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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

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, 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.
Keywords: neutral, dynamical systems, two dimensional dynamics, attractor ..
Mathematics Subject Classification: Primary: 37D45, 37MF05; Secondary: 65PC40, 26E6.
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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