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Original Articles
Fixed Points and Factoring Iterates of the Logistic Map
Paul Brackenbracken@panam.eduDepartment of MathematicsUniversity of TexasEdinburg, TX, 78541–2999View full profile →
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- Received:
- 01 Jul 2004
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2005.10698489
- Pages:
- 67–75
Abstract
The dynamics of the one-dimensional mapping f(x) = rx(1 − x) under iteration is investigated. The cycles one through four are discussed, and the onset of periodic points in the three and four-cycles are treated by solving for r and x at the values where the n-th iterate f((x) intersects and is simultaneously tangent to the line y = x.
Keywords
References
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