Premium
Periodic Orbits of Quadratic Polynomials
Author(s) -
Erkama Timo
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609306018716
Subject(s) - mathematics , quadratic equation , mathematics subject classification , quadratic function , pure mathematics , subject (documents) , algebra over a field , geometry , computer science , library science
It is known that quadratic polynomials do not have real rational orbits of period four. By using a two‐dimensional model for the quadratic family, this result is generalized for complex rational orbits. 2000 Mathematics Subject Classification 30D05 (primary), 11G30 (secondary).