Organodynamics

Grant Holland, Apr 25, 2014

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 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: