Simulating a Chaotic Process
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| Format: | Artículo científico |
| Langue: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876434433532231680 |
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| author | José R. R. Barbosa |
| author_facet | José R. R. Barbosa |
| contents | Simulating a Chaotic Process José R. R. Barbosa Celso Grebogi Antônio M. Batista Ricardo L. Viana Física, Astronomía y Matemáticas Computer simulations of partial differential equations of mathematical physics typically lead to some kind ofhigh-dimensional dynamical system. When there is chaotic behavior we are faced with fundamental dynamicaldifficulties. We choose as a paradigm of such high-dimensional system a kicked double rotor. This system isinvestigated for parameter values at which it is strongly non-hyperbolic through a mechanism called unstabledimension variability, through which there are periodic orbits embedded in a chaotic attractor with differentnumbers of unstable directions. Our numerical investigation is primarily based on the analysis of the finite-timeLyapunov exponents, which gives us useful hints about the onset and evolution of unstable dimension variabilityfor the double rotor map, as a system parameter (the forcing amplitude) is varied. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435109 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.35 |
| format | Artículo científico |
| id | redalyc_46435109 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Simulating a Chaotic Process José R. R. Barbosa Física, Astronomía y Matemáticas Simulating a Chaotic Process José R. R. Barbosa Celso Grebogi Antônio M. Batista Ricardo L. Viana Física, Astronomía y Matemáticas Computer simulations of partial differential equations of mathematical physics typically lead to some kind ofhigh-dimensional dynamical system. When there is chaotic behavior we are faced with fundamental dynamicaldifficulties. We choose as a paradigm of such high-dimensional system a kicked double rotor. This system isinvestigated for parameter values at which it is strongly non-hyperbolic through a mechanism called unstabledimension variability, through which there are periodic orbits embedded in a chaotic attractor with differentnumbers of unstable directions. Our numerical investigation is primarily based on the analysis of the finite-timeLyapunov exponents, which gives us useful hints about the onset and evolution of unstable dimension variabilityfor the double rotor map, as a system parameter (the forcing amplitude) is varied. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435109 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.35 |
| title | Simulating a Chaotic Process |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435109 |