Abstract

Over the last few decades, neuroscience and various associated disciples have expanded enormously in terms of output, tools, methods, concepts, and large-scale projects. In spite of these developments, the principles underlying brain function and behavior are yet only partially understood. We claim that brain functioning requires the elucidation of the rules associated with all possible task realizations, rather than targeting the activity underlying a specific realization. A first step in that direction was taken by approaches focusing on dynamical structures underlying task performances, as exemplified by coordination dynamics. Its theoretical foundation owes much to Haken’s synergetics, which provides a formalism through which the degrees of freedom associated with high-dimensional systems may be effectively reduced to one or a few functional variables in the vicinity of phase transitions. The recent theoretical development of structured flows on manifolds (SFM) allows the employment to a potentially broader range of applications. Here we expand the SFM framework and propose that the emergent two-tiered fast–slow dynamics may be a basic mathematical organization underlying the architecture of brain and behavior dynamics. Finally, along a few examples, we illustrate how this framework allows for the incorporation of notions cardinal to ecological psychology.

摘要

在过去的几十年中，神经科学和各种相关的门徒在输出，工具，方法，概念和大型项目方面都取得了巨大的发展。尽管有这些发展，但脑功能和行为的基本原理仍仅被部分理解。我们认为，大脑功能需要阐明与所有可能的任务实现相关的规则，而不是针对特定实现基础的活动。朝着这个方向迈出的第一步是通过着重于任务绩效背后的动态结构的方法而采取的，例如协调动力学。它的理论基础很大程度上归功于Haken的协同作用，这提供了形式主义，通过该形式主义，可以将与高维系统相关的自由度有效地减小到相变附近的一个或几个功能变量。歧管上的结构化流（SFM）的最新理论发展允许将其应用于潜在的更广泛的应用范围。在这里，我们扩展了SFM框架，并提出了新兴的两层快慢动力学可能是大脑和行为动力学体系基础的基本数学组织。最后，通过一些示例，我们说明了该框架如何将生态心理学的基本概念纳入其中。歧管上的结构化流（SFM）的最新理论发展允许将其应用于潜在的更广泛的应用范围。在这里，我们扩展了SFM框架，并提出了新兴的两层快慢动力学可能是大脑和行为动力学体系基础的基本数学组织。最后，通过一些示例，我们说明了该框架如何将生态心理学的基本概念纳入其中。歧管上的结构化流（SFM）的最新理论发展允许将其应用于潜在的更广泛的应用范围。在这里，我们扩展了SFM框架，并提出了新兴的两层快慢动力学可能是大脑和行为动力学体系基础的基本数学组织。最后，通过一些示例，我们说明了该框架如何将生态心理学的基本概念纳入其中。