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The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors (Applied Mathematical Sciences)
The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors (Applied Mathematical Sciences)
Date: 12 April 2011, 13:17

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The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As we vary the parameters, we change the behavior of the flow determined by the equations. For some parameter values, numerically computed "Solutions of the equations oscillate, apparently forever, in the pseudo-random way we now call "chaotic"; this is the main reason for the immense amount of interest generated by the equations in the eighteen years since Lorenz first presented them.

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