Solution to a well known non-linear system of ordinary differential equations, adapted from E. N. Lorenz, 1963, "Deterministic Nonperiodic Flow," Journal of the Atmospheric Sciences, 20(2): 130-141.

"Is mathematical analysis...only a vain play of the mind? It can give to the physicist only a convenient language; is this not a mediocre service, which, strictly speaking, could be done without; and even is it not to be feared that this artificial language may be a veil interposed between reality and the eye of the physicist? Far from it; without this language most of the intimate analogies of things would have remained forever unknown to us; and we should forever have been ignorant of the internal harmony of the world, which is...the only true objective reality."--- Henri Poincaré (1854-1912), The Value of Science, The Science Press: New York, 1907, p. 13.

AME 60611

Mathematical Methods I

Fall 2013

J. M. Powers

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