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1
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85035209596
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J. P. Crutchfield and K. Kaneko, in, edited by Hao Bai-Lin (World Scientific, Singapore, 1987), II, and references therein
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J. P. Crutchfield and K. Kaneko, in Directions in Chaos, edited by Hao Bai-Lin (World Scientific, Singapore, 1987), Vol. II, and references therein.
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10
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0343689904
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A few of the references are, and
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A few of the references are L. Pecora and T. M. Caroll, Phys. Rev. Lett.64, 821 (1990);
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(1990)
Phys. Rev. Lett.
, vol.64
, pp. 821
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Pecora, L.1
Caroll, T.M.2
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15
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0003943702
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Oxford University Press, Oxford, See, for example
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See, for example, S. Barnett, Matrices, Methods and Applications (Oxford University Press, Oxford, 1990).
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(1990)
Matrices, Methods and Applications
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Barnett, S.1
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16
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0003625444
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Springer-Verlag, Berlin, and, Chap. 1
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A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices (Springer-Verlag, Berlin, 1993), Chap. 1.
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(1993)
Products of Random Matrices
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Crisanti, A.1
Paladin, G.2
Vulpiani, A.3
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17
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0000435159
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For the extension of the theorem in 12 to complex matrices see
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For the extension of the theorem in 12 to complex matrices see H. J. Sommers, Phys. Rev. Lett.60, 1895 (1988).
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(1988)
Phys. Rev. Lett.
, vol.60
, pp. 1895
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Sommers, H.J.1
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20
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85035229940
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One can easily confirm numerically that the largest eigenvalue of the product of a few matrices converges to the expected value for a single matrix. However, we are not aware of a rigorous mathematical extension of the sufficient condition of this theorem 14 for the complex case
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One can easily confirm numerically that the largest eigenvalue of the product of a few matrices converges to the expected value for a single matrix. However, we are not aware of a rigorous mathematical extension of the sufficient condition of this theorem 14 for the complex case.
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24
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0001772946
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We would like to point out that the recent work (after submission of this paper) on coupled Josephson junction arrays with disorder [, and, gives a similar explanation for the observation that introducing disorder in JJA’s improves the synchronization considerably
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We would like to point out that the recent work (after submission of this paper) on coupled Josephson junction arrays with disorder [Y. Braiman, W. L. Ditto, K. Wiesenfeld and M. L. Spano, Phys. Lett. A206, 54 (1995)] gives a similar explanation for the observation that introducing disorder in JJA’s improves the synchronization considerably.
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(1995)
Phys. Lett.
, vol.206
, pp. 54
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Braiman, Y.1
Ditto, W.L.2
Wiesenfeld, K.3
Spano, M.L.4
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