Analysis of stationary points and their bifurcations in the ABC-flow

A.A. Didov and M.Yu. Uleysky

Applied Mathematics and Computation, 2018, vol. 330, issue C, 56-64

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.

Keywords: ABC-flow; Stationary points; Stability matrix; Bifurcations (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:330:y:2018:i:c:p:56-64

DOI: 10.1016/j.amc.2018.02.032

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