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On the structure of the set of bifurcation points of periodic solutions for multiparameter Hamiltonian systems

On the structure of the set of bifurcation points of periodic solutions for multiparameter Hamiltonian systems

This paper deals with periodic solutions of the Hamilton equation , where and is a parameter. Theorems on global bifurcation of solutions with periods , , from a stationary point are proved. can be singular. However, it is assumed that the local topological degree of ∇xH(·, λ0) at x0 is …