Topological entropy
= Topological entropy
{wiki=Topological_entropy}
Topological entropy is a concept in dynamical systems that provides a measure of the complexity of a system. It quantifies the rate at which information about the state of a dynamical system is lost over time, reflecting the system's unpredictability or chaotic behavior. More formally, topological entropy is defined for a continuous map \\( f: X \\to X \\) on a compact metric space \\( X \\).