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Connecting curves in higher dimensions
Journal article   Open access   Peer reviewed

Connecting curves in higher dimensions

Greg Byrne, Robert Gilmore and Juan Cebral
Journal of physics. A, Mathematical and theoretical, v 47(21), p21
13 May 2014
url
http://arxiv.org/abs/1305.2960View

Abstract

catastrophe theory chaos connecting curves strange attractor vortex core curves
Connecting curves have been shown to organize the rotational structure of strange attractors in three-dimensional dynamical systems. We extend the description of connecting curves and their properties to higher dimensions within a special class of differential dynamical systems. The general properties of connecting curves are derived and selection rules stated. Examples are presented to illustrate these properties for dynamical systems of dimension n = 3, 4, 5.

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Collaboration types
Domestic collaboration
Web of Science research areas
Physics, Mathematical
Physics, Multidisciplinary
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