Bifurcations and chaos in the problem of the motion of two point vortices in an acoustic wave
Evgeny V. Vetchanina, Alexey O. Kazakovb
a Udmurt State University, Universitetskaya 1, Izhevsk, 426034 Russia
b Lobachevsky State University of Nizhny Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia
This paper is concerned with the dynamics of two point vortices of the same intensity which are affected by an acoustic wave. Typical bifurcations of fixed points have been identified by constructing charts of dynamical regimes, and bifurcation diagrams have been plotted.
point vortices, nonintegrability, bifurcations, chart of dynamical regimes.
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Evgeny V. Vetchanin, Alexey O. Kazakov, “Bifurcations and chaos in the problem of the motion of two point vortices in an acoustic wave”, Nelin. Dinam., 10:3 (2014), 329–343
Citation in format AMSBIB
\by Evgeny~V.~Vetchanin, Alexey~O.~Kazakov
\paper Bifurcations and chaos in the problem of the motion of two point vortices in an acoustic wave
\jour Nelin. Dinam.
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