Chaotic neural networks and their application to optimization problems

Kongzhi Lilun Yu Yingyong/Control Theory and Applications

Volumn 17, Issue 6, 2000, Pages

  He, Yuyao ^a   Wang, Lipo ^b  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Neural networks; Simulated annealing; Transient chaos; Travelling salesman problem

Indexed keywords

EID: 26844522272     PISSN: 10008152     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Reeves CR. Modern Heuristic Techniques for Combinatorial Problems [M]. Oxford: Blackwell, 1993.
2. Zanakis S H, Evans J R and Vazacopoulos A A. Heuristic methods and applications: a categorized survey [J]. Europ. J. Operat. Res., 1989,43(1):88-110.
3. Hopfield J J and Tank D W. "Neural" computation of decisions in optimization problems [J]. Biol. Cybern., 1985,52(1):141-152.
4. Hopfield J J. Neural networks and physical systems with emergent collective computational abilities [J]. Prcc. Natl. Acad. Sci., 1982,79(4):2554-2558.
5. Hopfield J J. Neurons with graded response have collective computational properties like those of two-state neurorts [J]. Proc. Natl. Acad. Sci., 1984,81(5):3088-3092.
6. Wilson G V and Pawley G S. On the stability of the traveling sales man problem algorthm of Hopfield and Tank [J]. Biol. Cybera., 1988,58(1):63-70.
7. Aihara K, Takabe T and Toyoda M. Chaotic neural networks [J]. Physios Letter A, 1990,144(6,7):333-340.
8. Chen L and Aihara K. Chaotic simulated annealing by a neural network model with transient chaos [J]. Neural Networks, 1995,8(6):915-930.
9. Wang L and Smith K. On chaotic simulated annealing [J]. IEEE Transactions on Neural Networks, 1998,9(4):716-718.
10. Hayakawa Y. Marumoto A and Sawada Y. Effects of the chaotic noise on the performance of a neural network model for optimization problems [J]. Physical Review E,1995,51(4):2693-2696.