Simulating a chaotic process
Computer simulations of partial differential equations of mathematical physics typically lead to some kind of high-dimensional dynamical system. When there is chaotic behavior we are faced with fundamental dynamical difficulties. We choose as a paradigm of such high-dimensional system a kicked double rotor. This system is investigated for parameter values at which it is strongly non-hyperbolic through a mechanism called unstable dimension variability, through which there are periodic orbits embedded in a chaotic attractor with different numbers of unstable directions. Our numerical investigation is primarily based on the analysis of the finite-time Lyapunov exponents, which gives us useful hints about the onset and evolution of unstable dimension variability for the double rotor map, as a system parameter (the forcing amplitude) is varied.
| Principais autores: | , , , |
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| Formato: | Digital revista |
| Idioma: | English |
| Publicado em: |
Sociedade Brasileira de Física
2005
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| Acesso em linha: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000100010 |
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