By
A Ehresmann, Universite de Picardie Jules Verne Faculte Math. Info, France
J.P. Vanbremeersch, Centre Medical St. Roch - Tivoli, Amiens, France
Description
The theory of Memory Evolutive Systems represents a mathematical model for natural open self-organizing systems, such as biological, sociological
or neural systems. In these systems, the dynamics are modulated by the cooperative and/or competitive interactions between the global
system and a net of internal Centers of Regulation (CR) wich a differential access to a central heirarchical Memory.
The MES proposes
a mathematical model for autonomous evolutionary systems and is based on the Category Theory of mathematics. It provides a framework
to study and possibly simulate the structre of "living systems" and their dynamic behavior. MES explores what characterizes a complex
evolutionary system, what distinguishes it from inanimate physical systems, its functioning and evolution in time, from its birth to
its death.
The behavior of this type of system depends heavily on its former experiences, and a model representing the system over
a period of time, could anticipate later behavior and perhaps even predict some evolutionary alternatives.
The role of the MES model
will be two-fold: theoretical, for a comprehension of a fundamental nature and practical, for applications in biology, medicine, sociology,
ecology, economy, meteorology, and other sciences.
Included in series
Studies in Multidisciplinarity
Audience:
Researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category
Theory, biological systems theory, consciousness theory. It would be of interest to both individuals and institutional libraries.
