under delayed feedback is included for illustration.