Title: Chaotic particle swarm optimisation for fitting magnetic spin parameters of transition metal complexes

Authors: Hui Zheng; Jing Jie; Xiao-Li Wu

Addresses: School of Automation and Electric Engineering, Zhejiang University of Science and Technology, Hangzhou, 310023, China ' School of Automation and Electric Engineering, Zhejiang University of Science and Technology, Hangzhou, 310023, China ' School of Automation and Electric Engineering, Zhejiang University of Science and Technology, Hangzhou, 310023, China

Abstract: Magnetic properties analysis of transition metal complexes is a challenging problem due to the high non-linearity of variable temperature magnetic susceptibility. This paper proposes a chaotic particle swarm optimisation (CPSO) to fit the optimal magnetic spin parameters. CPSO adopts adaptive chaotic search strategy guided by mean swarm velocity to maintain the swarm diversity and prompt the search efficiency of particles. Moreover, four different chaotic maps are separately introduced into CPSO, and the four kinds of CPSO are analysed to evaluate each chaotic distribution how to influence global convergence of the algorithm. The relative analysis and the simulation results on a magnetic spin of nickel atoms using various mixed anionic ligands verify the chaotic technique can improve the optimal capability of PSO validly, especially Bernouilli shift chaotic map, which can contribute to the swarm diversity of PSO greatly and get the best global search performance in four kinds of CPSO.

Keywords: chaotic PSO; particle swarm optimisation; CPSO; Bernouilli shift map; variable temperature magnetic susceptibility; magnetic spin parameters; swarm diversity.

DOI: 10.1504/IJCSM.2014.064058

International Journal of Computing Science and Mathematics, 2014 Vol.5 No.2, pp.165 - 173

Received: 22 May 2013
Accepted: 31 Aug 2013
Published online: 20 Sep 2014 *

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