Symbolic Toolkit for Chaos Explorations

Por • 27 oct, 2013 • Sección: Ciencia y tecnología

Tingli Xing, Jeremy Wojcik, Roberto Barrio, Andrey Shilnikov

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.

arXiv:1310.4898v1 [nlin.CD]

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