Loading [MathJax]/extensions/MathZoom.js
Analyzing oscillators using multitime PDEs | IEEE Journals & Magazine | IEEE Xplore

Analyzing oscillators using multitime PDEs


Abstract:

Oscillators are often difficult to analyze or simulate, because they generate waveforms that can span a range of widely separated time scales. We present a general oscill...Show More

Abstract:

Oscillators are often difficult to analyze or simulate, because they generate waveforms that can span a range of widely separated time scales. We present a general oscillator formulation that separates slow and fast dynamics without approximations, and captures amplitude and frequency modulation in a natural and compact manner. To handle frequency-modulation effectively, we make use of a novel concept, warped time, within a multitime partial differential equation framework. The equations incorporate an explicit time-varying frequency variable that matches intuitive notions of changing frequency in a frequency-modulated signal. The formulation is useful for both hand analysis and numerical simulation.
Page(s): 894 - 903
Date of Publication: 15 July 2003

ISSN Information:


References

References is not available for this document.