Chaos (source code)
= Chaos
= Chaotic
{synonym}
= Chaotic dynamics
{synonym}
<Chaos> describes sustained irregular dynamics with sensitive dependence in a deterministic system. The precise convention matters. <Devaney chaos> requires <topological transitivity>, dense <periodic orbits> and sensitive dependence on an <invariant set>. A common operational flow description asks for bounded nonperiodic long-term motion with sensitive dependence. These formulations are useful in different settings and are not universally equivalent. A positive largest <Lyapunov exponent> is a numerical diagnostic of exponential separation, not by itself a proof of every topological definition.
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