层状硅酸盐可激发自动机的振子
On oscillators in phyllosilicate excitable automata
摘要：
层状硅酸盐是由基底氧结合的硅酸盐四面体片。层状硅酸盐可激发自动机是有限状态机的规则网络，其模仿硅酸盐片的结构。硅酸盐片的一个节点是一个自动机，它采取休息，激发和耐火状态，并更新其状态在离散时间取决于它的三个（硅自动机）或六个（氧自动机）最接近的邻居的激发态的总和。振子是一种非静态的局域化紧凑结构，它经历有限的增长和修改，但在有限的步骤中返回到其原始状态。我们表明，层状硅酸盐可激发自动机表现出螺旋和目标波，振荡本地化动力学。对振荡器的基本类型进行了分类和表征。
英文摘要：
Phyllosilicate is a sheet of silicate tetrahedra bound by basal oxygens. A phyllosilicate excitable automaton is a regular network of finite state machines, which mimics structure of a silicate sheet. A node of the silicate sheet is an automaton, which takes resting, excited and refractory states, and updates its state in discrete time depending on a sum of excited states of its three (silicon automata) or six (oxygen automata) closest neighbours. Oscillator is a localised compact configuration of non-quiescent states which undergoes finite growth and modification but returns to its original state in a finite number of steps. We show that phyllosilicate excitable automata exhibit spiral and target waves, and oscillating localisation dynamics. Basic types of oscillators are classified and characterised.
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