On the heteroclinic orbit of the point vortex problem

DOI10.1016/S0362-546X(97)00170-3zbMath0893.34040OpenAlexW2055286070MaRDI QIDQ4375993

Tatsuyuki Nakaki

Publication date: 24 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00170-3

zbMATH Keywords

dynamicsHamiltoniandifferential equationssteady state solutionsheteroclinic connections

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ordinary differential equations in the complex domain (34M99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Mathematical theory of incompressible nonviscous fluids
• Integrable and chaotic motions of four vortices. I. The case of identical vortices
• Motion of three vortices
• On the equilibrium and stability of a row of point vortices

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