Kumar Pawan, Parmananda P, Verma Dinesh Kumar, Singla Tanu, de Nicolás Iram, Escalona J, Rivera M
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India.
Centro de Investigación en Ciencias - (IICBA), UAEM, Avenida Universidad 1001, Colonia Chamilpa, Cuernavaca, 62209 Morelos, Mexico.
Chaos. 2019 May;29(5):053112. doi: 10.1063/1.5083179.
We report experimental results indicating entrainment of aperiodic and periodic oscillatory dynamics in the Mercury Beating Heart (MBH) system under the influence of superimposed periodic forcing. Aperiodic oscillations in MBH were controlled to generate stable topological modes, namely, circle, ellipse, and triangle, evolving in a periodic fashion at different parameters of the forcing signal. These periodic dynamics show 1:1 entrainment for circular and elliptical modes, and additionally the controlled system exhibits 1:2 entrainment for elliptical and triangular modes at a different set of parameters. The external periodic forcing of the periodic MBH system reveals the existence of domains of entrainment (1:1, 1:2, 1:3, and 1:4) represented in the Arnold tongue structures. Moreover, Devil's staircase is obtained when the amplitude-frequency space of parameters of the applied signal is scanned.
我们报告了实验结果，表明在叠加周期性强迫的影响下，汞心脏跳动（MBH）系统中存在非周期性和周期性振荡动力学的同步现象。MBH中的非周期性振荡被控制以产生稳定的拓扑模式，即圆形、椭圆形和三角形，这些模式在强迫信号的不同参数下以周期性方式演化。这些周期性动力学在圆形和椭圆形模式下呈现1:1同步，此外，在另一组参数下，受控系统在椭圆形和三角形模式下呈现1:2同步。周期性MBH系统的外部周期性强迫揭示了在阿诺德舌形结构中表示的同步域（1:1、1:2、1:3和1:4）的存在。此外，当扫描所施加信号参数的幅频空间时，可得到魔鬼阶梯。
