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

Analysis of stationary points and their bifurcations in the ABC-flow
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2018Embargo end date: 01 Jan 2018 English Publisher:Elsevier BVJournal:Applied Mathematics and Computation, volume 330, pages 56-64 (issn: 0096-3003, Copyright policy )
Authors: A. A. Didov; M. Yu. Uleysky;

doi: 10.1016/j.amc.2018.02.032 , 10.48550/arxiv.1802.00551

arXiv: 1802.00551

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

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.

Related Organizations
Keywords

ABC-flow, Navier-Stokes equations for incompressible viscous fluids, stationary points, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, stability matrix, Physics - Fluid Dynamics, PDEs in connection with fluid mechanics, bifurcations

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze