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Deterministic nonperiodic flow
Edward N Lorenz · 1963
Earlier work this paper cites.
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D. Ruelle and F. Takens · 1971
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P. Holmes and J. Guckenheimer · 1983
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Z. Zebib · 1987
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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