Perturbing the Bernoulli shift map in binary systems – November 3, 2022 at 01:34PM

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Is it possible for a deterministic system to be unpredictable? Although counter-intuitive, the answer is yes. Such systems are called “chaotic systems,” which are characterized by sensitive dependence on initial conditions and long-term unpredictability. The behavior of such systems is often described using what is known as a “chaotic map.” Chaotic maps finds applications in areas such as algorithm design, data analysis, and numerical simulations.

John Jason Fallows

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