Hilliam, Rachel M. and Lawrance, Anthony J.
The dynamics and statistics of bivariate chaotic maps in communications modeling.
International Journal of Bifurcation and Chaos (IJBC), 14(4),
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Statistical and dynamical properties of bivariate (two-dimensional) maps are less understood than their univariate counterparts. This paper gives a synthesis of extended results with exemplifications by bivariate logistic maps, the bivariate Arnold cat map and a bivariate Chebyshev map. The use of synchronization from bivariate maps in communication modeling is exemplified by an embryonic chaos shift keying system.
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