Varga, Roxána and Klapcsik, Kálmán and Hegedűs, Ferenc (2020) Route to shrimps: Dissipation driven formation of shrimp-shaped domains. CHAOS SOLITONS & FRACTALS, 130. ISSN 0960-0779
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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.
Item Type: | Article |
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Uncontrolled Keywords: | Bubble dynamics; BIFURCATION STRUCTURE; Shrimp-shaped domains; GPU programming; High dissipation rate; Keller–Miksis equation; |
Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 28 Sep 2021 16:12 |
Last Modified: | 28 Sep 2021 16:12 |
URI: | http://real.mtak.hu/id/eprint/131143 |
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