Complexity Explorer Santa Fe Institute


Isomorphism refers to the similarity between two systems or two processes such that the defined patterns of relations/operations among each system's elements are perfectly analogous and map neatly one-to-one between the systems, at some level of coarse graining. For example, two dynamical systems may be considered isomorphic if they can be represented with the same set of differential equations. Recognizing isomorphisms between analogous phenomena (such as bird flocking and fish schooling) allows prediction of the dynamics of both systems with the same general model.

Systems Theory, Coarse-Graining, Mathematics