Presentation 2008-10-14
Finding Periodic Solutions by Complex Homotopy Based on Harmonic Balance Method
Katsuya NOMURA, Takashi HISAKADO,
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Abstract(in English) In finding periodic solutions, the methods of formulation are classified into two types whether the equation is obtained based on time-domain or frequency-domain. Shooting method is one of the methods based on time-domain and harmonic balance method is one of the methods based on frequency-domain. To find periodic solutions efficiently, it is proposed that the method using complex homotopy based on shooting method. However, the homotopy path is not always continuous because of moving branch point. This paper presents finding periodic solutions using complex homotopy based on harmonic balance method, and compares to that based on shooting method.
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Keyword(in English) periodic solution / complex homotopy / harmonic balance method / shooting method
Paper # CAS2008-35,NLP2008-47
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Committee NLP
Conference Date 2008/10/7(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Finding Periodic Solutions by Complex Homotopy Based on Harmonic Balance Method
Sub Title (in English)
Keyword(1) periodic solution
Keyword(2) complex homotopy
Keyword(3) harmonic balance method
Keyword(4) shooting method
1st Author's Name Katsuya NOMURA
1st Author's Affiliation Department of Electrical Engineering Kyoto University()
2nd Author's Name Takashi HISAKADO
2nd Author's Affiliation Department of Electrical Engineering Kyoto University
Date 2008-10-14
Paper # CAS2008-35,NLP2008-47
Volume (vol) vol.108
Number (no) 240
Page pp.pp.-
#Pages 6
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