A theory for the formation of episodic memory in terms of Cantor coding

众所周知，海马体会形成一系列事件，也就是情景记忆。我们从复杂系统的角度研究情景记忆的形成问题。本研究的目的是利用高维动力系统理论来了解情景记忆的形成机制。在这两年的项目中，我们提出了一个史诗记忆形成的动态模型。人类经验可以解释为意识离散了连续的外部现象。我们建立了一个假设，伽马波执行这个离散过程。海马体-皮质系统与θ波节律同步，其复发时间约为200毫秒。将θ波离散为γ波可以看作是海马的一系列输入事件。我们发现，基于GA3的网络结构，混沌流动代表了记忆的过渡。CA3中锥体细胞的Schaeffer侧边向ca1发送输入信号，形成一个稳定的动力系统，因此CA3- ca1系统被描述为一个由混沌流动驱动的收缩动力学。根据压缩映射的标准理论，期望在GA1区域内组织康托集。我们用计算机模拟证明了这种吸引子的存在。CA3中的混沌流动代表一系列事件，即插曲，而CA1中的康托吸引子层次代表一个混沌流动的历史。因此事实证明康托集合暗示了情节的范畴。

It is known that hippocampus works to form series of events that is, episodic memory. We investigate the problem of formation of episodic memory from complex systems point of view. Our purpose is to understand the mechanism of formation of episodic memory leased on high-dimensional dynamical systems theory.In these two years of the project, we proposed a dynamic model of formation of epicodic memory. Human experience can be explained as a result that consciousness discretises continuous external phenomenon. We set up a hypothesis that gamma wave executes this discretization process. The hippocampus-cortical system synchronizes with theta rhythms with recurrence time in about 200 milliseconds. The discretization of theta wave by gamma wave can be regarded as input series of events to hippocampus. We show that chaotic itinerancy represents the transition of memory, based on the network structures of GA3. Schaeffer collaterals of the pyramidal cells in CA3 send input signal toCA1, which gives rise to a stable dynamical systems, Thus CA3-CA1 system is described as a contracting dynamics driven by chaotic itinerancy.It is expected that Cantor sets are organized in GA1 region according to a standard theory of contracting maps. We show the existence of such attractors with computer simulations. The chaotic itinerancy in CA3 represents a series of events, namely episode, while the hierarchy of Cantor attractor in CA1 represents a history of chaotic itinerancy. Thus it turns out that Cantor sets implies categories of episode.