On the use of Modified Lozi map in Two phase local global Chaotic search algorithm

Abstract

Recently, chaos theory has been used in the development of novel techniques for global optimization [3,4], and especially, in the specifi cation of chaos optimization algorithms (COA) based on the use of numerical sequences generated by means of a chaotic map instead of random number generators. There has no strict defi nition of chaos and there are many chaos models now, Logistic mapping function is widely used to generate chaos, but research shows that its sequence isn't symmetrical, which aff ects capability of chaos search. Our main conceptual contributions are to prove the algorithm with other types of chaotic maps and techniques for sampling. In this paper, a chaotic strategy is proposed based on a modifi ed Lozi map a new two-dimensional discrete chaotic attractor. Experiments results showed that the proposed algorithm can achieve good performance.