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Coupled logistic maps in physico-chemical processes: coexisting attractors and their implications

โœ Scribed by Alessandro Ferretti; Naseem K. Rahman


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
403 KB
Volume
140
Category
Article
ISSN
0009-2614

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โœฆ Synopsis


Coexisting multiply periodic stable solutions have been found numerically for a coupled logistic map with symmetric coupling. These correspond to period 4 and period 6 attractors. The evolution towards chaos of the period 6 attractor, as well as the basins of attraction in the space of the initial conditions, have been studied. A threshold value for the transition from singly periodic to multiply periodic solutions has been determined. Connections between these results and processes of interest in chemical physics are discussed.


๐Ÿ“œ SIMILAR VOLUMES


A study of coupled logistic maps and the
โœ A. Ferretti; N.K. Rahman ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

Computations have been performed with the aid of coupled logistic maps. Regions of chaos and quasiperiodicity have been delineated in the relevant parameter space. The largest Lyapunov exponent has been calculated and corroborates the results obtained. The relevance and use of such maps is discussed