The dynamics and statistics of bivariate chaotic maps in communications modeling

Hilliam, Rachel M. and Lawrance, Anthony J. (2004). The dynamics and statistics of bivariate chaotic maps in communications modeling. International Journal of Bifurcation and Chaos (IJBC), 14(4) pp. 1177–1194.

DOI: https://doi.org/10.1142/S0218127404009788

Abstract

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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