ID 110699
著者
ツエイケ, マサフミ Faculty of Engineering, Tokushima University
川上, 博 Faculty of Engineering, Tokushima University 徳島大学 教育研究者総覧
カツタ, ユウジ Department of Intelligent system Engineering, Ube National College of Technology
キーワード
limit cycle
bifurcation
characteristic equation
Newton's method
資料タイプ
学術雑誌論文
抄録
This letter describes a new computational method to obtain the bifurcation parameter value of a limit cycle in nonlinear autonomous systems. The method can calculate a parameter value at which local bifurcations; tangent, period-doubling and Neimark-Sacker bifurcations are occurred by using properties of the characteristic equation for a fixed point of the Poincaré mapping. Conventionally a period of the limit cycle is not used explicitly since the Poincaré mapping needs only whether the orbit reaches a cross-section or not. In our method, the period is treated as an independent variable for Newton's method, so an accurate location of the fixed point, its period and the bifurcation parameter value can be calculated simultaneously. Although the number of variables increases, the Jacobian matrix becomes simple and the recurrence procedure converges rapidly compared with conventional methods.
掲載誌名
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
ISSN
09168508
cat書誌ID
AA10826239
出版者
The Institute of Electronics, Information and Communication Engineers
E80-A
9
開始ページ
1725
終了ページ
1728
並び順
1725
発行日
1997-09-25
備考
(c)1997 The Institute of Electronics, Information and Communication Engineers
IEICE Transactions Online TOP:http://search.ieice.org/
EDB ID
22071
出版社版URL
フルテキストファイル
言語
eng
著者版フラグ
出版社版
部局
情報センター
医学系
理工学系