DETERMINISTIC CHAOS PRODUCED BY LOCAL OPTIMISATION ALGORITHMS
V. E. Podobedov · Technological and Economic Development of Economy · 2007
Deterministic chaos situations produced by local optimisation algorithms are considered. A family of test multi‐extremal functions is proposed that allows getting the collections of functions with an arbitrary pre‐defined number of the local optima. Special software is developed for generating test functions from the family, performing multiple local optimisations of different initial points, visualising the chaotic attraction regions. Properties of the regions of attraction are presented. Regularity of the attraction regions is required to be a special characteristic of the local optimisation algorithms.