标题： 关联记忆模式的振幅方程在空间分布系统中 显示英文标题

标题： Amplitude equations of associative memory patterns in spatially distributed systems

摘要： 关联记忆的振幅演化方程被推导出来：非局部相互作用的分布式系统中存储的异质状态。 由此得到的耦合振幅方程描述了记忆回忆的时空动力学。 它们捕捉到了模式完成和选择，并表明短程连接可以在传播模式前沿的形式下维持时空记忆模式动力学。 推导出的振幅方程与描述经典模式形成不稳定性方程形式相同，表明非平衡系统中记忆回忆和模式形成的动力学具有普遍性。 显示英文摘要

摘要： Evolution equations are derived for the amplitudes of associative memories: heterogeneous states stored in the connectivity of distributed systems with non-local interactions. The resulting coupled amplitude equations describe the spatio-temporal dynamics of memory recall. They capture pattern completion and selection, and show that short-range connections can sustain spatio-temporal memory pattern dynamics in the form of propagating patterning fronts. The derived amplitude equations are of the same form as those describing classical pattern-forming instabilities, indicating a universality of the dynamics of memory recall and pattern formation in non-equilibrium systems.