Fast communication: Route to chaos in a third-order phase-locked loop network

Authors:
L. H. A. Monteiro;A. C. Lisboa;M. Eisencraft
Affiliations:
Universidade Presbiteriana Mackenzie, Escola de Engenharia, Pós-graduação em Engenharia Elétrica, Rua da Consolação, n. 896, CEP 01302-907, São Paulo, SP, Brazil ...;Universidade de São Paulo, Escola Politécnica, Departamento de Engenharia de Telecomunicaçíes e Controle, Av. Prof. Luciano Gualberto, travessa 3, n. 380, CEP 05508-900, Sã ...;Universidade Presbiteriana Mackenzie, Escola de Engenharia, Pós-graduação em Engenharia Elétrica, Rua da Consolação, n. 896, CEP 01302-907, São Paulo, SP, Brazil ...
Venue:
Signal Processing
Year:
2009

Citing 5
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Abstract

Phase-locked loops (PLLs) are widely used in applications related to control systems and telecommunication networks. Here we show that a single-chain master-slave network of third-order PLLs can exhibit stationary, periodic and chaotic behaviors, when the value of a single parameter is varied. Hopf, period-doubling and saddle-saddle bifurcations are found. Chaos appears in dissipative and non-dissipative conditions. Thus, chaotic behaviors with distinct dynamical features can be generated. A way of encoding binary messages using such a chaos-based communication system is suggested.