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Kumar P, Parmananda P, Verma DK, et al. Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing. Chaos. 2019;29(5):053112doi: 10.1063/1.5083179.
Kumar, P., Parmananda, P., Verma, D. K., Singla, T., de Nicolás, I., Escalona, J., & Rivera, M. (2019). Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing. Chaos (Woodbury, N.Y.), 29(5), 053112. https://doi.org/10.1063/1.5083179
Kumar, Pawan, et al. "Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing." Chaos (Woodbury, N.Y.) vol. 29,5 (2019): 053112. doi: https://doi.org/10.1063/1.5083179
Kumar P, Parmananda P, Verma DK, Singla T, de Nicolás I, Escalona J, Rivera M. Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing. Chaos. 2019 May;29(5):053112. doi: 10.1063/1.5083179. PMID: 31154773.
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Chaos. 2019 May;29(5):053112. doi: 10.1063/1.5083179.

Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing.

Chaos (Woodbury, N.Y.)

Pawan Kumar, P Parmananda, Dinesh Kumar Verma, Tanu Singla, Iram de Nicolás, J Escalona, M Rivera

Affiliations

  1. Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India.
  2. Centro de Investigación en Ciencias - (IICBA), UAEM, Avenida Universidad 1001, Colonia Chamilpa, Cuernavaca, 62209 Morelos, Mexico.

PMID: 31154773 DOI: 10.1063/1.5083179

Abstract

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.

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