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big-O notation |
metric spaces |
1. Dynamical systems
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continuous time |
discrete time | diffeos |
2. From order to chaos
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period- doubling | scaling |
tangent bifurcations |
3. Chaos
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chaos |
doubling map |
4. Chaos and probability
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measure |
invariant measure | conjugacy |
5. Fractals
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2D maps | fractals | IFS | figures |
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