Padmanaban E, Saha Suman, Vigneshwaran M, Dana Syamal K
CSIR-Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062916. doi: 10.1103/PhysRevE.92.062916. Epub 2015 Dec 17.
The phenomenon of emergent amplified response is reported in two unidirectionally coupled identical chaotic systems when heterogeneity as a parameter mismatch is introduced in a state of complete synchrony. The amplified response emerges from the interplay of heterogeneity and a type of cross-feedback coupling. It is reflected as an expansion of the response attractor in some directions in the state space of the coupled system. The synchronization manifold is simply rotated by the parameter detuning while its stability in the transverse direction is still maintained. The amplification factor is linearly related to the amount of parameter detuning. The phenomenon is elaborated with examples of the paradigmatic Lorenz system, the Shimizu-Morioka single-mode laser model, the Rössler system, and a Sprott system. Experimental evidence of the phenomenon is obtained in an electronic circuit. The method may provide an engineering tool for distortion-free amplification of chaotic signals.
当在完全同步状态下引入作为参数失配的异质性时，在两个单向耦合的相同混沌系统中报告了出现放大响应的现象。放大响应源于异质性与一种交叉反馈耦合的相互作用。它在耦合系统的状态空间中表现为响应吸引子在某些方向上的扩展。同步流形通过参数失谐简单地旋转，同时其在横向方向上的稳定性仍得以维持。放大因子与参数失谐量呈线性相关。通过典型的洛伦兹系统、清水 - 森冈单模激光模型、罗斯勒系统和斯普罗特系统的例子对该现象进行了阐述。在一个电子电路中获得了该现象的实验证据。该方法可为混沌信号的无失真放大提供一种工程工具。
