# American Institute of Mathematical Sciences

2005, 2005(Special): 700-709. doi: 10.3934/proc.2005.2005.700

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

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

Received  September 2004 Revised  April 2005 Published  September 2005

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.
Citation: Tomasz Nowicki, Grezegorz Świrszcz. Neutral one-dimensional attractor of a two-dimensional system derived from Newton's means. Conference Publications, 2005, 2005 (Special) : 700-709. doi: 10.3934/proc.2005.2005.700
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