Multistability and enlarged basins of attraction in bidirectional associative memory neural networks

2010 International Conference on Networking, Sensing and Control, ICNSC 2010

Volumn , Issue , 2010, Pages 376-381

  Huang, Yujiao ^a   Wang, Zhanshan ^b   Zhang, Huaguang ^b   Zhang, Tie ^a  

^a NORTHEASTERN UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION FUNCTIONS; ANALYSIS APPROACH; BASINS OF ATTRACTION; BI-DIRECTIONAL ASSOCIATIVE MEMORIES; BI-DIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS; DECOMPOSITION OF STATE SPACE; EXPONENTIALLY STABLE; GENERAL CLASS; INVARIANT SET; MULTISTABILITY; NUMERICAL SIMULATION; POSITIVE INVARIANT SET;

ASSOCIATIVE PROCESSING; ASSOCIATIVE STORAGE; COMPUTER SIMULATION;

NEURAL NETWORKS;

EID: 77953091692     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICNSC.2010.5461531     Document Type: Conference Paper

References (20)

1. L. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Transactions on circuits and systems, vol. 35, no. 10, pp. 1257-1272, 1988.
2. M. Morita, "Associative memory with non-monotone dynamics," Neural Networks, vol. 6, no. 1, pp. 115-126, 1993.
3. H. Wersing, W. Beyn and H. Ritter, "Dynamical Stability Conditions for Recurrent Neural Networks with Unsaturating Piecewise Linear Transfer Functions," Neural Computation, vol. 13, no. 8, pp. 1811-1825, 2001.
4. J. Hopfield, "Neurons with graded response have collective computational properties like those of two sate neurons," Proceedings of the National Academy of Sciences of the United States of America, vol. 81, pp. 3088-3092, 1984.
5. W. He and J. Cao, "Stability and bifurcation of a class of discrete-time neural networks," Applied Mathematical Modelling, vol. 31, no. 10, pp. 2111-2122, 2007.
6. E. Kaslik and S. Balint, "Bifurcation analysis for a two-dimensional delayed discrete-time Hopfield neural network," Chaos, Solitons and Fractals, vol. 34, no. 4, pp. 1245-1253, 2007.
7. R. Hahnloser, "On the piecewise analysis of networks of linear threshold neurons," Neural Networks, vol. 11, no. 4, pp. 691-697, 1998.
8. C. Cheng, K. Lin and C. Shih, "Multistability and convergence in delayed neural networks," Physica D: Nonlinear Phenomena, vol. 225, no. 1, pp. 61-64, 2007.
9. G. Huang and J. Cao, "Multistability in bidirectional associative memory neural networks," Physics Letters A, vol. 372, no. 16, pp. 2842-2854, 2008.
10. C. Cheng, K. Lin and C. Shih, "Multistability in recurrent neural networks," SIAM Journal on Applied Mathematics, vol. 66, no. 4, pp. 1301-1320, 2006.
11. J. Cao, G. Feng and Y. Wang, "Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions," Physica D: Nonlinear Phenomena, vol. 237, no. 13, pp. 1734-1749, 2008.
12. L. Wang, W. Lu and T. Chen, "Multistability and new attraction basins of almost periodic solutions of delayed neural networks,"IEEE Transactions on Neural Networks, in press.
13. X. Nie and J. Cao, "Multistability of competitive neural networks with time-varying and distributed delays," Nonlinear Analysis: Real World Applications, vol. 10, no. 2, pp. 928-942, 2009.
14. Z. Yi, and K. Tan, "Multistability of Discrete-Time Recurrent Neural Networks With Unsaturating Piecewise Linear Activation Functions," IEEE Transactions on Neural Networks, vol. 15, no. 2, pp. 329-336, 2004.
15. Z. Zeng, D. Huang and Z.Wang, "Memory pattern analysis of cellular neural networks," Physics Letters A, vol. 342, no. 1-2, pp. 114-128, 2005.
16. Z. Zeng and J. Wang, "Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks," Neural computation, vol. 18, no. 4, pp. 848-870, 2006.
17. B. Kosko, "Adaptive bidirectional associative memories," Applied optics, vol. 26, no. 23, pp. 4947-4960, 1987.
18. B. Kosko, "Bidirectional associative memories," IEEE Transactions on System, Man, Cybernetics, vol. 18, no. 1, pp. 49-60, 1988.
19. Y. Song, M. Han and J. Wei, "Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays," Physica D: Nonlinear Phenomena, vol. 200, no. 3-4, pp. 185-204, 2005.
20. B.Wang and J. Jian, "Stability and Hopf bifurcation analysis on a fourneuron BAM neural network with distributed delays," Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 2, pp. 189-204, 2010.