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Article: New chaos research study results reported from University of Strathclyde.
- Article from:
- Robotics & Machine Learning
- Article date:
- November 2, 2009
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According to recent research published in the journal Chaos, "We explore the possibility of extending the stabilizing transformations approach [J. J. Crofts and R. L. Davidchack, SIAM J. Sci. Comput. (USA) 28, 1275 (2006)]. to the problem of locating large numbers of unstable periodic orbits in high-dimensional flows, in particular those that result from spatial discretization of partial differential equations. The approach has been shown to be highly efficient when detecting large sets of periodic orbits in low-dimensional maps."
"Extension to low-dimensional flows has been achieved by the use of an appropriate Poincareacute surface of section [D. Pingel, P. ...