What does Chaos mean?

I found this article on Chaos today that made me think a bit; Click to read article. The article says; "Even tiny, easily overlooked events can completely change the behavior of a complex system, to the point where there is no apparent order to most natural systems we deal with in everyday life. This may be a little confusing because most people associate order with macro-events (events that are obvious, and noticeable to our senses), as opposed to micro-events that are outside the realm of what we sense and are aware of as Human Beings. Basically, Chaos at the top level is highly organized. The "top level" being our reality (physical-universe) as one system, and everything underneath that organized system, being a highly chaotic system of sub-sets. For example, the Mandelbrot-set is one organized mathematical equation (rule-set) at the top-level, but everything underneath that one mathematical equation as a sub-set, is highly disorganized and chaotic:

The Mandelbrot set is a set of points in the complex plane, the boundary of which forms a fractal.





-The top-level rule-set being the organized math (M-set).
-The sub-level rule-set being chaos (J-set).

You can see the macro-pattern (M-set) show up many times on the zoom-in on the J-set, but the M-set never repeats itself. Theoretically, this fractal will go on for infinity.

If we model our Universe as one giant fractal, then our top-level (M-set, our physics) is HIGHLY organized and fundamentally simple. But every event underneath those rules, are chaotic due to even the smallest and most un-noticable event. Whatever that event may be. Even at the quantum level, events will effect things on a scale that can be sensed and observed, even though the quantum-events (Entanglement for example) lay outside the realm of our human perception. This is called The Butterfly Effect; The butterfly effect is a phrase that encapsulates the more technical notion of sensitive dependence on initial conditions in chaos theory. Small variations of the initial condition of a dynamical system may produce large variations in the long term behavior of the system. This is sometimes presented as esoteric behavior, but can be exhibited by very simple systems: for example, a ball placed at the crest of a hill might roll into any of several valleys depending on slight differences in initial position. Quantum chaos is the study of the butterfly effect in semi-classical physics and quantum mechanics.

In the complex reality system that we live in, nothing is a guarantee and nothing is the same at the most fundamental level. Chaotic change drives us forward, even though we are un-aware of its implications. We tend to forget our real place in the hierarchical structure that regulates a perceived order in government, culture, and our every day lives as individuals. We are just not aware that what we do as individuals, fundamentally affects everything else, even though that effect is chaotic. We do not have control over the outcome, we just have an individual perception of the outcome. This picture sums up what I am trying to say.