Controlling Chaos in Chaotic Bidirectional Associative Memories

The family of chaotic bidirectional associative memory (C-BAM family) can reach all stored patterns during the chaotic behavior. Therefore, in this case, C-BAM family can not converge towards a specific pattern, consequently, a desired output is not available. We introduce a control strategy to make heteroassociative chaotic networks converge towards a non-accessible memory and towards a last state of a trajectory. Computer simulations showed that the chaos of C-BAM family could be controlled through the pinning control method, in which any stored output can be recalled from its associated stimulus.

[1]  Kazuyuki Aihara,et al.  Coherent Response in a Chaotic Neural Network , 2000, Neural Processing Letters.

[2]  Santosh S. Venkatesh,et al.  The capacity of the Hopfield associative memory , 1987, IEEE Trans. Inf. Theory.

[3]  BART KOSKO,et al.  Bidirectional associative memories , 1988, IEEE Trans. Syst. Man Cybern..

[4]  Kazuyuki Aihara,et al.  Associative Dynamics in a Chaotic Neural Network , 1997, Neural Networks.

[5]  Grebogi,et al.  Using the sensitive dependence of chaos (the "butterfly effect") to direct trajectories in an experimental chaotic system. , 1992, Physical review letters.

[6]  E. Ott.  Chaos in Dynamical Systems: Contents , 2002 .

[7]  Ping Zhu,et al.  Controlling chaos in a chaotic neural network , 2003, Neural Networks.

[8]  Grebogi,et al.  Higher-dimensional targeting. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Luciana P. P. Bueno,et al.  Ability to skip steps emerging from chaotic dynamics , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[10]  Masafumi Hagiwara,et al.  Chaotic bidirectional associative memory , 1996, Proceedings of International Conference on Neural Networks (ICNN'96).

[11]  L. Olsen,et al.  Chaos in biological systems , 1985, Quarterly Reviews of Biophysics.

[12]  K. Aihara,et al.  Forced Oscillations and Routes to Chaos in the Hodgkin-Huxley Axons and Squid Giant Axons , 1987 .

[13]  Qu,et al.  Controlling spatiotemporal chaos in coupled map lattice systems. , 1994, Physical review letters.

[14]  S. Hyakin,et al.  Neural Networks: A Comprehensive Foundation , 1994 .

[15]  Wen-June Wang,et al.  Modified exponential bidirectional associative memories , 1992 .

[16]  Xue-Zhong He,et al.  Delay-independent stability in bidirectional associative memory networks , 1994, IEEE Trans. Neural Networks.

[17]  Tzi-Dar Chiueh,et al.  Exponential bidirectional associative memories , 1990 .

[18]  L. Olsen,et al.  Chaos in biological systems. , 1985 .

[19]  Mw Hirsch,et al.  Chaos In Dynamical Systems , 2016 .

[20]  Jiye Zhang,et al.  Global stability analysis of bidirectional associative memory neural networks with time delay , 2001, Int. J. Circuit Theory Appl..