Fast chaotic optimization algorithm based on locally averaged strategy and multifold chaotic attractor

Applied Mathematics and Computation

Volumn 219, Issue 1, 2012, Pages 188-196

  Hamaizia, Tayeb ^a   Lozi, René ^b   Hamri, Nasr Eddine ^c  

^a Universite Mentouri Constantine   (Algeria)

^b UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^c University Center of Mila   (Algeria)

Author keywords

2 D Discrete map; Chaos optimization algorithms; Multifold chaotic attractor; Nonlinear test functions

Indexed keywords

CHAOS OPTIMIZATION ALGORITHM; CHAOTIC ATTRACTORS; CHAOTIC MAP; CHAOTIC OPTIMIZATION ALGORITHM; NONLINEAR FUNCTIONS; NOVEL TECHNIQUES; NUMERICAL SEQUENCE; OPTIMIZATION TECHNIQUES; TEST FUNCTIONS;

ALGORITHMS; CHAOTIC SYSTEMS; OPTIMIZATION;

GLOBAL OPTIMIZATION;

EID: 84864276784     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.05.062     Document Type: Conference Paper

References (39)

1. B. Li, and W.S. Jiang Chaos optimization method and its application Journal of Control Theory and Application 14 4 1997 613 615
2. B. Li, and W.S. Jiang Optimizing complex function by chaos search Cybernetics and Systems 29 4 1998 409 419
3. C. Choi, and J.J. Lee Chaotic local search algorithm Artificial Life and Robotics 2 1 1998 41 47
4. C. Zhang, L. Xu, and H. Shao Chaos optimization algorithm based on linear search and its application to nonlinear constraint optimization problems Chinese Journal of Control and Decision 16 1 2001 123 128
5. D. Yang, G. Li, and G. Cheng On the efficiency of chaos optimization algorithms for global optimization Chaos, Solitons and Fractals 34 4 2007 1366 1375
6. M.S. Tavazoei, and M. Haeri Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms Applied Mathematics and Computation 187 2 2007 1076 1085
7. M.S. Tavazoei, and M. Haeri An optimization algorithm based on chaotic behavior and fractal nature Journal of Computational and Applied Mathematics 206 2 2007 1070 1081
8. S.H. Strogatz Nonlinear Dynamics and Chaos 2000 Perseus Publishing Massachussetts
9. R. Caponetto, L. Fortuna, S. Fazzino, and M.G. Xibilia Chaotic sequences to improve the performance of evolutionary algorithms IEEE Transactions on Evolutionary Computation 7 3 2003 289 304
10. X.X. Wu, and Z. Chen Introduction of Chaos Theory 1996 Shanghai Science and Technology, Bibliographic Publishing House
11. Y.X. Ou-Yang, M. Tang, S.L. Liu, and J.X. Dong Combined BFGS-chaos method for solving geometric constraint. Zhejiang Daxue Xuebao (Gongxue Ban) Journal of Zhejiang University (Engineering Science) 39 9 2005 1334 1338
12. C.G. Fei, and Z.Z. Han A novel chaotic optimization algorithm and its applications Journal of Harbin Institute of Technology (New Series) 17 2 2010 254 258
13. B. Liu, L. Wang, Y.H. Jin, F. Tang, and D.X. Huang Improved particle swarm optimization combined with chaos Chaos, Solitons and Fractals 25 5 2005 1261 1271
14. J.A. Tenreiro Machado Optimal tuning of fractional controllers using genetic algorithms Nonlinear Dynamics 62 1-2 2010 447 452
15. R.Q. Chen, and J.S. Yu Study and application of chaos-particle swarm optimization-based hybrid optimization algorithm, Xitong Fangzhen Xuebao Journal of System Simulation 20 3 2008 685 688
16. H.J. Meng, P. Zheng, R.Y. Wu, X.-J. Hao, Z. Xie, A hybrid particle swarm algorithm with embedded chaotic search, in: Proceedings of IEEE Conference on Cybernetics and Intelligent Systems, Singapore, 2004, 367-371.
17. B. Alatas, E. Akin, and A.B. Ozer Chaos embedded particle swarm optimization algorithms Chaos, Solitons and Fractals 40 4 2009 1715 1734
18. Z.Y. Guo, L.Y. Kang, B. Cheng, M. Ye, and B.G. Cao Chaos differential evolution algorithm with dynamically changing weighting factor and crossover factor, Harbin Gongcheng Daxue Xuebao Journal of Harbin Engineering University 27 Suppl. 2006 523 526
19. Z. Wei, F. Ge, Y. Lu, L. Li, and Y. Yang Chaotic ant swarm for the traveling salesman problem Nonlinear Dynamics 65 3 2011 271 281
20. H. Du, M. Gong, R. Liu, and L. Jiao Adaptive chaos clonal evolutionary programming algorithm Science in China, Series F: Information Sciences 48 5 2005 579 595
21. W.H. Ho, J.H. Chou, and C.Y. Guo Parameter identification of chaotic systems using improved differential evolution algorithm Nonlinear Dynamics 61 2010 29 41
22. X.Q. Zuo, and Y.S. Fan Chaotic-search-based immune algorithm for function optimization Control Theory and Applications 23 6 2006 957 960
23. X.Q. Zuo, and S.Y. Li The chaos artificial immune algorithm and its application to RBF neuro-fuzzy controller design Proceedings of the IEEE International Conference on Systems, Man and Cybernetics 3 2003 2809 2814
24. B. Alatas Chaotic bee colony algorithms for global numerical optimization Expert Systems with Applications 37 8 2010 5682 5687
25. J. Mingjun, and T. Huanwen Application of chaos in simulated annealing Chaos, Solitons and Fractals 21 4 2004 933 941
26. M. Hénon A two dimensional mapping with a strange attractor Communications in Mathematical Physics 50 1976 69 77
27. R. Lozi Un attracteur étrange? du type attracteur de Hénon Journal of Physique 39 C5 1978 9 10
28. J.C. Sprott Chaos and Times-Series Analysis 2003 Oxford University Press Oxford, UK
29. B.R. Hunt, J.A. Kennedy, T.Y. Li, and H. Nusse The Theory of Chaotic Attractors 2004 Springer-Verlag New-York
30. C∞-multifold chaotic attractors Electronic Journal of Theoritical Physics 5 17 2008 107 120
31. A. Aziz-Alaoui, C. Robert, and C. Grebogi Dynamics of a Hénon-Lozi map Chaos, Solitions Fractals 12 11 2001 2323 2341
32. M. Misiurewicz Strange attractors for the lozi mappings, annals of the new york academy of sciences Nonlinear Dynamics 357 1980 348 358
33. A. Sakurai Orbit shifted shadowing property of generalized lozi maps Taiwanese Journal of Mathematics 14 4 2010 1609 1621
34. L.D.S. Coelho Tuning of PID controller for an automatic regulator voltage system using chaotic optimization approach Chaos, Solitons and Fractals 39 4 2009 1504 1514
35. T. Hamaizia, R. Lozi, Improving chaotic optimization algorithm using a new global locally averaged strategy, in: Proceedings ENPACS, 2011.
36. H. Shayeghi, S. Jalilzadeh, H.A. Shayanfar, A. Safari, Robust PSS design using chaotic optimization algorithm for a multimachine power system, in: ECTI-CON 2009, Pattaya, Thailand, 2009, 40-43.
37. H. Shayeghi, H.A. Shayanfar, S. Jalilzade, and A. Safari A PSO based unified power flow controller for damping of power system oscillations Energy Conversion and Management 50 10 2009 2583 2592
38. S. Cong, G. Li, X. Feng, An improved algorithm of chaos optimization, in: Proceedings 8th IEEE International Conference on Control and Automation, 2010.
39. T. Hamaizia, and R. Lozi An improved chaotic optimization algorithm using a new global locally averaged strategy Journal of Nonlinear Systems and Applications 3 2 2012 58 63