Bifurcation of an Inductively Coupled Josephson Junction Circuit (Special Section on Nonlinear Theory and Its Applications)
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概要
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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 S^1×R^3 because the system has a periodicity for the invariant transformation. In this paper, we study the properties of periodic solutions winding around S^1 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 S^1 are calculated by using a suitable Poincare mapping, and some properties of periodic solutions are discussed. From these analyses, we clarify that a periodic solution so-called "caterpillar solution" [1] is observed when the two Josephson junction circuits are weakly coupled.
- 社団法人電子情報通信学会の論文
- 1994-11-25
著者
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KAWAKAMI Hiroshi
Faculty of Engineering, The University of Tokushima
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Ueta Tetsushi
Faculty Of Engineering Tokushima University
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Ueta Tetsushi
Faculty Of Engineering The University Of Tokushima
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Kawakami Hiroshi
Faculty Of Engineering Kyushu University.
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