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Integrability of one particle in a perturbed central quartic potential. (English) Zbl 1063.70521


MSC:

70H05 Hamilton’s equations
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
70H20 Hamilton-Jacobi equations in mechanics
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