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Research Articles

Continuous attractors of fuzzy coupled recurrent neural networks

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Pages 909-926 | Received 20 Jun 2022, Accepted 01 Jan 2023, Published online: 18 Jan 2023

References

  • J. Yu, Z. Yi, and L. Zhang, Representations of continuous attractors of recurrent neural networks, IEEE Trans. Neural. Netw. 20 (2009), pp. 368–372.
  • Y. Zhang and Y. Shen, A new route to strange nonchaotic attractors in an interval map, Int. J. Bifurcat. Chaos 30(4) (2020), pp. 2050063.
  • Y. Shen and Y. Zhang, Mechanisms of strange nonchaotic attractors in a nonsmooth system with border-collision bifurcations, Nonlinear. Dyn. 96(2) (2019), pp. 1405–1428.
  • Z. Guo, S. Gong, S. Wen, and T. Huang, Event-based synchronization control for memristive neural networks with time-varying delay, IEEE. Trans. Cybern. 49(9) (2019), pp. 3268–3277.
  • J.J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Natl. Acad. Sci. USA 81(10) (1984), pp. 3088–3092.
  • D. Li, J. Leng, T. Huang, and G. Sun, On sum and stability of g-frames in Hilbert spaces, Linear Multilinear Algebra 66(8) (2018), pp. 1578–1592.
  • C. Wang, Y. Wu, and J. Yu, Barrier Lyapunov functions-based dynamic surface control for pure-feedback systems with full state constraints, IET Control. Theory Appl. 11(4) (2017), pp. 524–530.
  • S.M. Stringer, T.P. Trappenberg, E.T. Rolls, and I.E.T. de Araujo, Self-organizing continuous attractor networks and path integration: one-dimensional models of head direction cells, Netw. Comput. Neural Syst. 13 (2002), pp. 217–242.
  • K.C. Zhang, Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory, J. Neurosci. 16 (1996), pp. 2112–2126.
  • S. Wu, K.Y.M. Wong, C.C.A. Fung, Y. Mi, and W. Zhang, Continuous attractor neural networks: Candidate of a canonical model for neural information representation, F1000research 5 (2016), pp. 209–226.
  • G.B. Zaffari, M.M.D. Santos, P.L.J. Drews, and S.S. Botelho, Effects of water currents in a continuous attractor neural network for SLAM applications, 2016 XIII Latin American Robotics Symposium and IV Brazilian Robotics Symposium (LARS/SBR), IEEE, Recife, Brazil, 2016, pp. 328–333.
  • L.O. Chua and L. Yang, Cellular neural networks: theory, IEEE Trans. Circuits Syst. I 35 (1988), pp. 1257–1272.
  • L.O. Chua and L. Yang, Cellular neural networks: application, IEEE Trans. Circuits Syst. I 35 (1988), pp. 1273–1290.
  • G. Grassi, On discrete-time cellular neural networks for associative memories, IEEE Trans. Circuits Syst. I 48(1) (2001), pp. 107–111.
  • R. Fantacci, M. Forti, M. Marini, and L. Pancani, Cellular neural networks approach to a class of communication problems, IEEE Trans. Circuits Syst. I 46(12) (1999), pp. 1457–1467.
  • H. Yang and L.B. Yang, Application of fuzzy cellular neural networks to Euclidean distance transformation, IEEE Trans. Circuits Syst. I 44(3) (1997), pp. 242–246.
  • J. Yu, H. Mao, and Z. Yi, Parameter as a switch between dynamical states of a network in population decoding, IEEE. Trans. Neural. Netw. Learn. Syst. 28 (2017), pp. 1–6.
  • J. Gou, L. Wang, Z. Yi, Y. Yuan, W. Ou, and Q. Mao, Weighted discriminative collaborative competitive representation for robust image classification, Neural. Netw. 125 (2020), pp. 104–120.
  • J. Yu, Z. Yi, and J. Leng, Line attractors of coupled ring neural networks with block circulant weight matrix, Int. J. Comput. Math. 97(3) (2020), pp. 687–699.
  • T. Takagi and M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE. Trans. Syst. Man. Cybern. 15 (1985), pp. 116–132.
  • D. Wang, H. He, and D. Liu, Adaptive critic nonlinear robust control: A survey, IEEE. Trans. Cybern. 47(10) (2017), pp. 3429–3451.
  • X. Zeng, L. Shu, and J. Jiang, Fuzzy time series forecasting based on grey model and Markov chain, Int. J. Appl. Math. 46(4) (2016), pp. 464–472.
  • J. Yu and Z. Yi, Stability analysis and fuzzy control for uncertain delayed T-S nonlinear systems, Int. J. Fuzzy Syst. 18 (2016), pp. 1031–1038.
  • W. Chen, J. Yu, Z. Yi, and H. Qu, The effect of coefficients on the continuous attractors in coupled highway neural networks, Neurocomputing 419 (2021), pp. 1–8.

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