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Existence of diffusion orbits in a priori unstable Hamiltonian systems. (English) Zbl 1098.37055
The authors study generic perturbations of a priori unstable Hamiltonian systems which have two degrees of freedom and are time-periodic, and give a complete proof of the existence of diffusion orbits by using a variational method.

MSC:
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
37J50 Action-minimizing orbits and measures (MSC2010)
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