Embedding the symbolic dynamics of Lorenz maps
Tony Samuel, Nina Snigireva, Andrew Vince
TL;DR
This paper establishes conditions for embedding Lorenz map dynamics into interval maps and introduces a new algorithm for calculating their topological entropy.
Contribution
It provides necessary and sufficient conditions for symbolic dynamics embedding and presents a novel algorithm for entropy computation.
Findings
Conditions for symbolic dynamics embedding are characterized.
A new algorithm for topological entropy calculation is proposed.
The results facilitate analysis of Lorenz map complexity.
Abstract
Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.