Abstract
The problem of the stability of the equilibrium position of a nonautonomous 2λ pperiodic Hamiltonian system with two degrees of freedom, in a nonlinear setting, is examined in the case when the multipliers of the linearized system are equal and correspond to a combination-type parametric resonance. The cases of prime and nonprime elementary divisors of the linear system's characteristic matrix are studied. Stability in a finite approximation, and formal stability or instability of the equilibrium position are proved, depending on the coefficients of the Hamilton function.Computation formulas are quoted.
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