Chaotic maps are mathematical functions or systems that exhibit chaos, which is a complex and unpredictable behavior that arises in certain dynamical systems. These maps are often studied in the context of chaos theory, where small changes in initial conditions can lead to significantly different outcomes, a phenomenon popularly known as the "butterfly effect." Key characteristics of chaotic maps include: 1. **Nonlinearity**: Most chaotic systems are nonlinear, meaning that their relationships cannot be described with simple linear equations.
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