###### neurons

- It is reported that chaotic behavior also exists in biological neurons and neural networks [ 2 , 3 ]. (hindawi.com)
- This paper is devoted to the analysis of a discrete-time-delayed Hopfield-type neural network of p neurons with ring architecture. (biomedsearch.com)
- In this contribution, we investigate the dynamics of a novel model of 4-neurons based Hopfield neural networks. (springer.com)
- In ANN theory, in most simple case (when threshold functions is equal to one) the Hopfield model is described as a one-dimensional system of N neurons - spins ( s i = ± 1, i = 1,2,…, N ) that can be oriented along or against the local field. (codeproject.com)
- In the main window press "Create Neural Network (100 Neurons)" button. (codeproject.com)

###### recurrent neural n

- Güçlü U, van Gerven AJ (2017) Modeling the dynamics of human brain activity with recurrent neural networks. (springer.com)
- Cao, J., Wang, J.: Global Exponential Stability and Periodicity of Recurrent Neural Networks with Time Delays. (springer.com)
- Cao, J., Wang, J.: Global Asymptotic Stability of a General Class of Recurrent Neural Networks with Time-varying Delays. (springer.com)

###### 2017

- Panahi S, Aram Z, Jafari S, Ma M, Sprott JC (2017) Modeling of epilepsy based on chaotic artificial neural network. (springer.com)
- Danca MF, Kuznets L (2017) Hidden chaotic sets in a Hopfield neural system. (springer.com)
- Bao B, Qian H, Xu Q, Chen M, Wang J, Yu Y (2017) Coexisting behaviors of asymmetric attractors in hyperbolic-type memristor based Hopfield neural network. (springer.com)
- Bao B, Qian H, Wang J, Xu Q, Chen M, Wu H, Yu Y (2017) Numerical analyses and experimental validations of coexisting multiple attractors in Hopfield neural network. (springer.com)
- article{hillar2017neural, title={Neural network coding of natural images with applications to pure mathematics}, author={Hillar, Christopher J and Marzen, Sarah E}, journal={Algebraic and Geometric Methods in Discrete Mathematics}, volume={685}, pages={189}, year={2017}, publisher={American Mathematical Soc. (berkeley.edu)

###### cellular neural networks

- Jiang, H., Teng, Z.: Global Exponential Stability of Cellular Neural Networks with Time-varying Coefficients and Delays. (springer.com)

###### Stability

- Wilson GV, Pawley GS (1988) On the stability of the Travelling Salesman Problem algorithm of Hopfield and Tank. (springer.com)
- W.-H. Chen, X. Lu and D.-Y. Liang, Global exponential stability for discrete-time neural networks with variable delays,, Physics Letters A , 358 (2006), 186. (aimsciences.org)
- In this paper, the problem of global robust stability (GRAS) is investigated for a class of interval neural networks described by nonlinear delayed differential equations of the neutral type. (springer.com)
- Cao, J., Ho, D.W.C.: A General Framework for Global Asymptotic Stability Analysis of Delayed Neural Networks Based on LMI Approach. (springer.com)
- Liao, X.F., Wang, J.: Global and Robust Stability of Interval Hopfield Neural Networks with Time-varying Delays. (springer.com)
- Cao, J., Chen, T.: Globally Exponentially Robust Stability and Periodicity of Delayed Neural Networks. (springer.com)
- Cao, J., Li, X.: Stability in Delayed Cohen-Grossberg Neural Networks: LMI Optimization Approach. (springer.com)

###### interval neural networks

- Universal approximation theorem for interval neural networks. (springer.com)

###### Computation

- Computation issue of pointwise controls for diffusion Hopfield neural network system. (rwth-aachen.de)
- Hopfield JJ, Tank DW (1985) 'Neural' computation of decisions in optimization problems. (springer.com)

###### discrete-time

- The presented model is a discrete-time, continuous-state Hopfield neural network and the states of the model are updated synchronously. (hindawi.com)
- Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture. (biomedsearch.com)

###### optimization problems

- Since Hopfield and Tank [ 6 ] applied their neural network to the travelling salesman problem, neural networks have provided a powerful approach to a wide variety of optimization problems [ 7 , 8 ]. (hindawi.com)
- Joya G., Atencia M.A., Sandoval F. (1997) Hopfield neural network applied to optimization problems: Some theoretical and simulation results. (springer.com)
- Mańdziuk J (1993) Application of neural networks to solving some optimization problems. (springer.com)
- Deciding whether a mobile network allows a feasible assignment is NP-complete, and the corresponding optimization problems are strongly NP-hard (Martin, 2000). (igi-global.com)

###### 1990

- Kamgar-Parsi B, Kamgar-Parsi B (1990) On problem solving with Hopfield neural networks. (springer.com)

###### local minima

- However the Hopfield neural network (HNN) often gets trapped in a local minima. (hindawi.com)
- A number of modifications were made to Hopfield neural networks to escape from local minima. (hindawi.com)

###### chaotic

- Zheng P, Tang W, Zang J (2010) Some novel double-scroll chaotic attractors in Hopfield networks. (springer.com)

###### Haykin

- If you want to know more about these things, I advise you to start with Simon Haykin "Neural networks" book . (codeproject.com)

###### Wang

- In: Wang J, Liao X, Yi Z (eds) Advances in neural networks-ISNN 2005. (springer.com)
- Brandt RD, Wang Y, Laub AJ, Mitra SK (1988) Alternative networks for solving the Traveling Salesman Problem and the List-Matching Problem. (springer.com)

###### 1989

- Yao KC, Chavel P, Meyrueis P (1989) Perspective of a neural optical solution to the Traveling Salesman optimization Problem. (springer.com)

###### Tank

- Bizzarri AR (1991) Convergence properties of a modified Hopfield-Tank model. (springer.com)

###### convergence

- In [ 12 - 14 ] the guaranteed convergence of Hopfield neural networks is discussed. (hindawi.com)

###### Proceedings

- In M. Verleysen (Ed.), Proceedings of the European Symposium on Artificial Neural Networks (pp. 49-54). (springer.com)

###### pattern recognition

- The ability of application of Hopfield neural network to pattern recognition problem is shown. (codeproject.com)

###### 1992

- Mańdziuk J, Macukow B (1992) A neural network designed to solve the N-Queens Problem. (springer.com)

###### analysis

- Fan Zhang and Hongbin Zhang, "Image watermarking capacity analysis based on Hopfield neural network," Chin. (osapublishing.org)
- Based on the computer simulation results and the theoretical analysis, the proper network parameters are established. (springer.com)
- Principal component analysis of fuzzy data using autoassociative neural networks. (springer.com)

###### 2018

- Njitacke ZT, Kengne J, Fotsin HB (2018) A plethora of behaviors in a memristor based Hopfield neural networks (HNNs). (springer.com)

###### chaos

- Yang XS, Yuan Q (2005) Chaos and transient chaos in simple Hopfield neural networks. (springer.com)

###### numerical

- Fuzzy perceptron neural networks for classifiers with numerical data and linguistic rules as inputs. (springer.com)

###### Interpretation

- Interpretation of artificial neural networks by means of fuzzy rules. (springer.com)

###### Application

- The application of a discrete Hopfield-type neural network to solving the NP-Hard optimization problem - the N-Queens Problem (NQP) - is presented. (springer.com)

###### Optimal

- Cierniak, R., Rutkowski, L.: On image compression by competitive neural networks and optimal linear predictors. (springer.com)

###### assignment

- Thus, given the continuing rapid growth in demand for wireless services, frequency assignment problems (FAPs) play a key role in the planning of such networks (Galinier, Gendreau, Soriano, & Bisaillon, 2005), which are concerned with the assignment of discrete channels to the transmitters of a radio network. (igi-global.com)

###### Models

- Two classes of parallel computing models are discussed - shared memory models and graph/network models. (spie.org)

###### Focus

- Her research interests mainly focus on neural network, logic programming data mining and agent based modelling. (usm.my)

###### Image

- Then press "Add pattern to Neural Network" button and select any 10x10 image (you can find some in ABC folder). (codeproject.com)

###### Data

- Forecasting Performance of Cascade Forward Back Propagation Neural Network for Data with Outliers. (usm.my)