Odd-Period Cycles of the Logistic Map

AbstractWe locate the onset of odd-period cycles of the logistic map using only elementary algebra and calculus.MSC: 37G1537A99 AcknowledgmentsThe author wishes to thank Profs. Henk Bruin, David Singer, Cheng Zhang, and (particularly) Michał Misiurewicz for helpful conversations.Additional informationNotes on contributorsDavid CalvisDAVID CALVIS serves as Professor of Mathematics at Baldwin Wallace University in the Cleveland area. He received undergraduate degrees in mathematics and music from Case Western Reserve University, and a Ph.D. in mathematics from The University of Michigan under the direction of his esteemed advisor F.W. Gehring. He is grateful to have been in Dr. David Singer’s classrooms during his Case days when, unbeknownst to him, [Citation12] appeared. He is a coauthor of the Edwards-Penney-Calvis textbooks in differential equations.