Route to chaos in a third-order phase-locked loop network
نویسندگان
چکیده
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. & 2009 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Signal Processing
دوره 89 شماره
صفحات -
تاریخ انتشار 2009