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An equation for continuous chaos. (English) Zbl 1371.37062

Summary: A prototype equation to the Lorenz model of turbulence contains just one (second-order) nonlinearity in one variable. The flow in state space allows for a “folded” Poincaré map (horseshoe map). Many more natural and artificial systems are governed by this type of equation.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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References:

[1] Lorenz, E. N., J. Atmos. Sci., 20, 130 (1963)
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