Journal
CHAOS SOLITONS & FRACTALS
Volume 130, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2019.109424
Keywords
Shrimp-shaped domains; GPU programming; Bifurcation structure; High dissipation rate; Keller-Miksis equation; Bubble dynamics
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Funding
- New National Excellence Program of the Ministry of Human Capacities [UNKP-16-3-I]
- Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences
- Higher Education Excellence Program of the Ministry of Human Capacities of Budapest University of Technology and Economics (BME FIKP-VIZ)
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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. (C) 2019 Elsevier Ltd. All rights reserved.
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