Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 26, Issue 4, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127416500632
Keywords
Reversible pitchfork; point vortices; acoustic forcing; chaos
Funding
- 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
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available