| Organodynamics | Grant
Holland, Apr 25, 2014 |
| Slide: How is Organodynamics different? | |
| What
makes organodynamics different from other dynamical systems theories? 1.
Organodynamics is primarily interested in how a system is organized, and how its organization changes over time. -
State in organodynamics is Òhow the system is organizedÓ;
that is, system organization -
Trajectory in organodynamics is Òhow the system changes its organizationÓ; that is, system reorganization -
Thus,
state in organodynamics is a property of the system (as-a-whole) | Some
essential ideas about system state in dynamical systems: -
System: a set of components and their organization -
Notion
of state -
Notion
of change-of-state (trajectory or process) -
Notion
of dynamics Ð A description of an operational
mechanisms by which change
of state occurs within a process In
classical dynamical systems: á
State is defined as position and velocity á
Trajectory is defined by tracking the change
of position and velocity |
| 2.
Change of system organization over time in organodynamic is subject to chance variation -
The
same mechanism of change, with the same initial conditions, can result in differing outcomes for different time steps of the process -
The
same system organization at one time step can lead to differing system organizations at the next time step. | |
Notes: