Symbolic computation in nonlinear dynamics
β Scribed by Robert M. Corless
- Book ID
- 112715301
- Publisher
- World Scientific Publishing Company
- Year
- 1995
- Tongue
- English
- Weight
- 804 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1230-1612
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π SIMILAR VOLUMES
## Abstract We investigate computable subshifts and the connection with effective symbolic dynamics. It is shown that a decidable Ξ ^0^~1~ class __P__ is a subshift if and only if there exists a computable function __F__ mapping 2^β^ to 2^β^ such that __P__ is the set of itineraries of elements of 2
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 t