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

Vetchanin E. V.; Kazakov A. O.

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

2014, Vol. 10, No. 3, pp. 329-343

Author(s): Vetchanin E. V., Kazakov A. O.

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.

Keywords: point vortices, nonintegrability, bifurcations, chart of dynamical regimes

Citation: Vetchanin E. V., Kazakov A. O., Bifurcations and chaos in the problem of the motion of two point vortices in an acoustic wave, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 3, pp. 329-343

DOI:10.20537/nd1403007

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