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Integrable and chaotic motions of four vortices. I: The case of identical vortices. (English) Zbl 0483.76031


MSC:

76B47 Vortex flows for incompressible inviscid fluids
70H15 Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics
70H05 Hamilton’s equations
70K99 Nonlinear dynamics in mechanics
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
33E05 Elliptic functions and integrals
76M99 Basic methods in fluid mechanics
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