A Ramani et al 2008 J. Phys. A: Math. Theor. 41 205204 doi:10.1088/1751-8113/41/20/205204
Discretization-induced delays and their role in the dynamics
A Ramani1, B Grammaticos, J Satsuma2 and R Willox3
Show affiliationsWe show that a discretization of a continuous system may entail 'hidden' delays and thus introduce instabilities. In this case, while the continuous system has an attractive fixed point, the instabilities present in the equivalent discrete one may lead to the appearance of a limit cycle. We explain that it is possible, thanks to the proper staggering of the discrete variables, to eliminate the hidden delay. However, in general, other instabilities may appear in the discrete system which can even lead to chaotic behaviour.
- PACS
- MSC
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70K50 Bifurcations and instability
- Subjects
- Dates
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Issue 20 (23 May 2008)
Received 11 January 2008, in final form 8 April 2008
Published 30 April 2008
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Discretization-induced delays and their role in the dynamics
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