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Skeleton of a Chaotic Attractor.

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Periodic Orbits in a Chaotic Attractor. Only cycles on the topmost level of the Farey tree are shown. The rotation numbers are 1/5, 1/6, 1/7, 1/8 and 1/9. Note that there are two cycles for each rotation number. The large crosses denote cycles which, in the conservative limit, are elliptic and destabilized by period-doubling, i.e., by emitting period-doubled orbits. The small crosses denote cycles which, in the conservative limit, are saddles.

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VIEWING OPTIONS

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• Return to Text.
• Attractor.
• Attractor Color-Coded by Period.
• Attractor Color-Coded by Mean Peak-to-Peak Interval.
• Attractor Color-Coded by Mean Peak-to-Peak Interval with Skeleton Superimposed.
• Frequency Distribution of Periods.
• Frequency Distribution of Mean Peak-to-Peak Times.

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