## Collective phenomena of coupled lattice maps: reaction-diffusion systems and neural networks |

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### Contents

n Driven Reactiondiffusion Systems | 13 |

Robust Spacetime Intermittency and 1f noise | 35 |

Neural Networks | 71 |

Copyright | |

6 other sections not shown

### Common terms and phrases

Appendix attractor basins of attraction bifurcation bistable maps brain cerebellum chaotic CLMs collective phenomena complicated connections constant coupled lattice maps coupled logistic maps coupled maps coupled-maps Crutchfield described diffusion dimensional discrete discrete-time maps discussed display domain walls driving term eigenvalue example Figure fixed point frequency given Hamming distance Hebbian learning Hence Hopfield model initial conditions input address input pattern interactions investigated iteration Kanerva kinks laminar bursts laminar phases large number lattice lattice configuration layer logistic map matrix elements memory pattern motion natural wavelength nearly stable cycles neural networks neurons noise number of kinks number of selected output period doubling Phys physical properties Purkinje cells radius random reaction term reaction-diffusion equation reaction-diffusion systems result selected locations shown in Fig signal slice solution space space-time intermittency Sparsely Distributed Memory spatially extended storage locations store sequences stored patterns threshold tion unlearning rule unlearning trials updated waves yields