Organodynamics | Grant Holland, Apr 25, 2014 |
Slide: Preview: The New Theory | |
6. Organodynamics In
this talkÉ I shall present a new complex adaptive dynamical systems theory that defines state as system
organization and that defines trajectory as change in
system organization. I have named this theory organodynamics. As
this presentation progresses, I shall add
more requirements for a system to
qualify as an organodynamic system beyond these two qualifications. | |
7. System State How does organodynamics define Òsystem
organizationÓ as system state? First, I note that ÒorganizingÓ a system implies two
distinct meanings, both of which are useful: 1.
Allocating
the systemÕs components to various compartments, and 2.
Describing
the interrelationships among the components. Organodynamics
represents compartmentalization via a topology on the set of components. And, it represents interrelationships among components as the mathematical expression of a network. To define system state, organodynamics combines the network of interrelationships with the topology to result in an extended topology. | The
deterministic time evolution of the system is then represented by a sequence
of these extended
topologies. I call this sequence an organodynamic
deterministic process (ODP). |
Notes: