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Slow Manifold Integration on a Diffusion Map Parameterization

Author(s): Gear, C.W.; Kevrekidis, Yannis G.; Sonday, B.E.

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Abstract: We experiment with the the use of diffusion maps to parameterize a low-dimensional attracting manifold of a high-dimensional ODE system in order to be able to repeatedly compute trajectories on that manifold. By integrating directly on that manifold we can avoid the stiffness of the original system. © 2011 American Institute of Physics.
Publication Date: 28-Nov-2011
Citation: Gear, CW, Kevrekidis, Yannis G., Sonday, BE. (2011). Slow manifold integration on a diffusion map parameterization. AIP Conference Proceedings, 1389 (13 - 16). doi:10.1063/1.3636659
DOI: doi:10.1063/1.3636659
ISSN: 0094-243X
EISSN: 1551-7616
Pages: 13 - 16
Type of Material: Journal Article
Journal/Proceeding Title: AIP Conference Proceedings
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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