Regularity in Nonlinear Dynamical Systems

Problematizing Fit and Survival: Transforming the Law of Requisite Variety Through Complexity Misalignment

“…We see it as the articulation of a conceptually appealing relation between properties of two systems (organizations' internal/external variety/complexity). However, law-like generalizations are associated with the regularities that observed systems possess, since these mediate the relation between a law and predictability (Holt & Holt, 1993), the latter being a cornerstone of scientific rationality. Hence, given the lack of empirical observations, the term "law" is inherently problematic.…”

Complexity as an empirical tendency: Promoting non-measurement as a means to enhanced understanding

“…For example, let's focus on regularities in an observed phenomenon. Those regularities are core theoretical pursuits since they mediate a generalization and its predictability (Holt and Holt, 1993). In complex systems, regularities often take the form of recursive symmetry i.e., repetition of the same structure at several scales (Tsoukas and Hatch, 2001).…”

Stability in Cosmology, from Einstein to Inflation

“…As mentioned previously, that this is so has become especially clear in the past century thanks to the phenomenon of chaos in nonlinear dynamical systems, the applicability of which to real systems demonstrates that they are not necessarily structurally stable. Chaotic systems, characterized by a sensitive dependence on initial conditions and a mixing dynamics, entail a failure of deterministic predictability in chaotic models representing them (Batterman, 1993;Holt and Holt, 1993;Leiber, 1997;Werndl, 2009). This is yet another example of a violation of the stability framework.…”