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Journal articles on the topic 'Cellular neural networks'

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1

O. H. Abdelwahed, O. H. Abdelwahed, and M. El-Sayed Wahed. "Optimizing Single Layer Cellular Neural Network Simulator using Simulated Annealing Technique with Neural Networks." Indian Journal of Applied Research 3, no. 6 (October 1, 2011): 91–94. http://dx.doi.org/10.15373/2249555x/june2013/31.

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2

Tadeusiewicz, Ryszard. "Cellular neural networks (with CNNS [Cellular Neural Network Simulator] software — ver.3.6)." Neurocomputing 8, no. 2 (July 1995): 224–25. http://dx.doi.org/10.1016/0925-2312(95)90034-9.

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3

Chua, L. O., and L. Yang. "Cellular neural networks: theory." IEEE Transactions on Circuits and Systems 35, no. 10 (October 1988): 1257–72. http://dx.doi.org/10.1109/31.7600.

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4

Chua, L. O., and L. Yang. "Cellular neural networks: applications." IEEE Transactions on Circuits and Systems 35, no. 10 (October 1988): 1273–90. http://dx.doi.org/10.1109/31.7601.

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5

Toth, Geza, Craig S. Lent, P. Douglas Tougaw, Yuriy Brazhnik, Weiwen Weng, Wolfgang Porod, Ruey-Wen Liu, and Yih-Fang Huang. "Quantum cellular neural networks." Superlattices and Microstructures 20, no. 4 (December 1996): 473–78. http://dx.doi.org/10.1006/spmi.1996.0104.

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6

Slavova, Angela. "Dynamic properties of cellular neural networks." Journal of Applied Mathematics and Stochastic Analysis 6, no. 2 (January 1, 1993): 107–16. http://dx.doi.org/10.1155/s1048953393000103.

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Dynamic behavior of a new class of information-processing systems called Cellular Neural Networks is investigated. In this paper we introduce a small parameter in the state equation of a cellular neural network and we seek for periodic phenomena. New approach is used for proving stability of a cellular neural network by constructing Lyapunov's majorizing equations. This algorithm is helpful for finding a map from initial continuous state space of a cellular neural network into discrete output. A comparison between cellular neural networks and cellular automata is made.
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7

ITOH, MAKOTO, and LEON O. CHUA. "AUTOASSOCIATIVE MEMORY CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 20, no. 10 (October 2010): 3225–66. http://dx.doi.org/10.1142/s0218127410027647.

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An autoassociative memory is a device which accepts an input pattern and generates an output as the stored pattern which is most closely associated with the input. In this paper, we propose an autoassociative memory cellular neural network, which consists of one-dimensional cells with spatial derivative inputs, thresholds and memories. Computer simulations show that it exhibits good performance in face recognition: The network can retrieve the whole from a part of a face image, and can reproduce a clear version of a face image from a noisy one. For human memory, research on "visual illusions" and on "brain damaged visual perception", such as the Thatcher illusion, the hemispatial neglect syndrome, the split-brain, and the hemispheric differences in recognition of faces, has fundamental importance. We simulate them in this paper using an autoassociative memory cellular neural network. Furthermore, we generate many composite face images with spurious patterns by applying genetic algorithms to this network. We also simulate a morphing between two faces using autoassociative memory.
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8

Bhambhani, Varsha, Luis Valbuena‐Reyes, and Herbert Tanner. "Spatially distributed cellular neural networks." International Journal of Intelligent Computing and Cybernetics 4, no. 4 (November 22, 2011): 465–86. http://dx.doi.org/10.1108/17563781111186752.

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9

Pudov, Sergey. "Learning of cellular neural networks." Future Generation Computer Systems 17, no. 6 (April 2001): 689–97. http://dx.doi.org/10.1016/s0167-739x(00)00052-2.

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10

Zamparelli, Michele. "Genetically Trained Cellular Neural Networks." Neural Networks 10, no. 6 (August 1997): 1143–51. http://dx.doi.org/10.1016/s0893-6080(96)00128-1.

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11

Arena, P., S. Baglio, L. Fortuna, and G. Manganaro. "Cellular Neural Networks: A Survey." IFAC Proceedings Volumes 28, no. 10 (July 1995): 43–48. http://dx.doi.org/10.1016/s1474-6670(17)51490-1.

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12

Arena, P., L. Fortuna, S. Baglio, and G. Manganaro. "Hyperchaos from cellular neural networks." Electronics Letters 31, no. 4 (February 16, 1995): 250–51. http://dx.doi.org/10.1049/el:19950189.

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13

Harrer, Hubert, and Josef A. Nossek. "Discrete-time cellular neural networks." International Journal of Circuit Theory and Applications 20, no. 5 (September 1992): 453–67. http://dx.doi.org/10.1002/cta.4490200503.

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14

Gerousis, C., S. M. Goodnick, and W. Porod. "Toward nanoelectronic cellular neural networks." International Journal of Circuit Theory and Applications 28, no. 6 (2000): 523–35. http://dx.doi.org/10.1002/1097-007x(200011/12)28:6<523::aid-cta125>3.0.co;2-r.

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15

YANG, TAO, and LEON O. CHUA. "CELLULAR NEURAL NETWORKS CAN MIMIC SMALL-WORLD NETWORKS." International Journal of Bifurcation and Chaos 09, no. 10 (October 1999): 2105–26. http://dx.doi.org/10.1142/s0218127499001541.

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Small-world phenomenon can occur in coupled dynamical systems which are highly clustered at a local level and yet strongly coupled at the global level. We show that cellular neural networks (CNN's) can exhibit "small-world phenomenon". We generalize the "characteristic path length" from previous works on "small-world phenomenon" into a "characteristic coupling strength" for measuring the average coupling strength of the outputs of CNN's. We also provide a simplified algorithm for calculating the "characteristic coupling strength" with a reasonable amount of computing time. We define a "clustering coefficient" and show how it can be calculated by a horizontal "hole detection" CNN, followed by a vertical "hole detection" CNN. Evolutions of the game-of-life CNN with different initial conditions are used to illustrate the emergence of a "small-world phenomenon". Our results show that the well-known game-of-life CNN is not a small-world network. However, generalized CNN life games whose individuals have strong mobility and high survival rate can exhibit small-world phenomenon in a robust way. Our simulations confirm the conjecture that a population with a strong mobility is more likely to qualify as a small world. CNN games whose individuals have weak mobility can also exhibit a small-world phenomenon under a proper choice of initial conditions. However, the resulting small worlds depend strongly on the initial conditions, and are therefore not robust.
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16

Imran, Muhammad, Muhammad Kamran Siddiqui, Abdul Qudair Baig, Waqas Khalid, and Hani Shaker. "Topological properties of cellular neural networks." Journal of Intelligent & Fuzzy Systems 37, no. 3 (October 9, 2019): 3605–14. http://dx.doi.org/10.3233/jifs-181813.

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17

Venetianter, P. L., and T. Roska. "Image compression by cellular neural networks." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 45, no. 3 (March 1998): 205–15. http://dx.doi.org/10.1109/81.662694.

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18

Hanggi, M. "On locally regular cellular neural networks." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 48, no. 5 (May 2001): 513–20. http://dx.doi.org/10.1109/81.922454.

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19

Liu, D., and A. N. Michel. "Cellular neural networks for associative memories." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 40, no. 2 (1993): 119–21. http://dx.doi.org/10.1109/82.219843.

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20

Seiler, G., and J. A. Nossek. "Winner-take-all cellular neural networks." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 40, no. 3 (March 1993): 184–90. http://dx.doi.org/10.1109/82.222817.

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21

Crounse, K. R., T. Roska, and L. O. Chua. "Image halftoning with cellular neural networks." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 40, no. 4 (April 1993): 267–83. http://dx.doi.org/10.1109/82.224318.

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22

Gilli, M., M. Biey, and P. Checco. "Equilibrium Analysis of Cellular Neural Networks." IEEE Transactions on Circuits and Systems I: Regular Papers 51, no. 5 (May 2004): 903–12. http://dx.doi.org/10.1109/tcsi.2004.827624.

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23

Seiler, G., A. J. Schuler, and J. A. Nossek. "Design of robust cellular neural networks." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40, no. 5 (May 1993): 358–64. http://dx.doi.org/10.1109/81.232580.

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24

MAINZER, KLAUS. "CELLULAR NEURAL NETWORKS AND VISUAL COMPUTING." International Journal of Bifurcation and Chaos 13, no. 01 (January 2003): 1–6. http://dx.doi.org/10.1142/s0218127403006534.

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Brain-like information processing has become a challenge to modern computer science and chip technology. The CNN (Cellular Neural Network) Universal Chip is the first fully programmable industrial-sized brain-like stored-program dynamic array computer which dates back to an invention of Leon O. Chua and Lin Yang in Berkeley in 1988. Since then, many papers have been written on the mathematical foundations and technical applications of CNN chips. They are already used to model artificial, physical, chemical, as well as living biological systems. CNN is now a new computing paradigm of interdisciplinary interest. In this state of development a textbook is needed in order to recruit new generations of students and researchers from different fields of research. Thus, Chua's and Roska's textbook is a timely and historic publication. On the background of their teaching experience, they have aimed at undergraduate students from engineering, physics, chemistry, as well as biology departments. But, actually, it offers more. It is a brilliant introduction to the foundations and applications of CNN which is distinguished with conceptual and mathematical precision as well as with detailed explanations of applications in visual computing.
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25

YANG, XIAO-SONG, and QINGDU LI. "HORSESHOE CHAOS IN CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 16, no. 01 (January 2006): 157–61. http://dx.doi.org/10.1142/s0218127406014666.

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In this paper, we demonstrate chaos in low dimensional cellular neural networks for some weight matrices. To verify chaoticity of the dynamics in these cellular neural networks, we consider a cross-section properly chosen for the attractors obtained and study the dynamics of the corresponding Poincaré maps, and rigorously verify the existence of horseshoe in the manner of computer-assisted proof arguments.
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26

DEBIEC, PIOTOR, LUKASZ KORNATOWSKI, KRZYSZTOF SLOT, and HYONGSUK KIM. "TEXTURE GENERATION USING CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 16, no. 12 (December 2006): 3655–68. http://dx.doi.org/10.1142/s021812740601704x.

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The following paper introduces an application of Cellular Neural Networks for the generation of predetermined stochastic textures. The key element for the task realization is an appropriate selection of template elements, which should provide a transformation of initial, random CNN state into a stable equilibrium, featuring desired perceptual properties. A template derivation procedure comprises two steps: linear CNN design, followed by a template-refinement procedure that involves nonlinear optimization. In addition, a procedure that extends CNN texture rendition capabilities into a realm of non-pure stochastic textures is proposed.
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27

GRASSI, GIUSEPPE, PIETRO VECCHIO, EUGENIO DI SCIASCIO, and LUIGI A. GRIECO. "CELLULAR NEURAL NETWORKS FOR EDGE DETECTION." International Journal of Bifurcation and Chaos 17, no. 04 (April 2007): 1323–28. http://dx.doi.org/10.1142/s0218127407017811.

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This Letter presents an effective edge detection technique based on the cellular neural network paradigm. The approach exploits a rigorous model of the image contours and takes into account some electrical restrictions of existing hardware implementations. The method yields accurate results, better than the ones achievable by other cellular neural network-based techniques.
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28

ITOH, MAKOTO, and LEON O. CHUA. "ADVANCED IMAGE PROCESSING CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 17, no. 04 (April 2007): 1109–50. http://dx.doi.org/10.1142/s0218127407017896.

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Many useful and well-known image processing templates for cellular neural networks (CNN's) can be derived from neural field models, thereby providing a neural basis for the CNN paradigm. The potential ability of multitasking image processing is investigated by using these templates. Many visual illusions are simulated via CNN image processing. The ability of the CNN to mimic such high-level brain functions suggests possible applications of the CNN in cognitive engineering. Furthermore, two kinds of painting-like image processings, namely, texture generation and illustration style transformation are investigated.
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29

PHAM, VIET-THANH, ARTURO BUSCARINO, LUIGI FORTUNA, and MATTIA FRASCA. "AUTOWAVES IN MEMRISTIVE CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 22, no. 08 (August 2012): 1230027. http://dx.doi.org/10.1142/s0218127412300273.

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Memristor has received a significant amount of attention after a solid state implementation of it was realized in the Hewlett–Packard laboratories, because of the potential applications of such device in different areas. In this brief paper, we introduce a Cellular Neural/Nonlinear Network based on memristive cells for autowave generation. The basic cell consists of a three-component circuit (the parallel of a capacitor, an inductor and an active memristor) and displays slow–fast dynamics. Such a circuit is then connected through passive resistors to other identical cells to form a reaction–diffusion system. Simulation results show that the system is able to generate autowaves and open the way to the study of other complex phenomena like spiral waves or pattern formation in memristive circuits.
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30

HSU, CHENG-HSIUNG. "SMALE HORSESHOE OF CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 10, no. 09 (September 2000): 2119–27. http://dx.doi.org/10.1142/s0218127400001341.

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The paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is two-dimensional and the Smale horseshoe is constructed. Moreover, we also illustrate the variant of CNN, closely related to Henón-type and Belykh maps, and discrete Allen–Cahn equations.
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31

CHUA, LEON O., and LIVIU GORAŞ. "Turing patterns in cellular neural networks." International Journal of Electronics 79, no. 6 (December 1995): 719–36. http://dx.doi.org/10.1080/00207219508926307.

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32

Venetianer, Peter L., and Tamas Roska. "Image compression by cellular neural networks." Computer Standards & Interfaces 20, no. 6-7 (March 1999): 403. http://dx.doi.org/10.1016/s0920-5489(98)90011-3.

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33

Venetianer, Peter L., and Tamas Roska. "Image compression by cellular neural networks." Computer Standards & Interfaces 20, no. 6-7 (March 1999): 472. http://dx.doi.org/10.1016/s0920-5489(99)91041-3.

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34

Zhang, Qiang, Xiaopeng Wei, and Jin Xu. "Stability of delayed cellular neural networks." Chaos, Solitons & Fractals 31, no. 2 (January 2007): 514–20. http://dx.doi.org/10.1016/j.chaos.2005.10.003.

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35

Arena, P., R. Caponetto, L. Fortuna, and G. Manganaro. "Cellular neural networks to explore complexity." Soft Computing - A Fusion of Foundations, Methodologies and Applications 1, no. 3 (September 22, 1997): 120–36. http://dx.doi.org/10.1007/s005000050013.

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36

Chua, L. O., L. Yang, and K. R. Krieg. "Signal processing using cellular neural networks." Journal of VLSI signal processing systems for signal, image and video technology 3, no. 1-2 (June 1991): 25–51. http://dx.doi.org/10.1007/bf00927833.

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37

Garzon, Max. "Cellular automata and discrete neural networks." Physica D: Nonlinear Phenomena 45, no. 1-3 (September 1990): 431–40. http://dx.doi.org/10.1016/0167-2789(90)90200-9.

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38

Wang, Lipo, Wen Liu, Haixiang Shi, and Jacek M. Zurada. "Cellular Neural Networks With Transient Chaos." IEEE Transactions on Circuits and Systems II: Express Briefs 54, no. 5 (May 2007): 440–44. http://dx.doi.org/10.1109/tcsii.2007.892399.

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39

Willis, J., and J. Pineda de Gyvez. "Functional testing for cellular neural networks." Electronics Letters 29, no. 25 (1993): 2206. http://dx.doi.org/10.1049/el:19931482.

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40

HSU, CHENG-HSIUNG, SONG-SUN LIN, and WENXIAN SHEN. "TRAVELING WAVES IN CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 09, no. 07 (July 1999): 1307–19. http://dx.doi.org/10.1142/s0218127499000912.

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In this paper, we study the structure of traveling wave solutions of Cellular Neural Networks of the advanced type. We show the existence of monotone traveling wave, oscillating wave and eventually periodic wave solutions by using shooting method and comparison principle. In addition, we obtain the existence of periodic wave train solutions.
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41

Rueda, A., and J. L. Huertas. "Testability in analogue cellular neural networks." International Journal of Circuit Theory and Applications 20, no. 5 (September 1992): 583–87. http://dx.doi.org/10.1002/cta.4490200511.

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42

Hsu, Cheng-Hsiung, and Song-Sun Lin. "Spatial disorder of Cellular Neural Networks." Japan Journal of Industrial and Applied Mathematics 19, no. 1 (February 2002): 143–61. http://dx.doi.org/10.1007/bf03167451.

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43

Fortuna, L., G. Manganaro, G. Muscato, and G. Nunnari. "Parallel simulation of cellular neural networks." Computers & Electrical Engineering 22, no. 1 (January 1996): 61–84. http://dx.doi.org/10.1016/0045-7906(95)00025-9.

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44

Brucoli, Michele, Leonarda Carnimeo, and Giuseppe Grassi. "Heteroassociative memories via cellular neural networks." International Journal of Circuit Theory and Applications 26, no. 3 (May 1998): 231–41. http://dx.doi.org/10.1002/(sici)1097-007x(199805/06)26:3<231::aid-cta12>3.0.co;2-9.

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45

Sanchez, Edgar N. "Cellular neural networks and visual computing." Automatica 40, no. 6 (June 2004): 1099–101. http://dx.doi.org/10.1016/j.automatica.2004.01.008.

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46

Gilli, M. "Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 41, no. 8 (1994): 518–28. http://dx.doi.org/10.1109/81.311541.

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47

Liu, Weide, Jianliang Huang, and Qinghe Yao. "Stability Analysis of Pseudo-Almost Periodic Solution for a Class of Cellular Neural Network with D Operator and Time-Varying Delays." Mathematics 9, no. 16 (August 15, 2021): 1951. http://dx.doi.org/10.3390/math9161951.

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Cellular neural networks with D operator and time-varying delays are found to be effective in demonstrating complex dynamic behaviors. The stability analysis of the pseudo-almost periodic solution for a novel neural network of this kind is considered in this work. A generalized class neural networks model, combining cellular neural networks and the shunting inhibitory neural networks with D operator and time-varying delays is constructed. Based on the fixed-point theory and the exponential dichotomy of linear equations, the existence and uniqueness of pseudo-almost periodic solutions are investigated. Through a suitable variable transformation, the globally exponentially stable sufficient condition of the cellular neural network is examined. Compared with previous studies on the stability of periodic solutions, the global exponential stability analysis for this work avoids constructing the complex Lyapunov functional. Therefore, the stability criteria of the pseudo-almost periodic solution for cellular neural networks in this paper are more precise and less conservative. Finally, an example is presented to illustrate the feasibility and effectiveness of our obtained theoretical results.
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48

Xiao, Songlin. "Almost periodic cellular neural networks with neutral-type proportional delays." Journal of Experimental & Theoretical Artificial Intelligence 30, no. 2 (February 8, 2018): 319–30. http://dx.doi.org/10.1080/0952813x.2018.1430859.

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49

Zhou, Lixia, Xia Chen, Runsha Dong, and Shan Yang. "Hotspots Prediction Based on LSTM Neural Network for Cellular Networks." Journal of Physics: Conference Series 1624 (October 2020): 052016. http://dx.doi.org/10.1088/1742-6596/1624/5/052016.

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50

Derong Liu and A. N. Michel. "Sparsely interconnected neural networks for associative memories with applications to cellular neural networks." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 41, no. 4 (April 1994): 295–307. http://dx.doi.org/10.1109/82.285706.

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