Abstract
In this paper, we investigate response properties to inputs of memory pattern fragments in chaotic wandering states among three types of chaotic neural network (CNN) models, related with the instability of their orbits. From the computer experiments, Aihara model shows the highest success ratio and the shortest steps for all the memory pattern fragments. On the other hand, Nara & Davis model and Kuroiwa & Nara model show quite higher success ratio and shorter averaged steps than random search. Thus, choas in the three model is practical in the memory pattern search.
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References
Aihara, K., Matsumoto, G.: Chaotic oscillations and bifurcations in squid giant axons. In: Holden, A.V. (ed.) Chaos, pp. 257–269. Manchester University and Princeton University Press, Princeton (1987)
Freeman, W.J., Skarda, C.: How brains make chaos in order to make sense of the world. Behavioral and Sciences 10, 161–195 (1987)
Nara, S., Davis, P., Kawachi, M., Totsuji, H.: Chaotic Memory Dynamics in a Recurent Neural Network with Cycle Memories Embeded by Pseudoinverse Method. Int. J. Bifurcation & Chaos 5, 1205–1212 (1995)
Nara, S.: Can potentially useful dynamics to solve complex problems emerge from constrained chaos and / or chaotic itinerancy? Chaos 13, 1110–1121 (2003)
Aihara, K., Takabe, T., Toyoda, M.: Chaostic Neural Networks. Phys. Lett. A 144, 333–339 (1990)
Nakayama, S., Kuroiwa, J., Nara, S.: Partly Inverted Synaptic Connections and Complex Dynamics in a Symmetric Recurrent Neural Network Model. In: Proceedings of international joint conference on neural network ICONIP 2000, Taejon, Korea, vol. 2, pp. 1274–1279 (2000)
Kuroiwa, J., Masutani, S., Nara, S., Aihara, K.: Sensitive responses of chaotic wandering to memory pattern fragment inputs in a chaotic neural network mode. Int. J. Bifurcation & Chaos 14, 1413–1421 (2004)
Ishii. T., Kuroiwa. J., Ushijima. N., Takahashi. I., Shirai. H., Odaka. T., Ogura. T.: Sensitivity to memory fragment in chaotic wandering by partly inverted synaptic connection method. IEICE Technical Report, NLP2005-128 (2006) (in Jananese)
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Toshiyuki, H., Kuroiwa, J., Ogura, H., Odaka, T., Shirai, H., Kato, Y. (2009). Response Properties to Inputs of Memory Pattern Fragments in Three Types of Chaotic Neural Network Models. In: Alippi, C., Polycarpou, M., Panayiotou, C., Ellinas, G. (eds) Artificial Neural Networks – ICANN 2009. ICANN 2009. Lecture Notes in Computer Science, vol 5769. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04277-5_55
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DOI: https://doi.org/10.1007/978-3-642-04277-5_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04276-8
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