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The (numerical) treatment of Hamiltonian systems has been extended considerably by removing restrictions on the perturbation in the Hamiltonian function. In two sample cases of usual Fourier type more than 1.0 x E7 transition points through Poincaré cross sections have been used. A study of the cases as function of the perturbation amplitude shows the well-known build-up of chaotic regions but also a continuous transition to a new order. Essential differences from Markovian chaos are pointed out. The evolution of the maps with perturbation amplitude resembles flow patterns. This hydrodynamic analysis is followed in contour maps of the momentum variable p up to the formation of "p-vortices" as the basic structure of the "chaotic" regions.

Additional information

Authors: MONTVAI A, CRIP, Budapest (HU);DÜCHS D F, JET Joint Undertaking, Abingdon, Oxon. (GB)
Bibliographic Reference: Report: JET-P(89)75 EN (1989) 11 pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 199011401 / Last updated on: 1994-12-01
Original language: en
Available languages: en