Editing Chaos Theory (section)

== <span style="color: #FFFFFF;">Remembering</span> ==
* '''Chaos Theory''' — The study of systems that are highly sensitive to initial conditions.
* '''The Butterfly Effect''' — The phenomenon where a small change in one state of a deterministic nonlinear system can result in large differences in a later state.
* '''Determinism''' — The idea that the future is determined by the past; in a chaotic system, the future is determined but still '''Unpredictable'''.
* '''Fractal''' — A mathematical set that exhibits a "Self-Similar" pattern that repeats at every scale (e.g., a snowflake or a coastline).
* '''Strange Attractor''' — A set of values toward which a chaotic system tends to evolve, often forming beautiful, complex geometric shapes.
* '''Lorenz Attractor''' — The famous "Butterfly-shaped" graph that first proved the existence of chaos in weather models.
* '''Bifurcation''' — When a system's behavior "splits" from one steady state into two, then four, then chaos.
* '''Non-linearity''' — When the output is not proportional to the input.
* '''Phase Space''' — A multi-dimensional "Map" of all possible states of a system.
* '''Sensitive Dependence''' — The core rule of chaos; even a tiny error in measurement makes long-term prediction impossible.
* '''Turbulence''' — The chaotic motion of fluids (like air or water) that is one of the hardest problems in physics.
* '''Iteration''' — The repetition of a process; in chaos, small errors grow larger every time the process "loops."
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