Organodynamics	Grant Holland, Apr 25, 2014
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1. Classical Dynamical Systems Theories (DSTs) Classical DSTs define state and change-of-state (trajectory) of a particle in terms of its location and momentum. Nonlinear dynamics and chaos (NLD) generalizes this idea of particle state beyond location and momentum to include (WLOG) any real-valued vector in a manifold. The dynamics of these systems is deterministic in nature. Its articulation features equations of motion, typically ordinary and partial differential equations, which determine precisely the state of a particle at some future time, having been given initial conditions.	2. Noncompliant Systems Unfortunately, there are some very complex dynamical systems for which location and momentum, or other vector in a manifold, are of minimal interest – even when they are germane. This is mainly because these types of systems exhibit other definitions of state and dynamics that overwhelmingly dominate any interest in location and momentum, or other particle-level properties.
3. Biological and Other Highly Complex Systems For example, biologists have minimal interest in the loci and momenta of any part of the biological entities that they study – or any other vector representation of state. Rather, their interests are overwhelmingly dominated by the composition and the interrelationships within and among their parts: molecules within macromolecules within organelles within cells within tissues within organs within organisms within ecosystems; and in how those interrelationships change over time (e.g. metabolism and evolution).

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