Cycles in Newton´s means |
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| Authors: | Marco Martens Tomasz Nowicki |
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| Institution: | (1) IBM Watson Research Center, Route 134 Kitchawan Road, Yorktown Heights NY 10598, USA (email: {mmartens, tnowicki}@us.ibm.com), US;(2) Institute of Mathematics, Warsaw University, Banacha 2, 02–097 Warszawa, Poland, PL |
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| Abstract: | In the dynamical system defined by Newton′s means for n complex variables, n≥2 there are invariant, planar curves with (chaotic) dynamics conjugated to the dynamics of z↦z
n
on the unit circle in the complex plane.
Oblatum 8-III-2000 & 8-XI-2000?Published online: 5 March 2001 |
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