Presentation 1995/9/29
A Computational Method to 0btain Bifurcation Parameters of Limit Cycles
Tetsushi Ueta, Yuji Katsuta, Hiroshi Kawakami,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We propose a numerical method to obtain the bifurcation parameters of nonlinear autonomous systems. The bifurcation parameter, fixed point, period are calculated simultaneous by Newton's method regarding the return time as an independent variable. In the Newton's method, the Jacobi matrix can be reduced and convergence of the recurrent scheme is improved as compared with conventional method. We also investigate the calculation method for characteristic equation at the stage of implementation of the algorithm.
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Keyword(in English) autonomous system / bifurcation / fixed point / period, Newton's method
Paper # NLP95-43
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Conference Information
Committee NLP
Conference Date 1995/9/29(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Computational Method to 0btain Bifurcation Parameters of Limit Cycles
Sub Title (in English)
Keyword(1) autonomous system
Keyword(2) bifurcation
Keyword(3) fixed point
Keyword(4) period, Newton's method
1st Author's Name Tetsushi Ueta
1st Author's Affiliation The University of Tokushima()
2nd Author's Name Yuji Katsuta
2nd Author's Affiliation Ube National College of Technology
3rd Author's Name Hiroshi Kawakami
3rd Author's Affiliation The University of Tokushima
Date 1995/9/29
Paper # NLP95-43
Volume (vol) vol.95
Number (no) 280
Page pp.pp.-
#Pages 6
Date of Issue