63 citations · 110 across the 3 of their papers we have counts for
3 papers
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…
math-ph2002★ 31 cited
High-Order Variational Calculation for the Frequency of Time-Periodic Solutions
Axel Pelster, Hagen Kleinert, Michael Schanz
We develop a convergent variational perturbation theory for the frequency of time-periodic solutions of nonlinear dynamical systems. The power of the theory is illustrated by apply…
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…