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Transversal homoclinic orbits in an integrable system. (English) Zbl 0406.58019

MSC:
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70F99 Dynamics of a system of particles, including celestial mechanics
70F10 \(n\)-body problems
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