Abstract
It is shown that the appearance of higher order resonances (that produce higher order islands on a surface of section), is not an indication of non-integrability. Examples are given and a method is described for constructing integrable Hamiltonians with higher order resonances.
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Contopoulos, G. Higher order resonances in dynamical systems. Celestial Mechanics 18, 195–204 (1978). https://doi.org/10.1007/BF01228716
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DOI: https://doi.org/10.1007/BF01228716