Journal article
Computation of saddle-type slow manifolds using iterative methods
This paper presents an alternative approach for the computation of trajectory segments on slow manifolds of saddle type. This approach is based on iterative methods rather than collocation-type methods. Compared to collocation methods, which require mesh refinements to ensure uniform convergence with respect to , appropriate estimates are directly attainable using the method of this paper.
The method is applied to several examples, including a model for a pair of neurons coupled by reciprocal inhibition with two slow and two fast variables, and the computation of homoclinic connections in the FitzHugh–Nagumo system.
Language: | English |
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Publisher: | Society for Industrial and Applied Mathematics |
Year: | 2015 |
Pages: | 1189-1227 |
ISSN: | 15360040 |
Types: | Journal article |
DOI: | 10.1137/140961948 |
ORCIDs: | Kristiansen, Kristian Uldall |
34E13 34E15 37M99 reduction methods slow manifolds of saddle type slow-fast systems