Period Three Implies Chaos

Li, T., & Yorke, J. A. (1975). Period Three Implies Chaos. The American Mathematical Monthly, 82(10), 985-992.

Type

Journal article

Intellectual base

Primary research

Year

1975

DOI

10.1080/00029890.1975.11994008

Link

https://doi.org/10.1080/00029890.1975.11994008

Cited from

mathematics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

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.

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