## Cellular Neural Networks, Multi-scroll Chaos and SynchronizationFor engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original ChuaOCOs circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for LurOCOe representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, H8 synchronization, time-delayed systems and impulsive synchronization." |

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### Contents

Introduction | 1 |

Cellular NeuralNonlinear Networks | 15 |

CNN arrays | 40 |

Synchronization of Chaotic Lure Systems | 105 |

Engineering Applications | 155 |

General Conclusions and Future Work | 201 |

Notation | 225 |

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### Common terms and phrases

1-D CNN ACE4k algorithms analog applications asymptotic stability autowaves behavior breakpoints cellular neural networks chaotic signals chaotic systems Chapter Chua-Yang Chua's circuit CNN model CNN-UM controller cryptographic cryptography Diehard test double scroll attractor dynamic output feedback equations equilibrium points error feedback error system fragile watermarking full static given homoclinic orbit Hopfield network hyperchaotic attractors hypercube hypercube attractors IEEE Trans implemented input L. O. Chua linear Lur'e systems Lyapunov exponent Lyapunov function master and slave master system master-slave system matrix inequality message signal modulation n-scroll nonlinear H number of scrolls obtained optimization problem parameter mismatch quadratic random number realization respectively Roska scroll grid attractors Section Shilnikov shown in Figure simulated annealing simulation slave system spatial-temporal statistical tests sufficient condition Suykens synaptic law synchronization criteria synchronization methods template Theorem time-delay tion values variable vector VLSI voltage watermark wave computing

### Popular passages

Page 212 - Experimental demonstration of secure communications via chaotic synchronization," Int. J. Bifurcation and Chaos, 2, n°3, pp.709-713, 1992 ; A.

Page 210 - Effects of chaotic noise on the performance of a neural network model for optimization problem", Phys.

Page 216 - Dynamic spatio-temporal nonlinear filtering and detection on CNN architecture: Theory, modeling, and applications.

### References to this book

Synchronization in Oscillatory Networks Grigory V. Osipov,Jürgen Kurths,Changsong Zhou No preview available - 2007 |