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- W2098283073 abstract "The system considered is a chain of spheres bound harmonically to equidistant points and colliding elastically. This is the so-called ding-dong model of Prosen and Robnik, 1992. For 3 spheres we investigate the transition from chaos to quasiperiodicity in a numerical experiment. The character of motion is determined by calculation of the box counting fractal dimension of the t(n + 1) versus t (n) plot, where t (n) is a time between an nth and an (n+1)th collision between spheres. The result is that the transition occurs at many regions of the phase space for all values of the total energy. We conclude that, in the contrast to what was suggested by other authors, the character of motion cannot be deduced from one parameter." @default.
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- W2098283073 date "2000-03-01" @default.
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- W2098283073 title "QUASIPERIODIC AND CHAOTIC STATES IN THE DING-DONG MODEL FOR N = 3" @default.
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- W2098283073 doi "https://doi.org/10.1142/s0129183100000237" @default.
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