Parameter estimation for chaotic systems by hybrid differential evolution algorithm and artificial bee colony algorithm

Nonlinear Dynamics

Volumn 77, Issue 1-2, 2014, Pages 61-71

  Li, Xiangtao ^a   Yin, Minghao ^a  

^a NORTHEAST NORMAL UNIVERSITY   (China)

Author keywords

Artificial bee colony; Chaotic system; Differential evolution algorithm; Exploitation; Exploration; Parameter estimation

Indexed keywords

CHAOTIC SYSTEMS; GENETIC ALGORITHMS; NATURAL RESOURCES EXPLORATION; PARAMETER ESTIMATION; PARTICLE SWARM OPTIMIZATION (PSO); POWER SUPPLY CIRCUITS;

ARTIFICIAL BEE COLONIES; ARTIFICIAL BEE COLONY ALGORITHMS; DIFFERENTIAL EVOLUTION; DIFFERENTIAL EVOLUTION ALGORITHMS; EXPLOITATION; HYBRID DIFFERENTIAL EVOLUTION ALGORITHM; NONLINEAR CHAOTIC SYSTEMS; OPTIMIZATION PROBLEMS;

ALGORITHMS;

EID: 84902253889     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-014-1273-9     Document Type: Article

References (22)

1. Chen, G., Dong, X.: From Chaos to Order: Methodologies, Perspectives, and Applications. World Scientific, Singapore (1998)
2. Dai, D., Ma, X.K., Li, F.C., You, Y.: An approach of parameter estimation for a chaotic system based on genetic algorithm. Acta Phys. Sinica 11, 2459-2462 (2002)
3. He, Q., Wang, L., Liu, B.: Parameter estimation for chaotic systems by particle swarm optimization. Chaos Solitons Fractals 34, 654-661 (2007)
4. Inés, P.M., Joaquín, M.: An approximate gradient-descent method for joint parameter estimation and synchronization of coupled chaotic systems. Phys. Lett. A. 351, 262-267 (2006)
5. Li, L.X., Yang, Y.X., Peng, H.P., Wang, X.D.: Parameters identification of chaotic systems via chaotic ant swarm. Chaos Solitons Fractals 28, 1204-1211 (2006)
6. Peng, B., Liu, B., Zhang, F.Y., Wang, L.: Differential evolution algorithm based parameter estimation for chaotic systems. Chaos Solitons Fractals 39, 2110-2118 (2009)
7. Wang, L., Tang, F., Wu, H.: Hybrid genetic algorithm based on quantum computing for numerical optimization and parameter estimation. Appl. Math. Comput. 171, 1141-1156 (2005)
8. Sun, J., Zhao, J., Wu, X.J., Fang, W., Cai, Y.J., Xu, W.B.: Parameter estimation for chaotic systems with a Drift Particle Swarm Optimization method. Phys. Lett. A. 374, 2816-2822 (2010)
9. Xu, Y., Wang, L.: An effective hybrid biogeography-based optimization algorithm for parameter estimation of chaotic systems. Expert Syst. Appl. 30, 15103-15109 (2011)
10. Wang, L., Li, L.P.: An effective hybrid quantum-inspired evolutionary algorithm for parameter estimation of chaotic systems. Expert Syst. Appl. 37, 1279-1285 (2010)
11. Storn, R., Price, K.: Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11, 341-359 (1997)
12. Karaboga, D., Basturk, B.: On the performance of artificial bee colony (ABC) algorithm. Appl. Soft Comput. 8, 687-697 (2008)
13. Chahkandi, V., Yaghoobi, M., Veisi, G.: CABC-CSA: a new chaotic hybrid algorithm for solving optimization problems. Nonlinear Dyn. 73, 1-10 (2013)
14. Chen, C.H.: Compensatory neural fuzzy networks with rule-based cooperative differential evolution for nonlinear system control. Nonlinear Dyn. 75, 1-12 (2013)
15. Sun, J., Zhang, Q., Tsang, E.: DE/EDA: a new evolutionary algorithm for global optimization. Inf. Sci. 169, 249-262 (2004)
16. Kim, D.H., Abraham, A., Cho, J.H.: A hybrid genetic algorithm and bacterial foraging approach for global optimization. Inf. Sci. 177, 3918-3937 (2007)
17. Choi, D.H.: Cooperative mutation based evolutionary programming for continuous function optimization. Oper. Res. Lett. 30(3), 195-201 (2002)
18. Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evolut. Comput. 15, 4-31 (2011)
19. Karaboga, D., Gorkemli, B., Ozturk, C., Karaboga, N.: A comprehensive survey: artificial bee colony (ABC) algorithm and applications. Artif. Intell. Rev. 1, 1-37 (2012)
20. Lorenz, E.N.: Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130-141 (1963)
21. Chen, G., Ueta, T.: Yet another chaotic attractor. Int. J. Bifurcat. Chaos. 9, 1465-1466 (1999)
22. Lüand, J., Chen, G.: A new chaotic attractor coined. Int. J. Bifurcat. Chaos. 12, 659-661 (2002)