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chao-dyn1999★ 27 cited
From template analysis to generating partitions II: Characterization of the symbolic encodings
Jerome Plumecoq, Marc Lefranc
We give numerical evidence of the validity of a previously described algorithm for constructing symbolic encodings of chaotic attractors from a template analysis. We verify that th…
chao-dyn1999★ 43 cited
From template analysis to generating partitions I: Periodic orbits, knots and symbolic encodings
Jerome Plumecoq, Marc Lefranc
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…