scholarly journals Bifurcations and chaos in the problem of the motion of two point vortices in an acoustic wave

2014 ◽  
pp. 329-343
Author(s):  
E. V. Vetchanin ◽  
◽  
A. O. Kazakov ◽  
Keyword(s):  
2016 ◽  
Vol 26 (04) ◽  
pp. 1650063 ◽  
Author(s):  
E. V. Vetchanin ◽  
A. O. Kazakov

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.


1981 ◽  
Vol 42 (C4) ◽  
pp. C4-365-C4-368
Author(s):  
K. L. Bhatia ◽  
M.v. Haumeder ◽  
S. Hunklinger

1995 ◽  
Vol 165 (10) ◽  
pp. 1145 ◽  
Author(s):  
F.V. Bunkin ◽  
Gennadii A. Lyakhov ◽  
K.F. Shipilov
Keyword(s):  

Author(s):  
Bagus Septyanto ◽  
Dian Nurdiana ◽  
Sitti Ahmiatri Saptari

In general, surface positioning using a global satellite navigation system (GNSS). Many satellites transmit radio signals to the surface of the earth and it was detected by receiver sensors into a function of position and time. Radio waves really bad when spreading in water. So, the underwater positioning uses acoustic wave. One type of underwater positioning is USBL. USBL is a positioning system based on measuring the distance and angle. Based on distance and angle, the position of the target in cartesian coordinates can be calculated. In practice, the effect of ship movement is one of the factors that determine the accuracy of the USBL system. Ship movements like a pitch, roll, and orientation that are not defined by the receiver could changes the position of the target in X, Y and Z coordinates. USBL calibration is performed to detect an error angle. USBL calibration is done by two methods. In USBL calibration Single Position obtained orientation correction value is 1.13 ̊ and a scale factor is 0.99025. For USBL Quadrant calibration, pitch correction values is -1.05, Roll -0.02 ̊, Orientation 6.82 ̊ and scale factor 0.9934 are obtained. The quadrant calibration results deccrease the level of error position to 0.276 - 0.289m at a depth of 89m and 0.432m - 0.644m at a depth of 76m


2014 ◽  
Vol 134 (12) ◽  
pp. 1934-1935
Author(s):  
Tsunemasa Saiki ◽  
Yuya Matsui ◽  
Yasuto Arisue ◽  
Yuichi Utsumi ◽  
Akinobu Yamaguchi

2008 ◽  
Author(s):  
A. Kabulski ◽  
V. R. Pagán ◽  
D. Cortes ◽  
R. Burda ◽  
O. M. Mukdadi ◽  
...  

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