| ID | 110695 |
| Author |
Ueta, Tetsushi
Faculty of Engineering, University of Tokushima
Tokushima University Educator and Researcher Directory
KAKEN Search Researchers
Kawakami, Hiroshi
Faculty of Engineering, University of Tokushima
Tokushima University Educator and Researcher Directory
|
| Keywords | Josephson junction
pendulum
frictional clutch
bifurcation
chaos
|
| Content Type |
Journal Article
|
| Description | 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.
|
| Journal Title |
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
|
| ISSN | 09168508
|
| NCID | AA10826239
|
| Publisher | The Institute of Electronics, Information and Communication Engineers
|
| Volume | E79-A
|
| Issue | 10
|
| Start Page | 1546
|
| End Page | 1550
|
| Sort Key | 1546
|
| Published Date | 1996-10-25
|
| Remark | (c)1996 The Institute of Electronics, Information and Communication Engineers
IEICE Transactions Online TOP：http://search.ieice.org/ |
| EDB ID | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
|
| TextVersion |
Publisher
|
| departments |
Center for Administration of Information Technology
Science and Technology
|
