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Higher order resonances in dynamical systems

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. (11 refs).

Detalles Bibliográficos
Autor principal: Contopoulos, George
Lenguaje:eng
Publicado: 1978
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BF01228716
http://cds.cern.ch/record/879105
Descripción
Sumario: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. (11 refs).