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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2002 Volume 7, Issue 3, Pages 281–289 (Mi rcd817)

On Hypercomplex Dynamics

A. D. Morozov

University of Nizhny Novgorod, Nizhny Novgorod, Russia

Abstract: Square mappings in a three-dimensional hyperspace are considered. The properties of the closure of a set of repelling points are studied. In some sense, this closure is analogous to a Julia set. Computer-aided visualizations of this set are given.

MSC: 58F05, 58F36

Received: 20.02.2002

Language: English

DOI: 10.1070/RD2002v007n03ABEH000210



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