Abstract
Knots corresponding to the Rössler chaotic model are defined. A systematic method to determine the knots for any order of the chaotic trajectory is given. For the m chaotic path Rm, a minimal (2m−1)-braid representative is given. Hence the order of the chaotic trajectory is knot invariant. An algorithm for constructing any Rössler knot, using a figure eight knot, is given.
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