Tl. Carroll, AMPLITUDE-INDEPENDENT CHAOTIC SYNCHRONIZATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3117-3122
There has recently been speculation on whether or not chaotic synchron
ization might be useful for communications. One problem with using cha
otic synchronization to communicate is that the response system is non
linear, so that any variation in the amplitude of the chaotic driving
signal degrades the synchronization of the response system to the driv
e system. In the present work, I show that it is possible to design a
response system that reproduces a scaled version of the chaotic drivin
g signal when the drive signal is attenuated or amplified. A simple co
mmunications system is demonstrated to show that the type of synchroni
zation described here is useful, and the effects of noise on the commu
nications system are studied.