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On the numerical computation of orbits of dynamical systems: The one-dimensional case (1991)

Chow, Shui-Nee ; Palmer, Kenneth J.

Springer

Journal of dynamics and differential equations 3 (1991), S. 361-379

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ISSN: 1572-9222

Schlagwort(e): Dynamical systems ; numerically computed orbits ; shadowing ; pseudo-orbits ; round-off ; expansiveness

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01049737

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