Title: Bat algorithm with Gaussian walk for directing orbits of chaotic systems

Authors: Xingjuan Cai; WuZhao Li; Lei Wang; Qi Kang; Qidi Wu; Xiaonan Huang

Addresses: Department of Control Science and Engineering, Tongji University, Shanghai, 201804, China; Complex System and Computational Intelligence Laboratory, Taiyuan University of Science and Technology, 030024, China ' Department of Control Science and Engineering, Tongji University, Shanghai, 201804, China; Department of Electrical and Mechanical Engineering, Jiaxing Vocational Technical College, Jiaxing, 314036, China ' Department of Control Science and Engineering, Tongji University, Shanghai, 201804, China; Shanghai Key Laboratory of Financial Information Technology, Shanghai University of Finance and Economics, Shanghai, 200433, China ' Department of Control Science and Engineering, Tongji University, Shanghai, 201804, China ' Department of Control Science and Engineering, Tongji University, Shanghai, 201804, China ' College of Computer Science and Technology, Jilin University, Changchun, 130012, China

Abstract: Bat algorithm with Gaussian walk (BAGW) is a new variant of bat algorithm aiming to improve the computational efficiency. In BAGW, a Gaussian walk is employed in the local turbulence instead of the original uniform walk, so that the search efficiency of exploitation capability is controllable. Furthermore, to keep the high exploitation pressure, the velocity update equation is also changed. In this paper, BAGW is applied to solve the directing orbits of chaotic systems. To test its performance, the standard version bat algorithm and bat algorithm with Levy flight are employed to compare, simulation results show BAGW is superior to other two algorithms.

Keywords: bat algorithm; Gaussian walk; chaotic systems; chaos; directing orbits; local turbulence; search efficiency; simulation.

DOI: 10.1504/IJCSM.2014.064070

International Journal of Computing Science and Mathematics, 2014 Vol.5 No.2, pp.198 - 208

Received: 28 Feb 2014
Accepted: 11 Mar 2014
Published online: 20 Sep 2014 *

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