First Sentence:
Chaotic dynamics may be said to have started with the work of the French mathematician Henri Poincare at about the turn of the century.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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nonattracting chaotic sets, frequency quasiperiodicity, driven damped pendulum equation, period one saddle, forced damped pendulum equation, inverse period doubling bifurcation, unstable manifold segments, natural invariant density, chaotic invariant set, bubbling transition, strange nonchaotic attractors, arbitrarily fine scale, final state sensitivity, period one orbit, band attractor, fat fractals, period three orbit, attracting period, attractor measure, period two orbit, horseshoe map, generalized synchronization, symplectic condition, fractal basin boundaries, intermittency transition
Key Phrases - Capitalized Phrases (CAPs):
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N-dimensional Cartesian, Ozorio de Almeida
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