A Monte-Carlo approach to the effect of noise on local stability in polynomial difference equations
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| Format: | Artículo científico |
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Escuela Regional de Matemáticas
2008
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| _version_ | 1876467774284365824 |
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| author | Cónall Kelly |
| author_facet | Cónall Kelly |
| contents | A Monte-Carlo approach to the effect of noise on local stability in polynomial difference equations Cónall Kelly Kirk Morgan Física, Astronomía y Matemáticas Monte Local stability Carlo simulation Difference equation Discrete stochastic process We present an analysis of the stability behaviour of a class of one-step difference equations describing an iterated polynomial mapping. Such equations are commonly used to model population dynamics in discrete time. We use Monte-Carlo methods to investigate the effect of a state-dependent random perturbation on the local stability of such equations. In particular we focus on the probability of stability in transitionary initial-value regions; regions where a switchin the qualitative behaviour of the deterministic equation is observed. 2008 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46816201 http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num. 2 Vol.XVI |
| format | Artículo científico |
| id | redalyc_46816201 |
| institution | Redalyc |
| language | |
| publishDate | 2008 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | A Monte-Carlo approach to the effect of noise on local stability in polynomial difference equations Cónall Kelly Física, Astronomía y Matemáticas Monte Local stability Carlo simulation Difference equation Discrete stochastic process A Monte-Carlo approach to the effect of noise on local stability in polynomial difference equations Cónall Kelly Kirk Morgan Física, Astronomía y Matemáticas Monte Local stability Carlo simulation Difference equation Discrete stochastic process We present an analysis of the stability behaviour of a class of one-step difference equations describing an iterated polynomial mapping. Such equations are commonly used to model population dynamics in discrete time. We use Monte-Carlo methods to investigate the effect of a state-dependent random perturbation on the local stability of such equations. In particular we focus on the probability of stability in transitionary initial-value regions; regions where a switchin the qualitative behaviour of the deterministic equation is observed. 2008 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46816201 http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num. 2 Vol.XVI |
| title | A Monte-Carlo approach to the effect of noise on local stability in polynomial difference equations |
| topic | Física, Astronomía y Matemáticas Monte Local stability Carlo simulation Difference equation Discrete stochastic process |
| url | https://www.redalyc.org/articulo.oa?id=46816201 |