Organodynamics | Grant
Holland, Apr 25, 2014 |
Slide: The search for a compliant DST Ð Chaos | |
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: