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Poincaré bifurcation of an integrable system with double center perturbed by cubic homogeneous polynomial. (Chinese. English summary) Zbl 1221.37110

MSC:

37J20 Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems
37J30 Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria)