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

Pages: 700 - 709, Issue Special, August 2005

 Abstract        Full Text (3598.0K)              

Tomasz Nowicki - IBM Watson Research Center, 1101 Kitchawan Road, Route 134, P.O. Box 218, Yorktown Heights,NY 10598, United States (email)
Grezegorz ƚwirszcz - IBM Watson Research Center, 1101 Kitchawan Road, Route 134, P.O. Box 218, Yorktown Heights,NY 10598, United States (email)

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.

Keywords:  dynamical systems, two dimensional dynamics, neutral, attractor .
Mathematics Subject Classification:  Primary: 37D45, 37MF05; Secondary: 65PC40, 26E60.

Received: September 2004;      Revised: April 2005;      Published: September 2005.