In this brief we investigate the Shilnikov homoclinic bifurcation in a new type of phase-locked loop(PLL) having a second-order loop filter. This system can be represented as a third-order autonomoussystem with piecewise-linear characteristics. By using piecewise-linear analysis, bifurcationequations for many types of homoclinic orbits are derived. Solving these equations gives manyShilnikov-type homoclinic orbits. We present bifurcation diagrams for the homoclinic orbits in thegain (K{sub}0) versus detuning (Δω) plane. Finally, we demonstrate the role of the homoclinicorbits in the global bifurcation of attractors both by computer simulation and experiments.
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