确定性动力学与混沌：认识论与跨学科方法论
Deterministic Dynamics and Chaos: Epistemology and Interdisciplinary Methodology
摘要：
我们从理论的角度分析了数学和心理学之间的双向跨学科关系，重点是确定性动力系统的数学理论，特别是混沌理论。一方面，有直接的经典关系：数学在心理学中的应用。另一方面，我们提出了逆向关系，它存在于心理学研究下的过程和结构中出现的新的抽象数学问题的表述中。从纯数学到纯数学的双向多学科关系在很大程度上与“硬”科学，特别是物理学和天文学保持一致。但它是相当新的，从社会和人文科学，对纯数学。
英文摘要：
We analyze, from a theoretical viewpoint, the bidirectional interdisciplinary relation between mathematics and psychology, focused on the mathematical theory of deterministic dynamical systems, and in particular, on the theory of chaos. On one hand, there is the direct classic relation: the application of mathematics to psychology. On the other hand, we propose the converse relation which consists in the formulation of new abstract mathematical problems appearing from processes and structures under research of psychology. The bidirectional multidisciplinary relation from-to pure mathematics, largely holds with the "hard" sciences, typically physics and astronomy. But it is rather new, from the social and human sciences, towards pure mathematics.
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