A theory of nonlinear networks. II

Brayton, R. K.; Moser, J. K.

doi:10.1090/qam/169747

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

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