Construct · 1 fields · 1 citations

period three implies chaos: a standalone construct

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Dynamical systems

the result that a continuous map of an interval with a cycle of period three has cycles of every period and uncountably many irregular orbits.

In dynamical systems, period three implies chaos refers to the result that a continuous map of an interval with a cycle of period three has cycles of every period and uncountably many irregular orbits. This meaning comes from Li (1975) in The American Mathematical Monthly.[1]

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Nearby constructs

chaos3 fields · 5 citationsjingle · one word, three constructs cycle4 fields · 4 citationsjingle · one word, four constructs dynamics3 fields · 3 citationsjingle · one word, three constructs

References

Li, T., & Yorke, J. A. (1975). Period Three Implies Chaos. The American Mathematical Monthly, 82(10), 985-992. https://doi.org/10.1080/00029890.1975.11994008

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