ID 110695
著者
川上, 博 Faculty of Engineering, University of Tokushima 徳島大学 教育研究者総覧
キーワード
Josephson junction
pendulum
frictional clutch
bifurcation
chaos
資料タイプ
学術雑誌論文
抄録
Bifurcation Phenomena observed in a circuit containing two Josephson junctions coupled by a resistor are investigated. This circuit model has a mechanical analogue: Two damped pendula linked by a clutch exchanging kinetic energy of each pendulum. In this paper, firstly we study equilibria of the system. Bifurcations and topological properties of the equilibria are clarified. Secondly we analyze periodic solutions in the system by using suitable Poincaré mapping and obtain a bifurcation diagram. There are two types of limit cycles distinguished by whether the motion is in S1×R3 or T2×R2, since at most two cyclic coordinates are included in the state space. There ia a typical structure of tangent bifurcation for 2-periodic solutions with a cusp point. We found chaotic orbits via the period-doubling cascade, and a long-period stepwise orbit.
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
E79-A
10
開始ページ
1546
終了ページ
1550
並び順
1546
発行日
1996-10-25
備考
(c)1996 The Institute of Electronics, Information and Communication Engineers
IEICE Transactions Online TOP:http://search.ieice.org/
EDB ID
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
理工学系