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arXiv · 1310.4898

Symbolic Toolkit for Chaos Explorations

Tingli Xing·Jeremy Wojcik·Roberto Barrio·Andrey Shilnikov
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Abstract

New computational technique based on the symbolic description utilizing kneading invariants is used for explorations of parametric chaos in a two exemplary systems with the Lorenz attractor: a normal model from mathematics, and a laser model from nonlinear optics. The technique allows for uncovering the stunning complexity and universality of the patterns discovered in the bi-parametric scans of the given models and detects their organizing centers -- codimension-two T-points and separating saddles.

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Tingli Xing, Jeremy Wojcik, Roberto Barrio, Andrey Shilnikov. 2013-10-18. Symbolic Toolkit for Chaos Explorations. https://doi.org/10.1007/978-3-319-02925-2_12

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