__A New Dynamical Systems Theory__ ** ** **It is reasonable to contrive a ****new dynamical systems theory**** whose idea of **__state__ is *system organization***, and **__trajectory__ is **change of**** ***system organization***.** ** ** **And such a theory has important ****applications****.** ** ** **It is possible to ****account for chance variation**** in the ****dynamics**** of this theory ****without**** its time evolution ****becoming wildly unstable****. This can be done through the introduction of ****stochastic processes**** and ****information theory****.** ** ** **Some highly complex applications ****require an accounting**** for chance variation.** ** ** ** ** | ** ** ** ** **This theory intends to be ****complementary**** to existing theories.** |

**We shall see that the nature of the complex applications I am trying to model have pulled me somewhat outside of mainstream treatments of established mathematical forms.** ** ** **For example, only very large, but finite, systems of elements (e.g. > 10**^{9}) are targeted by this theory, e.g. the biomolecular. | ** ** __Chance, solamenteÉ__ __ __ **I want to show in this theory that the dynamics of certain highly complex adaptive systems can be sufficiently articulated using probability
theory and its sub-disciplines Ð alone.** ** ** **Such
exemplar systems include the evolution
of life Ð which is the principle inspiring application of this theory.** |