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The Lorenz Equations: Bifurcations, Chaos, And Strange Attractors (Applied Mathematical Sciences, Vol. 41) (Applied Mathematical,New Penguin Uk And Even A Nondenominational ChapelThe Equations Which We Are Going To Study In These Notes Were First Presented In 1963 By E. N. Lorenz. They Define A Threedimensional System Of Ordinary Differential Equations That Depends On Three Real Positive Parameters. As We Vary The Parameters, We Change The Behaviour Of The Flow Determined By The Equations. For Some Parameter Values, Numerically Computed Solutions Of The Equations Oscillate, Apparently Forever, In The Pseudorandom Way We Now