Please use this identifier to cite or link to this item:
http://hdl.handle.net/1983/245
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| Title: | Computing two-dimensional global invariant manifolds in slow-fast systems |
| Author(s): | England, James
Krauskopf, B
Osinga, HM |
| Publication or creation date: | Jan-2006 |
| Abstract: | We present the GlobalizeBVP algorithm for the computation of two-dimensional stable and unstable manifolds of a vector field. Specifically, we use the collocation routines of AUTO to solve boundary problems that are used during the computation to find the next approximate geodesic level set on the manifold. The resulting implementation is numerically very stable and well suited for systems with multiple time scales. This is illustrated with the test-case example of the well-known Lorenz manifold, and with a slow-fast model of a somatotroph cell |
| Subject keywords: | stable and unstable manifolds
boundary value problems
slow-fast systems |
| Sponsors: | The research of J.E. was supported by grant GR/R94572/01 from the Engineering and
Physical Sciences Research Council (EPSRC); B.K. and H.M.O. have been supported by
EPSRC Advanced Research Fellowship grants GR/A11649/01, EP/C54403X/1 |
| Document type: | Preprint |
| Appears in Collections: | Bristol Centre for Applied Nonlinear Mathematics
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