ID 110695
Author
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
72635
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Center for Administration of Information Technology
Science and Technology