F(α) Spectrum of Pruned Baker's Map
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Abstract We study in detail the evolution of fractal structure within a two dimensional hyperbolic baker's map with a complete set of unstable orbits. The evolution of fractal structure within the phase space of the map is related to changes in an associated Cantor set, and this evolution is studied via their corresponding /(a) spectra. Numerical calculations of unstable periodic orbits for a related baker's map, with an incomplete set of unstable orbits, is investigated and directly related to, and characterized by, a pruned Cantor set. The effect of the pruning on the associated /(a) spectrum of the baker's map is analyzed.
1988 ◽
Vol 80
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pp. 923-928
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2018 ◽
Vol 28
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pp. 1830042
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1995 ◽
Vol 05
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pp. 275-279
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2011 ◽
Vol 21
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pp. 2331-2342
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2000 ◽
Vol 5
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pp. 107-120
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1966 ◽
Vol 25
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pp. 46-48
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