上田, 哲史 Faculty of Engineering, The University of Tokushima 徳島大学 教育研究者総覧 KAKEN研究者をさがす
川上, 博 Faculty of Engineering, The University of Tokushima 徳島大学 教育研究者総覧
Some qualitative properties of an inductively coupled circuit containing two Josephson junction elements with a dc source are investigated. The system is described by a four–dimensional autonomous differential equation. However, the phase space can be regarded as S1×R3 because the system has a periodicity for the invariant transformation. In this paper, we study the properties of periodic solutions winding around S1 as a bifurcation problem. Firstly, we analyze equilibria in this system. The bifurcation diagram of equilibria and its topological classification are given. Secondly, the bifurcation diagram of the periodic solutions winding around S1 are calculated by using a suitable Poincaré mapping, and some properties of periodic solutions are discussed. From these analyses, we clarify that a periodic solution so–called "caterpillar solution" is observed when the two Josephson junction circuits are weakly coupled.
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
The Institute of Electronics, Information and Communication Engineers
(c)1994 The Institute of Electronics, Information and Communication Engineers
IEICE Transactions Online TOP：http://search.ieice.org/