From template analysis to generating partitions I: Periodic orbits, knots and symbolic encodings

We present a detailed algorithm to construct symbolic encodings for chaotic attractors of three-dimensional flows. It is based on a topological analysis of unstable periodic orbits embedded in the attractor and follows the approach proposed by Lefranc et al. [Phys. Rev. Lett. 73, 1364 (1994)]. For e...

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Veröffentlicht in:	arXiv.org 1999-07
Hauptverfasser:	Plumecoq, Jerome, Lefranc, Marc
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Chaos theory Computer simulation Knots Orbits Partitions Robustness (mathematics) Three dimensional flow Topology
Online-Zugang:	Volltext
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