Tuesday 04 Jun 2013AG Dynamics Seminar: Symbolic Toolkit for Exploration of Deterministic Chaos

Andrey Shilnikov - Georgia State University

Harrison 209 16:00-17:00

Computational technique based on the symbolic description utilizing kneading invariants is proposed for exploration of parametric chaos in three exemplary systems with the Lorenz attractor: the canonical model itself, 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. This work is joint with Tingli Xing and Roberto Barrio.

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