Abstract
The stroboscopic map of some nonlinear dynamical systems can be described by means of a series expansion with only few non-trivial coefficients, provided that the frequency of the stroboscope coincides with the basic frequency of the oscillator. An analytic representation of such a ‘simple’ map can be obtained by the following two methods: (i) analytical integration of the ordinary differential equation, or (ii) numerical integration on a discrete grid scheme and subsequent approximation by an appropriate series of functions.
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Dedicated to Professor Harry Thomas on the occasion of his 60th birthday
Part of Ph.D. thesis
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Eberl, W., Kuchler, M., Hübler, A. et al. Analytical representation of stroboscopic maps of ordinary nonlinear differential equations. Z. Physik B - Condensed Matter 68, 253–258 (1987). https://doi.org/10.1007/BF01304236
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DOI: https://doi.org/10.1007/BF01304236