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Resonance frequencies of a ring fluxon oscillator
1.A. C. Scott, Nuovo Cimento 69B, 241 (1970);
1.A. C. Scott, Am. J. Phys. 37, 52 (1969).
2.K. Nakajima, Y. Onodera, and J. Ogawa, J. Appl. Phys. 47, 1620 (1976).
3.T. Nagatsuma, K. Enpuku, K. Suoeka, K. Joshida, and F. Irie, J. Appl. Phys. 58, 441 (1985).
4.D. W. McLaughlin and A. C. Scott, Phys. Rev. A 18, 1652 (1978).
5.The analytical properties of the relevant quantities introduced in this short communication and the stability of solutions (3) and (10) will be discussed in detail in a forthcoming paper.
6.G. Constabile, R. D. Parmentier, B. Savo, D. W. McLaughlin, and A. C. Scott, Appl. Phys. Lett. 32, 587 (1978).
7.P. F. Byrd and M. D. Friedman, Handbook of the Elliptic Integrals (Springer, Berlin, 1971).
8.From now on we assume that n can be accounted for explicitly by rescaling R to
9.Note that Eqs. (18) and (23) only apply in the case of finite R. The threshold of stability for a fluxon‐antifluxon pair in an infinite linear JTL, Fig. 9 of Ref. 4, cannot be reproduced by taking the limit of Eq. (18).
10.J. F. Currie, J. A. Krumhansl, A. R. Bishop, and S. E. Trullinger, Phys. Rev. B 22, 477 (1980).
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