Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B3L-C

Session:

Number:318

Mapping densities in a noisy state space

Domenico Lippolis,  

pp.318-321

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.318

PDF download (629.2KB)

Summary:
Weak noise smooths out fractals in a chaotic state space and introduces a maximum attainable resolution to its structure. The balance of noise and deterministic stretching/contraction in each neighborhood introduces local invariants of the dynamics that can be used to partition the state space. We study the local discrete-time evolution of a density in a two-dimensional hyperbolic state space, and use the asymptotic eigenfunctions for the noisy dynamics to formulate a new state space partition algorithm.

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