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August  2006, 15(3): 905-919. doi: 10.3934/dcds.2006.15.905

Dynamics of the degree six Landen transformation

1. 

Department of Mathematics and Computer Science, Grinnell College, Grinnell, IA 50112, United States

2. 

Department of Mathematics, Tulane University, New Orleans, LA 70118, United States

Received  March 2005 Revised  November 2005 Published  April 2006

We establish the basin of attraction for the fixed point $(3,3)$ of a dynamical system arising from the evaluation of a definite integral.
Citation: Marc Chamberland, Victor H. Moll. Dynamics of the degree six Landen transformation. Discrete and Continuous Dynamical Systems, 2006, 15 (3) : 905-919. doi: 10.3934/dcds.2006.15.905
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