An equation for hyperchaos (Q701687)

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scientific article; zbMATH DE number 1824828
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An equation for hyperchaos
scientific article; zbMATH DE number 1824828

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    An equation for hyperchaos (English)
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    7 November 2002
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    The author investigates a four-variable oscillator that contains only one nonlinear quadratic term. By numerical simulation it is shown that the quadratic term produces chaos with two directions of hyperbolic instability on the attractor. He conjectures that in case this result is valid for systems of higher dimension than 4, turbulences may involve more than one direction of lateral instability, so turbulence may be hyperchaos of high order.
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