Route to shrimps: Dissipation driven formation of shrimp-shaped domains

Roxána Varga, Kálmán Klapcsik and Ferenc Hegedűs

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: In this paper, two scenarios for the formation of shrimp-shaped domains [1] are presented. The employed test model is the Keller–Miksis equation that is a second order, harmonically forced nonlinear oscillator describing the dynamics of a single spherical gas bubble placed in a liquid domain. The results have shown that with an increasing dissipation rate (liquid viscosity), shrimp-shaped domains are evolved within the complex structure of each subharmonic resonances in the amplitude-frequency parameter plane of the external forcing. The mechanism is the coalescence and interaction of two pairs of a period-doubling and a saddle-node codimension-two bifurcation curves.

Keywords: Shrimp-shaped domains; GPU programming; Bifurcation structure; High dissipation rate; Keller–Miksis equation; Bubble dynamics (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303650

DOI: 10.1016/j.chaos.2019.109424

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