Organodynamics | Grant
Holland, Apr 25, 2014 |
Slide: Constraints on Uncertainty Range | |
Implementing
the other four OCS organizing principles: Dualistic aspect of the behavioral constraints on dynamical complex adaptive systems: á CanÕt be too chaotic (uncertain): The change-of-organization of an ODSP over time can be constrained so that it cannot be wildly chaotic indefinitely. á CanÕt be too predictable (certain): An ODSP can change its organization enough to be able to adapt. Limited
Stationary Processes An organic complex system entity canÕt sustain too much unstability or too much stability, but will exhibit some intermediate
level of stability over some finite time span. | Autocoorganization Can be understood as the ability of organodynamics to ÒregulateÒ the behavior of an ODSP so that it eventually stays within the above two bounds, and occasionally develops limited stationary distributions. How
to measure degree of ÒchaosÓ: Chaos (def): ÒWhere chance reigns supreme.Ó As differentiated from the definition of chaos in nonlinear dynamics (NLD) Ð which disallows chance, because NLD is strictly deterministic. In organodynamics, the measure of the degree of ÒchaosÓ is the measure of the degree of uncertainty: statistical entropy and the entropic functionals. |
Thus,
information
theory and its entropic
functionals can characterize the degree
of uncertain (chaotic) behavior of an ODSP that represents a complex dynamical system. The
dynamics of these systems must involve some constraints
on the behavior or these systems. | Our
Strategy We
must show that there are conditions
under which the stochastic
dynamics of ODSPs are
constrained so that they tend toward some range that lies between too much and too
little uncertainty Ð as measured by entropic
functionals. |
Notes: