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Online ISSN 1552-4485; Print ISSN 0033-569X
A theory of nonlinear networks. II
Authors:
R. K. Brayton and J. K. Moser
Journal:
Quart. Appl. Math. 22 (1964), 81-104
MSC:
Primary 94.30
DOI:
https://doi.org/10.1090/qam/169747
MathSciNet review:
169747
Full-text PDF Free Access
References | Similar Articles | Additional Information
- R. K. Brayton and J. K. Moser, A theory of nonlinear networks. I, Quart. Appl. Math. 22 (1964), 1–33. MR 169746, DOI https://doi.org/10.1090/S0033-569X-1964-0169746-7
- R. J. Duffin, Nonlinear networks. IIb, Bull. Amer. Math. Soc. 54 (1948), 119–127. MR 24497, DOI https://doi.org/10.1090/S0002-9904-1948-08964-9
- A. J. Hoffman and J. B. Kruskal, Integral boundary points of convex polyhedra, Linear inequalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N. J., 1956, pp. 223–246. MR 0085148
- Ernst A. Guillemin, Synthesis of passive networks. Theory and methods appropriate to the realization and approximation problems, John wiley and Sons, Inc., New York; Chapman and Hall, Ltd., London, 1958. MR 0137480
- R. J. Duffin, Nonlinear networks. IIa, Bull. Amer. Math. Soc. 53 (1947), 963–971. MR 22960, DOI https://doi.org/10.1090/S0002-9904-1947-08917-5 J. C. Maxwell, A treatise on electricity and magnetism, Vol. I, 3rd Edition, p. 407
- William Millar, Some general theorems for non-linear systems possessing resistance, Philos. Mag. (7) 42 (1951), 1150–1160. MR 44364 E. J. Cartan, Leçons sur les invariants inégraux, A. Hermann, Paris, 1922 G. Newstead, General circuit theory, Methuen, London, 1959 R. M. Foster, A reactance theorem, Bell System Technical Journal 3, 259–267 (1924) E. A. Guillemin, Synthesis of passive networks J. Wiley, New York, 1957
- Paul R. Halmos, Finite-dimensional vector spaces, The University Series in Undergraduate Mathematics, D. Van Nostrand Co., Inc., Princeton-Toronto-New York-London, 1958. 2nd ed. MR 0089819
- Norman Levinson, On the existence of periodic solutions for second order differential equations with a forcing term, J. Math. Phys. Mass. Inst. Tech. 22 (1943), 41–48. MR 8866, DOI https://doi.org/10.1002/sapm194322141
- Solomon Lefschetz, Introduction to Topology, Princeton Mathematical Series, vol. 11, Princeton University Press, Princeton, N. J., 1949. MR 0031708
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Article copyright:
© Copyright 1964
American Mathematical Society