Wednesday, April 18, 2012

Self-organizing behavior...

"many components tend to reach a particular state"
Copyright 2012 © Ronald D. Isom, Sr.
I485/I585: Self-Organization and Emergent Complex Behavior: "by luis m. rocha Lecture notes for I485/I585/I601 - : Biologically Inspired Computing. School of Informatics, Indiana University. Also available in adobe acrobat pdf format Self-organization is usually understood as the process by which systems of many components tend to reach a particular state, a set of cycling states, or a small volume of their state space (attractor basins), with no external interference. This attractor behavior is often recognized at a different level of observation as the spontaneous formation of well-organized structures, patterns, or behaviors, from random initial conditions (emergent behavior). The systems used to study this behavior are referred to as dynamical systems or state-determined systems, since every trajectory is perfectly determined by its initial state. Dynamical systems are traditionally studied by continuous variables and sets of discrete-time difference equations (such as the logistic map) or continuous-time differential equations (such as models of the motion of bodies under gravitational forces). However, self-organization is more easily studied computationally with discrete dynamical systems (DDS) such as Boolean networks or cellular automata"

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