ISSN:
1572-9222
Keywords:
Dynamical systems
;
numerically computed orbits
;
shadowing
;
pseudo-orbits
;
round-off
;
expansiveness
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A finite time version of the shadowing theorem is used to develop a procedure to determine the accuracy of numerically computed orbits of one-dimensional maps. The procedure works forward. After any given number of iterates, we can decide whether our theorem applies and, if it does, we can estimate how far the computed orbit is from a true orbit.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01049737
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