S.M. Hammel, J.A. Yorke, and C. Grebogi. Numerical orbits of chaotic dynamical processes represent true orbits. Bull. Amer. Math. Soc., 19:465-470, 1988. Home/Search Document Not in Database Summary Related Articles Check |
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A Brief Survey of Issues Relating to the Reliability of Simulation .. - Hayes (Correct)
....noisy solution for both t 0 and t 0. 5.3 Shadowing non hyperbolic systems For non hyperbolic systems, we may have to be satisfied with finite length shadows. The first studies of shadows for non hyperbolic systems appear to be Beyn [8] and Hammel et al. 31] Grebogi, Hammel, Yorke, and Sauer [32, 28] provide the first rigorous proof of the existence of a shadow for a non hyperbolic system over a non trivial length of time. For their method to work, the system does not need to be uniformly hyperbolic, but only strongly hyperbolic. Their method consists of two parts. First, they refine a ....
Stephen M. Hammel, James A. Yorke, and Celso Grebogi. Numerical Orbits of Chaotic Dynamical Processes Represent True Orbits. Bull. Am. Math. Soc., 19:465--470, 1988.
The Maintenance of Uncertainty - Smith (1997) (1 citation) (Correct)
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S.M. Hammel, J.A. Yorke, and C. Grebogi. Numerical orbits of chaotic dynamical processes represent true orbits. Bull. Amer. Math. Soc., 19:465-470, 1988.
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