The squeeze effect in non-integrable Hamiltonian systems

J.P. Van der Weele, H.W. Capel, T.P. Valkering and T. Post

Physica A: Statistical Mechanics and its Applications, 1988, vol. 147, issue 3, 499-532

Abstract: In non-integrable Hamiltonian systems (represented by mappings of the plane) the stable island around an elliptic fixed point is generally squeezed into the fixed point by three saddle points, when the rotation number ρ of the motion at the fixed point approaches 13. At ρ=13 the island is reduced to one single point.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:147:y:1988:i:3:p:499-532

DOI: 10.1016/0378-4371(88)90167-7

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