Quasiperiodicity route to spatiotemporal chaos in one-dimensional pattern-forming systemsReport as inadecuate




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Resumen

We propose a route to spatiotemporal chaos for one-dimensional stationary patterns, which is a naturalextension of the quasiperiodicity route for low-dimensional chaos to extended systems. This route is studiedthrough a universal model of pattern formation. The model exhibits a scenario where stationary patterns becomespatiotemporally chaotic through two successive bifurcations. First, the pattern undergoes a subcritical Andronov-Hopf bifurcation leading to an oscillatory pattern. Subsequently, a secondary bifurcation gives rise to an oscillationwith an incommensurable frequency with respect to the former one. This last bifurcation is responsible for thespatiotemporally chaotic behavior. The Lyapunov spectrum enables us to identify the complex behavior observedas spatiotemporal chaos, and also from the larger Lyapunov exponents characterize the above instabilities.Nota general

Artículo de publicación ISI



Author: Clerc Gavilán, Marcel; - Verschueren, Nicolás; -

Source: http://repositorio.uchile.cl/



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