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R. I. Leine, D. H. Van Campen and B. L. Van der Vrande, “Bifurcations in Nonlinear Discontinuous Systems,” Nonlinear Dynamics, Vol. 23, No. 2, October 2000, pp. 105-164. doi:10.1023/A:1008384928636

has been cited by the following article:

• TITLE: Derivation of Floquet Eigenvectors Displacement for Optimal Design of LC Tank Pulsed Bias Oscillators

  AUTHORS: Stefano Perticaroli, Nikend Luli, Fabrizio Palma

  KEYWORDS: Floquet Eigenvectors Noise Decomposition, Pulsed Bias Oscillator, Oscillator Phase Noise

  JOURNAL NAME: Circuits and Systems, Vol.2 No.4, October 24, 2011

  ABSTRACT: The paper presents an approximated and compact derivation of the mutual displacement of Floquet eigenvectors in a class of LC tank oscillators with time varying bias. In particular it refers to parallel tank oscillators of which the energy restoring can be modeled through a train of current pulses. Since Floquet eigenvectors are acknowledged to give a correct decomposition of noise perturbations along the stable orbit in oscillator's space state, an analytical and compact model of their displacement can provide useful criteria for designers. The goal is to show, in a simplified case, the achievement of oscillators design oriented by eigenvectors. To this aim, minimization conditions of the effect of stationary and time varying noise as well as the contribution of jitter noise introduced by driving electronics are deduced from analytical expression of eigenvectors displacement.