期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 26, 期 4, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127416500632
关键词
Reversible pitchfork; point vortices; acoustic forcing; chaos
资金
- RFBR [14-01-00395-a, 15-08-09093-a]
- Russian Science Foundation [15-12-20035]
- Basic Research Program at the National Research University Higher School of Economics (project) [98]
- Laboratory of Algorithms and Technologies for Network Analysis, NRU HSE
- Russian Science Foundation [15-12-20035] Funding Source: Russian Science Foundation
In this paper, we consider a system governing the motion of two point vortices in a flow excited by an external acoustic forcing. It is known that the system of two vortices is integrable in the absence of acoustic forcing. However, the addition of the acoustic forcing makes the system much more complex, and the system becomes nonintegrable and loses the phase volume preservation property. The objective of our research is to study chaotic dynamics and typical bifurcations. Numerical analysis has shown that the reversible pitchfork bifurcation is typical. Also, we show that the existence of strange attractors is not characteristic for the system under consideration.
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