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It wasn't until recently that scientific knowledge progressed to the point where the distinction between linear and chaotic science began to become apparent. In 1898, a French mathematician named Jacques Hadamard published a study describing the chaotic motion of free particles gliding on a negative curvature. Hadamard was able to show that their trajectories were unstable and unpredictable, diverging exponentially from one another. In the early 1900s, Henri Poincare, the great French mathematician/philosopher/physicist, declared the existence of non-periodic orbits. Both of these discoveries would play a major role in the formation of Chaos Theory 60 years later...
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