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Abstract: A true trajectory of a chaotic dynamical system lying near an approximate trajectory is called a shadow. Finding shadows of numerical trajectories of ODE systems is very compute intensive, and until recently it has been infeasible to study shadows of higher-dimensional systems. We study the shadowing algorithm introduced by Grebogi, Hammel, Yorke and Sauer in 1990 and extended to arbitrary Hamiltonian systems by Quinlan and Tremaine in 1992, and introduce several major optimizations resulting... (Update)
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BibTeX entry: (Update)
Wayne Hayes and Kenneth R. Jackson. A fast shadowing algorithm for high dimensional ODE systems. Unpublished. http://citeseer.ist.psu.edu/hayes96fast.html More
@misc{ hayes-fast,
author = "W. Hayes and K. Jackson",
title = "A fast shadowing algorithm for high dimensional ODE systems",
text = "Wayne Hayes and Kenneth R. Jackson. A fast shadowing algorithm for high
dimensional ODE systems. Unpublished.",
url = "citeseer.ist.psu.edu/hayes96fast.html" }
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