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Intermittency route to chaos from adiabatic to resonance regime for the nuclear billiard | | D. Felea
; C. C. Bordeianu
; I. V. Grossu
; C. Besliu
; Al. Jipa
; A. A. Radu
; E. Stan
; | | Date: |
9 Jun 2009 | | Abstract: | We analyze on a simple classical billiard system the onset of chaotical
behaviour in different dynamical regimes. A classical version of the nuclear
billiard with a 2D deep Woods-Saxon potential is used. We take into account the
coupling between the single particle and the collective degrees of freedom in
the presence of dissipation for several vibrational multipolarities. It is
shown that the maximum divergence of the trajectories is achieved in the
resonance regime. A peculiar case of intermittency is reached in the vicinity
of the resonance, when the beats phenomenon occurs. We examine the
order-to-chaos transition by performing several types of analysis including
sensitive dependence on the initial conditions, single-particle phase-space
maps, fractal dimensions of Poincare maps and autocorrelation functions. | | Source: | arXiv, 0906.1715 | | Services: | Forum | Review | PDF | Favorites | |
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