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Analysis of stationary points and their bifurcations in the ABC flow

Published 2 Feb 2018 in physics.flu-dyn | (1802.00551v1)

Abstract: Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node. Exact expressions for eigenvalues and eigenvectors of the stability matrix are given. Behavior of the stationary points along the bifurcation lines is described.

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