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- W129833921 abstract "Numerical computations have shown that, for a range of values of the parameters, the Lorenz system of three non linear ordinary differential equations of first order has a strange attractor whose structure may be understood quite easily.We show that the same properties can be observed in a simple mapping of the plane defined by: xi+1 = yi + 1 - a x i 2 , yi+1 = b xi. Numerical experiments are carried out for a = 1.4, b = 0.3. Depending on the initial point (xo, yo), the sequence of points obtained by iteration of the mapping either diverges to infinity or tends to a strange attractor, which appears to be the product of a one-dimensional manifold by a Cantor set. This strange attractor has basically the same structure than a plane section of the attractor found for the Lorenz system." @default.
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- W129833921 date "1976-01-01" @default.
- W129833921 modified "2023-09-27" @default.
- W129833921 title "Two strange attractors with a simple structure" @default.
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- W129833921 doi "https://doi.org/10.1007/bfb0091446" @default.
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