Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18PM2-D
Session:
Number:18PM2-D-1
A Dissipated Power-Based Analysis of Frequency Entrainment Described by van der Pol and PLL Equations
Yuuichi YOKOI, Yoshihiko SUSUKI, Takashi HIKIHARA,
pp.317-320
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18PM2-D-1
Summary:
This paper performs an analysis of frequency entrainment described by van der Pol and PLL equations based on dissipated power. The entrainment originates from two diRerent types of limit cycle. To explore the relationship between the geometry of limit cycle and the stability of entrainment, we investigate the entrainment by applying dissipated power. The power corresponds to dissipation part of averaged potential by Kuramitsu et al. We show response curves for dissipated power. The result implies that the magnitude of dissipated power is directly related to stability in the equations.