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Chaotic evolution optimization: A novel metaheuristic algorithm inspired by chaotic dynamics

Author

Listed:
  • Dong, Yingchao
  • Zhang, Shaohua
  • Zhang, Hongli
  • Zhou, Xiaojun
  • Jiang, Jiading

Abstract

In this paper, a novel population-based metaheuristic algorithm inspired by chaotic dynamics, called chaotic evolution optimization (CEO), is proposed. The main inspiration for CEO is derived from the chaotic evolution process of a two-dimensional discrete memristive map. By leveraging the hyperchaotic properties of the memristive map, the CEO algorithm is mathematically modeled to introduce random search directions for evolutionary processes. Then, the CEO is developed by integrating the crossover and mutation operations from the differential evolution (DE) framework. The proposed algorithm is evaluated by conducting experiments on 15 benchmark test problems and a sensor network localization problem, comparing its performance with 12 other metaheuristic algorithms. Experimental results demonstrate that CEO exhibits highly promising and competitive performance in comparison to widely used, classical, and well-established metaheuristic algorithms. Moreover, CEO effectively addresses the zero-bias problem observed in many recently proposed algorithms. The source code for CEO algorithm will publicly available at: https://github.com/Running-Wolf1010/CEO.

Suggested Citation

  • Dong, Yingchao & Zhang, Shaohua & Zhang, Hongli & Zhou, Xiaojun & Jiang, Jiading, 2025. "Chaotic evolution optimization: A novel metaheuristic algorithm inspired by chaotic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000621
    DOI: 10.1016/j.chaos.2025.116049
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    References listed on IDEAS

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    1. Zhang, Shaohua & Zhang, Hongli & Wang, Cong, 2023. "Memristor initial-boosted extreme multistability in the novel dual-memristor hyperchaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. He, Shaobo & Hu, Kai & Wang, Mengjiao & Wang, Huihai & Wu, Xianming, 2024. "Design and dynamics of discrete dual-memristor chaotic maps and its application in speech encryption," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    3. Bahbouhi, Jalal Eddine & Elkouay, Abdelali & Bouderba, Saif Islam & Moussa, Najem, 2024. "The whale optimization algorithm and the evolution of cooperation in the spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    4. Dennis Weyland, 2010. "A Rigorous Analysis of the Harmony Search Algorithm: How the Research Community can be Misled by a “Novel” Methodology," International Journal of Applied Metaheuristic Computing (IJAMC), IGI Global, vol. 1(2), pages 50-60, April.
    5. Liu, Bo & Wang, Ling & Jin, Yi-Hui & Tang, Fang & Huang, De-Xian, 2005. "Improved particle swarm optimization combined with chaos," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1261-1271.
    6. E. Bonabeau & M. Dorigo & G. Theraulaz, 2000. "Inspiration for optimization from social insect behaviour," Nature, Nature, vol. 406(6791), pages 39-42, July.
    7. Zhao, Qianhan & Bao, Han & Zhang, Xi & Wu, Huagan & Bao, Bocheng, 2024. "Complexity enhancement and grid basin of attraction in a locally active memristor-based multi-cavity map," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    8. Garcia-Martinez, C. & Lozano, M. & Herrera, F. & Molina, D. & Sanchez, A.M., 2008. "Global and local real-coded genetic algorithms based on parent-centric crossover operators," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1088-1113, March.
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