Dynamics of the degree six Landen transformation

Marc Chamberland; Victor H. Moll

doi:10.3934/dcds.2006.15.905

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2006, Volume 15, Issue 3: 905-919. Doi: 10.3934/dcds.2006.15.905

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Dynamics of the degree six Landen transformation

Marc Chamberland^1, and
Victor H. Moll^2,

1.
Department of Mathematics and Computer Science, Grinnell College, Grinnell, IA 50112
2.
Department of Mathematics, Tulane University, New Orleans, LA 70118

Received: February 28, 2005

Revised: October 31, 2005

Published: August 2006

Abstract Related Papers Cited by

Abstract

We establish the basin of attraction for the fixed point $(3,3)$ of a dynamical system arising from the evaluation of a definite integral.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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