A new chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard quintic form
Orcan Alpar
Abstract:The Bring-Jerrard normal form, achieved by Tschirnhaus transformation of a regular quintic, is a reduced type of the general quintic equation with quartic, cubic and quadratic terms omitted. However, the form itself is an equation opposing the mandatory characteristics of the iterative chaotic maps. Given the form represents the fixed-point equations, it is possible to turn it into a map of iterations. Under specific conditions, the quartic map achieved by transformation from the quintic normal form exhibits c… Show more
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