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.
Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing
Note: This paper is part of the Focus Issue, “Nonlinear Chemical Dynamics and Its Interdisciplinary Impact: Dedicated to Ken Showalter on the Occasion of his 70th Birthday.”
Pawan Kumar, P. Parmananda, Dinesh Kumar Verma, Tanu Singla, Iram de Nicolás, J. Escalona, M. Rivera; Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing. Chaos 1 May 2019; 29 (5): 053112. https://doi.org/10.1063/1.5083179
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