Wavelet analysis of the standard map: Structure and scaling |
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Authors: | A D Gilbert C Froeschlé U Frisch |
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Institution: | (1) Observatoire de Nice, B.P. 229, 06304 Nice Cedex 4, France;(2) D.A.M.T.P., Silver St., CB3 9EW Cambridge, UK;(3) Observatoire de Nice, B.P. 229, 06304 Nice Cedex 4, France |
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Abstract: | Wavelet analysis is applied to distributions of points generated by iterating the standard map. The initial condition is chosen so that the points fill the largest chaotic region. When the standard map parameterk=1.3, the distribution of points contains many voids corresponding to islands in the chaotic region. The wavelet transform is dominated by contributions from these islands. Fork=10 the chaos fills phase space and no structure is apparent; the wavelet transform reveals statistical fluctuations in the distribution of points. |
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Keywords: | Wavelet analysis standard mapping chaotic motion |
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