Period Three Implies Chaos¶
Li, T., & Yorke, J. A. (1975). Period Three Implies Chaos. The American Mathematical Monthly, 82(10), 985-992.
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Primes¶
- Chaos
- and symbolic dynamics, ergodic theory (Pesin's formula relating Lyapunov exponents to Kolmogorov-Sinai entropy), and the formal characterization "period three implies chaos"
This sourceIntroduced the term "chaos" into the mathematical literature; established that a period-3 orbit in a continuous interval map implies orbits of all periods and uncountably many aperiodic orbits.
- and symbolic dynamics, ergodic theory (Pesin's formula relating Lyapunov exponents to Kolmogorov-Sinai entropy), and the formal characterization "period three implies chaos"
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