Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 47, Issue 21, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/21/215101
Keywords
chaos; connecting curves; vortex core curves; catastrophe theory; strange attractor
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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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