Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:C3L-D
Session:
Number:C3L-D1
Complex Time Homotopy for Finding Periodic Oscillations
Takashi Hisakado, Atsushi Koyama,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
This paper proposes to extend the time variable of circuit equations to the complex number field for finding out periodic oscillations in global parameter space. The extension reveals the reason why the homotopy path of complex state variables breaks. Further, the singularities on the complex time plane lead to the classification of the periodic oscillation. The classification enables to search for real solutions efficiently.