Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640588 | Journal of Computational and Applied Mathematics | 2010 | 19 Pages |
Abstract
In this paper we design and implement rigorous algorithms for computing symbolic dynamics for piecewise-monotone-continuous maps of the interval. The algorithms are based on computing forwards and backwards approximations of the boundary, discontinuity and critical points. We explain how to handle the discontinuities in the symbolic dynamics which occur when the computed partition element boundaries are not disjoint. The method is applied to compute the symbolic dynamics and entropy bounds for the return map of the singular limit of a switching system with hysteresis and the forced Van der Pol equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lorenzo Sella, Pieter Collins,