Please use this identifier to cite or link to this item:
http://hdl.handle.net/1983/1064
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| Title: | Stability calculations for piecewise-smooth delay equations |
| Author(s): | Barton, DAW |
| Publication or creation date: | 12-Mar-2008 |
| Abstract: | This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using discontinuity mappings to `correct' the linearized period map. However, this approach is less convenient for systems with delays due to the infinite dimensional nature of the problem. Additional problems arise due to the discontinuity propagation properties of delay differential equations. The method proposed is based around a multi-point boundary value solver, which allows the correct linearized period map to be constructed directly. We present numerical examples showing the rapid convergence of the method and also illustrate its use as part of a numerical bifurcation study. |
| Subject keywords: | piecewise-smooth
delay
DDE
stability
numerical continuation |
| Sponsors: | Great Western Research |
| Document type: | Preprint |
| Appears in Collections: | Bristol Centre for Applied Nonlinear Mathematics
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