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nlin.CD2005★ 63 cited
Analytical and Numerical Investigation of the Phase-Locked Loop with Time Delay
Michael Schanz, Axel Pelster
We derive the normal form for the delay-induced Hopf bifurcation in the first-order phase-locked loop with time delay by the multiple scaling method. The resulting periodic orbit i…
nlin.CD2002★ 16 cited
Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation
Michael Schanz, Axel Pelster
We apply the synergetic elimination procedure for the stable modes in nonlinear delay systems close to a dynamical instability and derive the normal form for the delay-induced Hopf…