Organodynamics

Grant Holland, Apr 25, 2014

Slide: The search for a compliant DST Ð Chaos

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Need to find an existing dynamical systems theory where:

-       State is defined as a property of the system, rather than its components (e.g. particles)

-       State is defined as system organization

-       State change, or trajectory, is subject to chance variation

-       State change is nondeterministic, stochastic

 

What about nonlinear dynamics (chaos theory)?

 

Nonlinear dynamics and chaos

 

Chaos:

 

Aperiodic long-term behavior in a deterministic system that exhibits sensitive dependence on initial conditions

 

Steven Strogatz 1994

Cornell

Santa Fe Institute

 

Nonlinear dynamics checklist

-       State: property of system? NO.

-       State: system organization? NO.

-       Dynamics: Equations of motion. Typically, O/P differential equations

-       Dynamic constraints: nonlinear, sensitive dependence on initial conditions

-       Dynamics: stochastic? NO.

 

Compliance: Nonlinear dynamics does not comply with the requirements of organodynamics.

 Nonlinear dynamics

 

-       Discuss the deterministic nature of Òsensitivity to initial conditionsÓ.

 

Notes: