Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.1568692
Title: The spatial logistic map as a simple prototype for spatiotemporal chaos
Authors: Willeboordse, F.H. 
Issue Date: Jun-2003
Citation: Willeboordse, F.H. (2003-06). The spatial logistic map as a simple prototype for spatiotemporal chaos. Chaos 13 (2) : 533-540. ScholarBank@NUS Repository. https://doi.org/10.1063/1.1568692
Abstract: A spatial extension of the logistic map - termed spatial logistic map - is found to display the same basic universality classes as the commonly studied diffusively coupled logistic lattice despite being vastly simpler. By analyzing the escape rates and the Lyapunov spectra it is shown that the main attractors of the spatial logistic map are stable and hence that it is a good candidate for serving as a prototype for the class of coupled map lattices which it is a part of. The spatial logistic map is then employed to provide an analytical derivation for the recently discovered linear scaling of the wavelength under increasing coupling ranges. © 2003 American Institute of Physics.
Source Title: Chaos
URI: http://scholarbank.nus.edu.sg/handle/10635/98317
ISSN: 10541500
DOI: 10.1063/1.1568692
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