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Chaos, from a static view, is “pieces waiting to come together,” an inchoate pattern about to happen.
Chaos, from a dynamic view, is a process. It has a consistency to it. From a scientific standpoint chaos has a pattern, a kind of rhythm, ebbs and flows. Real “scientific” chaos isn’t just a mish-mash, a dissolution of a pattern, but also a new pattern coming together.
Chaos Theory (ChT) is a mathematical approach to modeling patterns of non-linear, non-independent behaviors of dynamical systems. It is not, per se, a philosophical system or paradigm.
ChT is about the fracturing of patterns, but it is also about how that collection of pieces sorts itself out. That coming back together again is what makes Chaos so interesting—and why it and ChT is so import to you.
Recursivity is self-reflexiveness, and self-relectiveness, feeding information from one’s patterns back into the process of producing them. In mathematical language it is non-linearity and non-independence.
Because of recursivity, change depends on the tuning constant, k , which determines the sensitivity of the system.
Equilibrium is the tendency or inertia of system not to change its patterns by staying near or returning to points of attraction (homeostasis).
Patterns change significantly and most unpredictably in far-from-equilibrium (chaotic) systems, those whose sensitivity (tuning constant) has exceeded a threshold of stability, thus producing disequilibrium.