Title :
Higher harmonic oscillations in duffing - Van der Pol equation
Author_Institution :
Lab. de Recherches en Autom.-E.N.I.T, Ecole Nat. d´´Ing. de Monastir, Monastir
Abstract :
Van der Pol equation submitted to an external driving force gives the bifurcation structure considered in this paper. This structure known as an isoordinal lips cascade is related to the higher harmonic predominance. It is shown that the study of the higher harmonic predominance in a parameter plane leads to conclude about the existence or non-existence of such a bifurcation structure.
Keywords :
bifurcation; harmonic oscillators; relaxation oscillators; Duffing Van Der Pol equation; bifurcation structure; harmonic oscillations; harmonic predominance; isoordinal lips cascade; Bifurcation; Density estimation robust algorithm; Differential equations; Eigenvalues and eigenfunctions; Harmonic analysis; Lips; Nonlinear circuits; RLC circuits; Spectral analysis; Stability;
Conference_Titel :
Electronics, Circuits and Systems, 2005. ICECS 2005. 12th IEEE International Conference on
Conference_Location :
Gammarth
Print_ISBN :
978-9972-61-100-1
Electronic_ISBN :
978-9972-61-100-1
DOI :
10.1109/ICECS.2005.4633377