Relative Equilibria in the 4-Vortex Problem Bifurcating from an Equilateral Triangle Configuration

DOI10.21042/AMNS.2016.1.00025zbMath1386.76087MaRDI QIDQ4597656

Claudia Tamayo, Ernesto Pérez-Chavela

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

zbMATH Keywords

relative equilibria\(n\)-vortex problembifurcations of relative equilibria

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems approach to turbulence (76F20)

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Uses Software

• VortexCalculations

Cites Work

• Central configurations of the 4-body problem with masses \(m_1 = m_2 > m_3 = m_4 = m > 0\) and \(m\) small
• Relative equilibria in the four-vortex problem with two pairs of equal vorticities
• The \(n\)-body problem and mutual distances
• Collisions and regularization for the 3-vortex problem
• Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities
• Symmetry of planar four-body convex central configurations
• Point vortex dynamics: A classical mathematics playground
• Bifurcations of relative equilibria in the 4- and 5-body problem
• The \(N\)-vortex problem. Analytical techniques

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