Title :
Free, forced, and coupled oscillators´ dynamics
Author_Institution :
Odyniec Consulting, El Cerrito, CA, USA
Abstract :
This tutorial reviews nonlinear methods of oscillator analysis. Single oscillator is used to introduce the concept of invariant surfaces that persist under small perturbations and their relationship to the linear theory, harmonic balance, and phase noise analysis. The method is expanded to coupled oscillators and applied to oscillatory phenomena at cell and at molecular levels.
Keywords :
coupled circuits; nonlinear network analysis; phase noise; radiofrequency oscillators; coupled oscillator dynamics; electromagnetic coupling; harmonic balance analysis; linear theory; nervous system; nonlinear methods; oscillator analysis; perturbation technique; phase noise analysis; phase synchronization; Circuits; Electromagnetic analysis; Electromagnetic coupling; Equations; Frequency synchronization; Harmonic analysis; Nervous system; Oscillators; Phase noise; Stability analysis;
Conference_Titel :
Microwave Symposium Digest, 2005 IEEE MTT-S International
Print_ISBN :
0-7803-8845-3
DOI :
10.1109/MWSYM.2005.1516759
