Neutral one-dimensional attractor of a two-dimensional system derived from Newton's means

Tomasz Nowicki; Grezegorz Świrszcz

doi:10.3934/proc.2005.2005.700

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2005, Volume 2005: 700-709. Doi: 10.3934/proc.2005.2005.700 open access

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Neutral one-dimensional attractor of a two-dimensional system derived from Newton's means

Tomasz Nowicki^1, and
Grezegorz Świrszcz^1,

1.
IBM Watson Research Center, 1101 Kitchawan Road, Route 134, P.O. Box 218, Yorktown Heights,NY 10598

Received: August 31, 2004

Revised: March 31, 2005

Published: August 2005

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Abstract

We investigate a special case of Newton's means as an example of a two dimensional rational dynamical system with an observed neutral behavior. We provide the reason for such a behavior and state a program for further investigations.

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Mathematics Subject Classification: Primary: 37D45, 37MF05; Secondary: 65PC40, 26E60.

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