6533b86ffe1ef96bd12cdece

RESEARCH PRODUCT

Subharmonic phase-lock criteria for a class of weakly non-linear high-order oscillators

A.m. SommarivaE.f. Calandra

subject

SubharmonicNegative conductanceApplied MathematicsMathematical analysisComputer Science ApplicationsElectronic Optical and Magnetic MaterialsNonlinear systemAmplitudeControl theoryWaveformElectrical and Electronic EngineeringHigh orderEntrainment (chronobiology)Electronic circuitMathematics

description

Subharmonic frequency entrainment of high-order weakly non-linear oscillators is investigated. For the class of circuits considered, equations are first derived which provide the first approximation values for the amplitudes and phases of the two main spectral components of the steady-state waveform. Necessary and sufficient stability criteria are then derived in explicit from. The example worked out (a negative conductance double-tuned oscillator) shows the efficiency and ease of use of the proposed method.

10.1002/cta.4490130402http://hdl.handle.net/11379/155433