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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Evolving three-dimensional cellular automata to perform a quasiperiod-3 collective behavior task
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Evolving three-dimensional cellular automata to perform a quasiperiod-3 collective behavior task

机译:不断发展的三维元胞自动机以执行准拟3集体行为任务

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摘要

We present results from experiments in which a genetic algorithm (GA) is used to develop three-dimensional cellular automata (CA) to perform a nontrivial collective behavior task. Under a fitness function that is defined as an averaged area in the iterative map, the GA detects a CA rule with quasiperiod-3 (QP3) collective behavior and another with period-3. For rules with QP3 the time autocorrelation function decays as a power law with an exponent of -1/2, according to the predictions of the Kardar-Parisi-Zhang equation, and a space-time diagram reveals the existence of propagating structures inside the system. [S1063-651X(99)14910-9]. [References: 12]
机译:我们目前的实验结果中,遗传算法(GA)用于开发三维元胞自动机(CA)以执行非平凡的集体行为任务。在定义为迭代图中平均区域的适应度函数下,GA会检测到具有准拟态3(QP3)集体行为的CA规则和另一个具有周期3的CA规则。对于具有QP3的规则,根据Kardar-Parisi-Zhang方程的预测,时间自相关函数作为幂律以-1/2的幂衰减,并且时空图揭示了系统内部传播结构的存在。 [S1063-651X(99)14910-9]。 [参考:12]

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