Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors. (English) Zbl 0892.58066
Summary: We study numerically the complex domains of validity for KAM theory in generalized standard mappings. We compare methods based on Padé approximants and methods based on the study of periodic orbits.
MSC:
| 37J40 | Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion |
| 37F99 | Dynamical systems over complex numbers |
Keywords:
domains of analyticity; perturbation; small divisors; KAM theory; Padé approximants; periodic orbits; Green’s criterion; breakdown of toriReferences:
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