Abstract
It is nowaday well established, both theoretically and experimentally, that the chaotic time evolution observed in many natural phenomena may be produced by the non-linear interaction of a small number of degrees of freedom1 In spatially extended systems low dimensional chaos is often associated with relevant spatial effects, such as mode competition, travelling waves, localized oscillations2, but the unpredictable time evolution does not influence the spatial order, that is to say the correlation length is comparable with the size of the system. However an extended system may present a chaotic evolution both in space and time that, instead, implies the presence of many degrees of freedom3. The study of the transition from low dimensional chaos to spatiotemporal chaos is a subject of current interest that is not jet completely understood. For example it is important to investigate whether there are general features that are independent of the specific system under study and whether a thermodynamic description may be appropriate3,4.
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References
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© 1991 Plenum Press, New York
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Ciliberto, S. (1991). Statistical Properties of the Transition to Spatiotemporal Chaos. In: Bishop, A.R., Pokrovsky, V.L., Tognetti, V. (eds) Microscopic Aspects of Nonlinearity in Condensed Matter. NATO ASI Series, vol 264. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5961-6_3
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DOI: https://doi.org/10.1007/978-1-4684-5961-6_3
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