Please use this identifier to cite or link to this item:
http://hdl.handle.net/1983/530
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| Title: | Bifurcation analysis tools for neutral delay equations : a case study |
| Author(s): | Barton, DAW
Krauskopf, B
Wilson, RE |
| Publication or creation date: | 2005 |
| Abstract: | This paper studies an established transmission line model of an electrical device used to generate high-frequency chaos. The model is formulated as a neutral delay differential equation (NDDE) and has been shown to possess a period-doubling route to chaos, which matches experimental results. The NDDE model is investigated with newly developed numerical continuation routines to produce one-parameter and two-parameter bifurcation diagrams. In this way regions are identified where chaotic dynamics may occur. In addition to the chaotic dynamics other interesting dynamical effects are highlighted. |
| Document type: | Preprint |
| Appears in Collections: | Bristol Centre for Applied Nonlinear Mathematics
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