Acta Astronautica 57 (2005) 230–238
www.elsevier.com/locate/actaastro
Chaosoverchaos:Anewapproachforsatellitecommunication
CleversonM.P.Marinho
a , ∗
,ElbertE.N.Macau
b
,TakashiYoneyama
a
a
Instituto Tecnológico de Aeronáutica-ITA, Brazil
b
Instituto Nacional de Pesquisas Espaciais-INPE, Brazil
Abstract
The chaotic dynamics can be exploited for the implementation of efficient and simple communication systems. Chaos
communication explores chaotic synchronization to transmit information appropriately codified on the chaotic invariant set.
This work studied control techniques and chaos synchronization, taking advantage of the chaotic evolution of the Chua
circuit operating in double scroll regime and Lorenz system. Two forms were approached to taking advantage of peculiar
characteristics of chaotic systems to transmit information. The first form uses small perturbation to encode the information
inthesymbolicdynamicsofthedoublescrollsystem.Thesecondoneuseschaoticoscillationstomaskthecodifiedchaotic
signal.Theperformanceofthesystemisinvestigated,aswellasitsbehaviorwhenusedtotransmitinformationoveramodel
ofarealchannelwithlimitedbandwidth.
©2005PublishedbyElsevierLtd.
1. Introduction
Digital communications over satellite data links
play an extreme fundamental and important role in
our modern society [1]. Actually, efficient, fast and
reliablecommunicationnetworksaretheframeworks
of our globalized world. Those worldwide networks
can only be envisioned through satellite data links.
However, as the demand for worldwide data trans-
mission increases exponentially, more important are
thetechnologybreakthroughstoallowoverpassesthe
limitsofthedatatransmissioncapacityofthenowa-
days data links [2]. In this scenario, communication
∗
Corresponding author.
E-mail addresses: cleverson@directnet.br (C.M.P. Marinho),
elbert@lac.inpe.br (E.E.N. Macau), takashi@ita.br (T.Yoneyama).
0094-5765/$-see front matter © 2005 Published by Elsevier Ltd.
doi:10.1016/j.actaastro.2005.03.019
with chaos strategies may be envisioned as good so-
lutiontobeexploited [3–8].Theintrinsiccomplexity
embedded on the chaotic dynamics, with its infinite
and numerable unstable periodic orbits, and infinite
irregular aperiodic orbits allow the conception of a
varietyofhighlyefficientcodificationschemeonthe
chaotic evolution; the sensitivity of chaos to small
perturbations of chaotic systems allows them to be
controlled with very small perturbations, with con-
trolling signal power orders of magnitude below the
powerneededtoproduceandsustainthechaoticsys-
tem [2,3,6]. Furthermore, as the chaotic dynamics is
due to the non-linear characteristics of the electronic
components,thecommunicationwithchaosstrategies
can use all the operation excursion of those devices,
which per se magnify the information capacity that
any communication channel can sustain. As a result,