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1. Let me first give a little mathematical background.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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rank preimages, analog computer experiments, saddle manifolds, mixed saddle, transformation ponctuelle, homoclinic points, embedded boxes, saddle fixed point, beat oscillation, frequency entrainment, transversality theory, noninvertible maps, iterated sequences, shattered egg, saddle cycles, coarser structure, unstable cycles, invariant curves, harmonic balance method, chaos research, chaotic sea, basin boundary, bifurcation structure, analog simulation, chaotic attractor
Key Phrases - Capitalized Phrases (CAPs):
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Comptes Rendus Acad, Chaos Avant-Garde, Memories of the Early Days, New York, Kyoto University, Santa Cruz, Chihiro Hayashi, Rio de Janeiro, Soviet Union, Hayashi Laboratory, Christian Mira, Mexico City, United States, Aerial Press, David Ruelle, Mauricio Peixoto, Sciences de Toulouse, University of California, World War, Brookhaven National Laboratory, Columbia University, Masami Kuramitsu, The Impact of Chaos, University of Chicago, Hugh Bruce Stewart
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