

Melnikov Analysis for a Second Order PhaseLocked Loop in the Presence of a Weak CW Interference
HisaAki Tanaka, Shin'ichi Oishi, and Kazuo Horiuchi
IEICE Trans. Fundamentals, Nov. 1994
Keyword
phaselocked loop, CW interference, Melnikov analysis
Abstract
This letter presents the results of an analysis concerning the global, dynamical structure of a second order
phaselocked loop (PLL) in the presence of the PLL equation are focused and analyzed as to how they are extended from
the hyperbolic periodic orbits. Using the Melnikov integral which evaluates the distance between the stable manifolds and
the unstable manifolds, the transversal intersection of these manifolds is proven to occur under some conditions on the
power of the interference and the angular frequency difference between the signal and the interference.
Numerical computations were performed to confirm the transversal intersection of the systemgenerated
invariant manifolds for a practical set of parameters.
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