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Volumn 12, Issue 7, 2002, Pages 1515-1530

Bifurcations of periodic orbits in a Josephson equation with a phase shift

Author keywords

Bifurcation; Josephson equation; Periodic orbits; Phase shift

Indexed keywords

CIRCUIT RESONANCE; COMPUTER SIMULATION; ELECTRIC CURRENTS; HARMONIC ANALYSIS; JOSEPHSON JUNCTION DEVICES; PHASE SHIFT;

EID: 0036658346     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127402005261     Document Type: Article
Times cited : (15)

References (23)
  • 1
    • 0018498528 scopus 로고
    • On the dynamics of Josephson junction circuits
    • Abidi, A.A. & Chua, L.O. [1979] "On the dynamics of Josephson junction circuits," Electron. Circuits Syst. 3, 186-200.
    • (1979) Electron. Circuits Syst. , vol.3 , pp. 186-200
    • Abidi, A.A.1    Chua, L.O.2
  • 2
    • 0001702423 scopus 로고
    • Prediction of chaos in a Josephson junction by the Melnikov-function technique
    • Bartuccelli, M., Christiansen, P.L., Pedesen, N.F. & Soerensen, M.P. [1986] "Prediction of chaos in a Josephson junction by the Melnikov-function technique," Phys. Rev. B33, 4686-4691.
    • (1986) Phys. Rev. , vol.B33 , pp. 4686-4691
    • Bartuccelli, M.1    Christiansen, P.L.2    Pedesen, N.F.3    Soerensen, M.P.4
  • 3
    • 24444471325 scopus 로고
    • Shunted-Josephson model. I. The autonomous. II. The non-autonomous case
    • Belyky, V.N., Pedersen, N.F. & Soerensen, O.H. [1977] "Shunted-Josephson model. I. The autonomous. II. The non-autonomous case," Phys. Rev. B16, 4853-4871.
    • (1977) Phys. Rev. , vol.B16 , pp. 4853-4871
    • Belyky, V.N.1    Pedersen, N.F.2    Soerensen, O.H.3
  • 4
    • 0035427248 scopus 로고    scopus 로고
    • Chaotic dynamics for Josephson equation with a phase shift
    • Cao, H.J. & Jing, Z.J. [2001] "Chaotic dynamics for Josephson equation with a phase shift," Chaos Solit. Fract. 14, 1887-1895.
    • (2001) Chaos Solit. Fract. , vol.14 , pp. 1887-1895
    • Cao, H.J.1    Jing, Z.J.2
  • 7
    • 0019608348 scopus 로고
    • Second order averaging and bifurcations to subharmonics in Duffing's equation
    • Holmes, C. & Holmes, P. [1981] "Second order averaging and bifurcations to subharmonics in Duffing's equation," J. Sound Vib. 78, 161-174.
    • (1981) J. Sound Vib. , vol.78 , pp. 161-174
    • Holmes, C.1    Holmes, P.2
  • 8
    • 0020944469 scopus 로고
    • Application of qualitative methods of differential equations to study phase-locked loops
    • Jing, Z.J. [1983] "Application of qualitative methods of differential equations to study phase-locked loops," SIAM J. Appl. Math. 43, 1749-1758.
    • (1983) SIAM J. Appl. Math. , vol.43 , pp. 1749-1758
    • Jing, Z.J.1
  • 9
    • 0010790288 scopus 로고
    • Chaotic behavior in the Josephson equations with periodic force
    • Jing, Z.J. [1989] "Chaotic behavior in the Josephson equations with periodic force," SIAM J. Appl. Math. 49, 847-856.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 847-856
    • Jing, Z.J.1
  • 11
    • 50549180114 scopus 로고
    • Possible new effects in superconductive tunnelling
    • Josephson, D. [1962] "Possible new effects in superconductive tunnelling," Phys. Lett. 1, 251-253.
    • (1962) Phys. Lett. , vol.1 , pp. 251-253
    • Josephson, D.1
  • 14
    • 0014637480 scopus 로고
    • Josephson-type superconductive tunnel junctions and applications
    • Matisoo, J. [1969] "Josephson-type superconductive tunnel junctions and applications," IEEE Trans. Magn. 5, 848-873.
    • (1969) IEEE Trans. Magn. , vol.5 , pp. 848-873
    • Matisoo, J.1
  • 15
    • 0001834849 scopus 로고
    • On the stability of the center for time periodic perturbations
    • Melnikov, V.K. [1963] "On the stability of the center for time periodic perturbations," Trans. Moscow Math. Soc. 12, 1-56.
    • (1963) Trans. Moscow Math. Soc. , vol.12 , pp. 1-56
    • Melnikov, V.K.1
  • 16
    • 0021785308 scopus 로고
    • Josephson-junction circuit analysis via integral manifolds, Part II
    • Odýniec, M. & Chua, L.O. [1985] "Josephson-junction circuit analysis via integral manifolds, Part II," IEEE Trans. Circuits Syst. CAS-32, 34-45.
    • (1985) IEEE Trans. Circuits Syst. , vol.CAS-32 , pp. 34-45
    • Odýniec, M.1    Chua, L.O.2
  • 18
    • 0003229603 scopus 로고
    • Averaging methods in nonlinear dynamical systems
    • Springer-Verlag, NY
    • Sanders, J.A. & Verhulst, F. [1985] Averaging Methods in Nonlinear Dynamical Systems, Applied Mathematics Sciences, Vol. 59 (Springer-Verlag, NY).
    • (1985) Applied Mathematics Sciences , vol.59
    • Sanders, J.A.1    Verhulst, F.2
  • 19
    • 0000643668 scopus 로고
    • Limit cycles in Josephson equation
    • Sanders, J.A. & Cushman, R.H. [1986] "Limit cycles in Josephson equation," SIAM J. Math. Anal. 17, 495-511.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 495-511
    • Sanders, J.A.1    Cushman, R.H.2
  • 20
    • 0000171742 scopus 로고
    • Melnikov's method at a saddle-node and the dynamics of the forced Josephson junction
    • Schecter, S. [1987] "Melnikov's method at a saddle-node and the dynamics of the forced Josephson junction," SIAM J. Math. Anal. 18, 1699-1715.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 1699-1715
    • Schecter, S.1
  • 21
    • 0010601999 scopus 로고
    • I-V characteristics and stationary dynamics of a Josephson junction including the interference term in the current phase relation
    • Schlup, W.A. [1974] "I-V characteristics and stationary dynamics of a Josephson junction including the interference term in the current phase relation," J. Phys. C. Solid State Phys. 7, 736-748.
    • (1974) J. Phys. C. Solid State Phys. , vol.7 , pp. 736-748
    • Schlup, W.A.1
  • 23
    • 0030573385 scopus 로고    scopus 로고
    • Second-order averaging and Melnikov analysis for forced non-linear oscillators
    • Yagasaki, K. [1996] "Second-order averaging and Melnikov analysis for forced non-linear oscillators," J. Sound Vib. 190, 587-609.
    • (1996) J. Sound Vib. , vol.190 , pp. 587-609
    • Yagasaki, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.